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Johns Hopkins University Statistical Concepts in Public Health Homework 4
Need help with a statistics homework assignment. I have attached it for review. One of the documents provided contains the ...
Johns Hopkins University Statistical Concepts in Public Health Homework 4
Need help with a statistics homework assignment. I have attached it for review. One of the documents provided contains the multiple choice options. I have also included a document with my answers highlighted, but it is only ~70% correct, and I'm trying to figure out which ones I got wrong. Covers all aspects of stat from theory to confidence intervals.
MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet
Directions: a)Enter all your answers into this Word document (immediately following the relevant question) and submit the ...
MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet
Directions: a)Enter all your answers into this Word document (immediately following the relevant question) and submit the entire document. IMPORTANT: The name of your Word document MUST begin with your LAST NAME.b)When you use a Template to calculate an answer, copy and paste the results into this document.c)While putting your answers in a different color font is helpful, please DO NOT use red font since this is the color used to provide feedback on your answers.1.The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.a.How many variables are in the data set?b.Which of the variables are categorical and which are quantitative?c.For the Exchange variable, show the frequency and the percent frequency for AMEX, NYSE, and OTC. Construct a bar graph similar to Figure 1.4 (in the textbook) for the Exchange variable.d.Show the frequency distribution for the Gross Profit Margin using he five intervals: 0 – 14.9, 15 – 29.9, 30 – 44.9, 45 – 59.9, and 60 – 74.9. Construct a histogram similar to Figure 1.5 (in the textbook).e.What is the average price/earnings ratio?DATA SET FOR 25 SHADOW STOCKSCompanyExchangeTicker SymbolMarket Cap ($ millions)Price/ Earnings RatioGross Profit Margin (%)DeWolfe CompaniesAMEXDWL36.48.436.7North Coast EnergyOTCNCEB52.56.259.3Hansen Natural Corp.OTCHANS41.114.644.8MarineMax, Inc.NYSEHZO111.57.223.8Nanometrics Inc.OTCNANO228.638.053.3Team Staff, Inc.OTCTSTF92.133.54.1Environmental TectonicsAMEXETC51.135.835.9Measurement SpecialtiesAMEXMSS101.826.837.6SEMCO Energy, Inc.NYSESEN193.418.723.6Party City CorporationOTCPCTY97.215.936.4Embrex, Inc.OTCEMBX136.518.959.5Tech/Ops Sercon, Inc.AMEXTO23.220.735.7ARCADIS NVOTCARCAF173.48.89.6Qiao Xing Universal Tele.OTCXING64.322.130.8Energy West Inc.OTCEWST29.19.716.3Barnwell Industries, Inc.AMEXBRN27.37.473.4Innodata CorporationOTCINOD66.111.029.6Medical Action IndustriesOTCMDCI137.126.930.6Instrumentarium Corp.OTCINMRY240.93.652.1Petroleum DevelopmentOTCPETD95.96.119.4Drexler Technology Corp.OTCDRXR233.645.653.6Gerber Childrenswear, Inc.NYSEGCW126.97.925.8Gaiam, Inc,OTCGAIA295.568.260.7Artesian Resources Corp.OTCARTNA62.820.545.5York Water CompanyOTCYORW92.222.974.22.People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension.a.Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender.b.What does the display you developed in part (a), indicate about hypertension and age?c.Comment on differences in gender.AgeMaleFemale20 - 3411.0%9.0%35 – 4424.0%19.0%45 – 5439.0%37.0%55 – 6457.0%56.0%65 – 7462.0%64.0%75 +73.3%79.0%3.The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below.a.Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis.b.Compute the sample mean and standard deviation for each variable.c.Compute the sample correlation coefficient. Is there a positive or negative correlation between these two variables? Comment.Speed (Miles per Hour)30504055302560255055Miles per Gallon282525233032213526254.The U.S. Census Bureau serves as the leading source of quantitative data about the nation’s people and economy. The following cross-tabulation shows the number of households (1,000s) and the household income by the highest of level of education for the head of the household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included.a.Develop a joint probability tableb.What is the probability of the head of one of these households having a master’s degree or more education?c.What is the probability of a household headed by someone with a high school diploma earning $100,000 or more?d.What is the probability of one of these households having an income below $25,000?e.What is the probability of a household headed by someone with a bachelor’s degree earning less than $25,000?f.Is household income independent of educational level?Highest Level of EducationHousehold IncomeUnder $25,000$25,000 to $49,999$50,000 to $99,999$100,000 and OverTOTALHigh School Graduate988099709441348232,773Bachelor’s Degree248441647666781722,131Master’s Degree6851205301940949003Doctoral Degree7916042210761737TOTAL13,12815,49920,54816,46965,644
MGH 1106 USF Archimedes and A Bathtub & How Solve the Problem for The King Essay
1. One of the most famous events in the study of geometry involved Archimedes and a bath tub. Research this story. Find at ...
MGH 1106 USF Archimedes and A Bathtub & How Solve the Problem for The King Essay
1. One of the most famous events in the study of geometry involved Archimedes and a bath tub. Research this story. Find at least 2-3 different sources of information. To properly complete this assignment, you will need to do the following:Explain the story in your own words, citing your sources of information.Describe how the story relates to the study of geometry.2. Create a new Microsoft Word (.doc / .docx) or Rich Text Format (.rtf) document on your computer, and write 1-2 pages (please see formatting information below) explaining the story and relating it to the study of geometry in your own words. Please cite 2-3 references from websites that are reputable (they have a ".edu" extension). Note: headings, titles, references, blank lines etc. do not count towards the more than one page requirement.Please follow MLA formatting (Purdue Owl MLA Style Guide):Double spaced12pt font1" marginsIndent paragraphsInclude a Works Cited page (separate page, not included in the 1-2 page requirement)3. Submit your completed document to the Historical Developments in Geometry dropbox folder.Historical Developments in Geometry dropbox folder
aLGEBRA 1 basic 3 questions
You want to go on a road trip this weekend from Washington DC to Boston to visit your brother. You want to travel on Inter ...
aLGEBRA 1 basic 3 questions
You want to go on a road trip this weekend from Washington DC to Boston to visit your brother. You want to travel on Interstate 95, which is 438 miles long.a. You are able to maintain an average speed of 60 mph. How long will the trip take you? )b. You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and entertainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation?Your car will get 25 miles per gallon, and the average cost for gas along this route is $3.60 per gallon. You plan to take your brother on a tour of Boston and to dinner. The tour costs $34.99 per person for an 80-minute tour, and dinner is $17.50 per person. You have also calculated that other meals and snacks will cost $60.c. How many gallons of gas will you need?d. What is the cost of the gas?e. How much will the tour and dinner cost for you and your brother?f. Have you saved enough money to make the trip this weekend or do you need to wait? If you do need to wait, how many more weeks do you need to save enough money?You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. You will have no access to any electricity, but you must be able to illuminate the entire grounds. You know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. Suppose the intensity is 90 when the distance is 5 m.a. Write an equation to model the situation.b. Solve for the constant of variation.c. Write the equation to model the situation using the constant () of variation.d. You have been given lanterns with 40 light intensity. Use your equation to solve for the distance from the lantern.e. You need to illuminate 225 km. How many meters do you need to light?f. How many lanterns will you need?
UMGC Agency Leadership Worksheet
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is ...
UMGC Agency Leadership Worksheet
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with the industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles1. Agency leadership wants to create a simple linear regression model to predict a vehicle's average fuel economy based on the weight of the vehicle.Create a scatterplot using Vehicle Weight as the independent variable and Average MPG as the dependent variable. Perform a visual analysis of the data: describe the trend, strength, and shape of the relationship between these two variables. Choose the correct answer below.A. The scatterplot indicates there is a positive, strong, linear relationship between Vehicle Weight and Average MPG.B. The scatterplot indicates there is a positive, weak, linear relationship between Vehicle Weight and Average MPG.C. The scatterplot indicates there is a negative, strong, linear relationship between Vehicle Weight and Average MPG D. The scatterplot indicates there is a negative, weak, linear relationship between Vehicle Weight and Average MPG.E.The scatterplot indicates there is no relationship between Vehicle Weight and Average MPG.1.1. Include the scatterplot image as part of your answer. Save the image as a .jpg or .png file, then click "Show Work" and use the "Insert Image" button to upload and save your scatterplot.1.2. Based upon your visual analysis of the scatterplot, is simple linear regression appropriate? Why or why not?2. What is the correlation coefficient between Vehicle Weight and Average MPG? (Round to two decimal places)2.1. Interpret the correlation coefficient in this context.3. Using your simple linear regression model, what is the value for the slope for this regression model? (Round to decimal places)3.1. Interpret the slope in this context.4. Using your simple linear regression model, what is the value for the y-intercept for this regression model? (Round to two decimal places)4.1. Interpret the y-intercept in this context.5. Using your simple linear regression model, for each one pound increase in vehicle weight, how much would one predict the vehicle's average fuel economy to decrease? (Round to three decimal places)5.1. Using your simple linear regression model, what is the predicted Average MPG of a vehicle when the Vehicle Weight is 2700 pounds (round the slope to 3 decimal places and y-intercept to 2 decimal places)?5.2. Based upon your simple linear regression, should the agency's leadership be concerned that if new vehicles continue to be produced with heavier weights that its goal of better fuel economy will be jeopardized?6. Another facet of the weight of the car is the question of whether or not weight differs for cars that meet standards and those that do not. Create a side-by-side boxplot of the weight of cars, distinguishing between cars that meet standards and those that do not.Include the side-by-side boxplot image as part of your answer. Save the image as a .jpg or .png file, then click "Show Work" and use the "Insert Image" button to upload and save your boxplot.6.1. Describe and interpret the shapes of the two boxplots.7. One typically expects that e.g. trucks have a different fuel efficiency than passenger cars. That could be tested by a two-sample t-test, but we do not have two types of cars, but more than two. Our two-sample test won't help to compare passenger cars, SUVs, and trucks. As such, conduct an ANOVA F-test to investigate if the average fuel efficiency of cars differs between the three types of cars.Now run the One Way ANOVA. What is the value of the test statistic of this ANOVA test?Test statistic = (Round to two decimal places)7.1. What are the degrees of freedom of the test statistic of the ANOVA test?Degrees of Freedom (Total)= (Type a whole number)7.2. What is the P-value of the test statistic of the ANOVA test?P-value= (Round to three decimal places)7.3. Describe in your own words what you conclude from the outcome of this ANOVA test. Is it in line with the expectations you had?8. One typically expects that e.g. trucks have a different fuel efficiency than passenger cars. That could be tested by a two-sample t-test, but we do not have two types of cars, but more than two. Our two-sample test won't help to compare passenger cars, SUVs, and trucks.If we wish to investigate if the average fuel efficiency of cars differs between the three types of cars, what type of analysis do we need?A.Two-sample t-testB.χ2 test for independenceC. ANOVA F-testD. χ2 test for homogeneity8.1. What is the null hypothesis of the test that there is no difference in fuel efficiency between the types of cars?A. All medians of fuel efficiency are equal for the three types of carsB. All means of fuel efficiency are equal for the three types of carsC. At least one means of fuel efficiency differs from the means of the other two types of carD. All three means of fuel efficiency are different for the three types of cars8.2. What is the alternative hypothesis of the test that there is no difference in fuel efficiency between the types of cars?A. All means of fuel efficiency are equal for the three types of carsB. All medians of fuel efficiency are equal for the three types of carsC. All three means of fuel efficiency are different for the three types of carsD. At least one means of fuel efficiency differs from the means of the other two types of cars8.3. Create side-by-side boxplots in StatCrunch. What type of car has the highest variability in fuel efficiency (judge by the graph, do not calculate)?A.TrucksB. Passenger carsC. SUVs8.4. And again looking at the side-by-side boxplot only, without yet doing any calculations: do you expect to find significant differences in mean fuel efficiency between the types of cars?A. No, because differences in medians are small.B. No, because differences in medians are small relative to the amount of variation within each type.C. Yes, because differences in medians are small relative to the amount of variation within each type.D. Yes, because differences in medians are small.
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Johns Hopkins University Statistical Concepts in Public Health Homework 4
Need help with a statistics homework assignment. I have attached it for review. One of the documents provided contains the ...
Johns Hopkins University Statistical Concepts in Public Health Homework 4
Need help with a statistics homework assignment. I have attached it for review. One of the documents provided contains the multiple choice options. I have also included a document with my answers highlighted, but it is only ~70% correct, and I'm trying to figure out which ones I got wrong. Covers all aspects of stat from theory to confidence intervals.
MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet
Directions: a)Enter all your answers into this Word document (immediately following the relevant question) and submit the ...
MNS 601 NU Statistics Data Set & Shadow Stocks Questions & Excel Worksheet
Directions: a)Enter all your answers into this Word document (immediately following the relevant question) and submit the entire document. IMPORTANT: The name of your Word document MUST begin with your LAST NAME.b)When you use a Template to calculate an answer, copy and paste the results into this document.c)While putting your answers in a different color font is helpful, please DO NOT use red font since this is the color used to provide feedback on your answers.1.The following table shows a data set containing information for 25 of the shadow stocks tracked by the American Association of Individual Investors. Shadow stocks are common stocks of smaller companies that are not closely followed by Wall Street analysts.a.How many variables are in the data set?b.Which of the variables are categorical and which are quantitative?c.For the Exchange variable, show the frequency and the percent frequency for AMEX, NYSE, and OTC. Construct a bar graph similar to Figure 1.4 (in the textbook) for the Exchange variable.d.Show the frequency distribution for the Gross Profit Margin using he five intervals: 0 – 14.9, 15 – 29.9, 30 – 44.9, 45 – 59.9, and 60 – 74.9. Construct a histogram similar to Figure 1.5 (in the textbook).e.What is the average price/earnings ratio?DATA SET FOR 25 SHADOW STOCKSCompanyExchangeTicker SymbolMarket Cap ($ millions)Price/ Earnings RatioGross Profit Margin (%)DeWolfe CompaniesAMEXDWL36.48.436.7North Coast EnergyOTCNCEB52.56.259.3Hansen Natural Corp.OTCHANS41.114.644.8MarineMax, Inc.NYSEHZO111.57.223.8Nanometrics Inc.OTCNANO228.638.053.3Team Staff, Inc.OTCTSTF92.133.54.1Environmental TectonicsAMEXETC51.135.835.9Measurement SpecialtiesAMEXMSS101.826.837.6SEMCO Energy, Inc.NYSESEN193.418.723.6Party City CorporationOTCPCTY97.215.936.4Embrex, Inc.OTCEMBX136.518.959.5Tech/Ops Sercon, Inc.AMEXTO23.220.735.7ARCADIS NVOTCARCAF173.48.89.6Qiao Xing Universal Tele.OTCXING64.322.130.8Energy West Inc.OTCEWST29.19.716.3Barnwell Industries, Inc.AMEXBRN27.37.473.4Innodata CorporationOTCINOD66.111.029.6Medical Action IndustriesOTCMDCI137.126.930.6Instrumentarium Corp.OTCINMRY240.93.652.1Petroleum DevelopmentOTCPETD95.96.119.4Drexler Technology Corp.OTCDRXR233.645.653.6Gerber Childrenswear, Inc.NYSEGCW126.97.925.8Gaiam, Inc,OTCGAIA295.568.260.7Artesian Resources Corp.OTCARTNA62.820.545.5York Water CompanyOTCYORW92.222.974.22.People often wait till middle age to worry about having a healthy heart. However, recent studies have shown that earlier monitoring of risk factors such as blood pressure can be very beneficial (The Wall Street Journal, January 10, 2012). Having higher than normal blood pressure, a condition known as hypertension, is a major risk factor for heart disease. Suppose a large sample of individuals of various ages and gender was selected and that each individual’s blood pressure was measured to determine if they have hypertension. For the sample data, the following table shows the percentage of individuals with hypertension.a.Develop a side-by-side bar chart with age on the horizontal axis, the percentage of individuals with hypertension on the vertical axis, and side-by-side bars based on gender.b.What does the display you developed in part (a), indicate about hypertension and age?c.Comment on differences in gender.AgeMaleFemale20 - 3411.0%9.0%35 – 4424.0%19.0%45 – 5439.0%37.0%55 – 6457.0%56.0%65 – 7462.0%64.0%75 +73.3%79.0%3.The department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the data below.a.Plot the speed and miles per gallon using a scatter plot with speed on the horizontal axis.b.Compute the sample mean and standard deviation for each variable.c.Compute the sample correlation coefficient. Is there a positive or negative correlation between these two variables? Comment.Speed (Miles per Hour)30504055302560255055Miles per Gallon282525233032213526254.The U.S. Census Bureau serves as the leading source of quantitative data about the nation’s people and economy. The following cross-tabulation shows the number of households (1,000s) and the household income by the highest of level of education for the head of the household (U.S. Census Bureau website, 2013). Only households in which the head has a high school diploma or more are included.a.Develop a joint probability tableb.What is the probability of the head of one of these households having a master’s degree or more education?c.What is the probability of a household headed by someone with a high school diploma earning $100,000 or more?d.What is the probability of one of these households having an income below $25,000?e.What is the probability of a household headed by someone with a bachelor’s degree earning less than $25,000?f.Is household income independent of educational level?Highest Level of EducationHousehold IncomeUnder $25,000$25,000 to $49,999$50,000 to $99,999$100,000 and OverTOTALHigh School Graduate988099709441348232,773Bachelor’s Degree248441647666781722,131Master’s Degree6851205301940949003Doctoral Degree7916042210761737TOTAL13,12815,49920,54816,46965,644
MGH 1106 USF Archimedes and A Bathtub & How Solve the Problem for The King Essay
1. One of the most famous events in the study of geometry involved Archimedes and a bath tub. Research this story. Find at ...
MGH 1106 USF Archimedes and A Bathtub & How Solve the Problem for The King Essay
1. One of the most famous events in the study of geometry involved Archimedes and a bath tub. Research this story. Find at least 2-3 different sources of information. To properly complete this assignment, you will need to do the following:Explain the story in your own words, citing your sources of information.Describe how the story relates to the study of geometry.2. Create a new Microsoft Word (.doc / .docx) or Rich Text Format (.rtf) document on your computer, and write 1-2 pages (please see formatting information below) explaining the story and relating it to the study of geometry in your own words. Please cite 2-3 references from websites that are reputable (they have a ".edu" extension). Note: headings, titles, references, blank lines etc. do not count towards the more than one page requirement.Please follow MLA formatting (Purdue Owl MLA Style Guide):Double spaced12pt font1" marginsIndent paragraphsInclude a Works Cited page (separate page, not included in the 1-2 page requirement)3. Submit your completed document to the Historical Developments in Geometry dropbox folder.Historical Developments in Geometry dropbox folder
aLGEBRA 1 basic 3 questions
You want to go on a road trip this weekend from Washington DC to Boston to visit your brother. You want to travel on Inter ...
aLGEBRA 1 basic 3 questions
You want to go on a road trip this weekend from Washington DC to Boston to visit your brother. You want to travel on Interstate 95, which is 438 miles long.a. You are able to maintain an average speed of 60 mph. How long will the trip take you? )b. You have been saving $25 a week to make the trip; you now have $200. This money will be budgeted to include gas, food, and entertainment. Write an equation to model your savings plan and then graph it. What would be the domain and range in this situation?Your car will get 25 miles per gallon, and the average cost for gas along this route is $3.60 per gallon. You plan to take your brother on a tour of Boston and to dinner. The tour costs $34.99 per person for an 80-minute tour, and dinner is $17.50 per person. You have also calculated that other meals and snacks will cost $60.c. How many gallons of gas will you need?d. What is the cost of the gas?e. How much will the tour and dinner cost for you and your brother?f. Have you saved enough money to make the trip this weekend or do you need to wait? If you do need to wait, how many more weeks do you need to save enough money?You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. You will have no access to any electricity, but you must be able to illuminate the entire grounds. You know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. Suppose the intensity is 90 when the distance is 5 m.a. Write an equation to model the situation.b. Solve for the constant of variation.c. Write the equation to model the situation using the constant () of variation.d. You have been given lanterns with 40 light intensity. Use your equation to solve for the distance from the lantern.e. You need to illuminate 225 km. How many meters do you need to light?f. How many lanterns will you need?
UMGC Agency Leadership Worksheet
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is ...
UMGC Agency Leadership Worksheet
A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy (average miles per gallon (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with the industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size (Gallons), Engine Size (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles1. Agency leadership wants to create a simple linear regression model to predict a vehicle's average fuel economy based on the weight of the vehicle.Create a scatterplot using Vehicle Weight as the independent variable and Average MPG as the dependent variable. Perform a visual analysis of the data: describe the trend, strength, and shape of the relationship between these two variables. Choose the correct answer below.A. The scatterplot indicates there is a positive, strong, linear relationship between Vehicle Weight and Average MPG.B. The scatterplot indicates there is a positive, weak, linear relationship between Vehicle Weight and Average MPG.C. The scatterplot indicates there is a negative, strong, linear relationship between Vehicle Weight and Average MPG D. The scatterplot indicates there is a negative, weak, linear relationship between Vehicle Weight and Average MPG.E.The scatterplot indicates there is no relationship between Vehicle Weight and Average MPG.1.1. Include the scatterplot image as part of your answer. Save the image as a .jpg or .png file, then click "Show Work" and use the "Insert Image" button to upload and save your scatterplot.1.2. Based upon your visual analysis of the scatterplot, is simple linear regression appropriate? Why or why not?2. What is the correlation coefficient between Vehicle Weight and Average MPG? (Round to two decimal places)2.1. Interpret the correlation coefficient in this context.3. Using your simple linear regression model, what is the value for the slope for this regression model? (Round to decimal places)3.1. Interpret the slope in this context.4. Using your simple linear regression model, what is the value for the y-intercept for this regression model? (Round to two decimal places)4.1. Interpret the y-intercept in this context.5. Using your simple linear regression model, for each one pound increase in vehicle weight, how much would one predict the vehicle's average fuel economy to decrease? (Round to three decimal places)5.1. Using your simple linear regression model, what is the predicted Average MPG of a vehicle when the Vehicle Weight is 2700 pounds (round the slope to 3 decimal places and y-intercept to 2 decimal places)?5.2. Based upon your simple linear regression, should the agency's leadership be concerned that if new vehicles continue to be produced with heavier weights that its goal of better fuel economy will be jeopardized?6. Another facet of the weight of the car is the question of whether or not weight differs for cars that meet standards and those that do not. Create a side-by-side boxplot of the weight of cars, distinguishing between cars that meet standards and those that do not.Include the side-by-side boxplot image as part of your answer. Save the image as a .jpg or .png file, then click "Show Work" and use the "Insert Image" button to upload and save your boxplot.6.1. Describe and interpret the shapes of the two boxplots.7. One typically expects that e.g. trucks have a different fuel efficiency than passenger cars. That could be tested by a two-sample t-test, but we do not have two types of cars, but more than two. Our two-sample test won't help to compare passenger cars, SUVs, and trucks. As such, conduct an ANOVA F-test to investigate if the average fuel efficiency of cars differs between the three types of cars.Now run the One Way ANOVA. What is the value of the test statistic of this ANOVA test?Test statistic = (Round to two decimal places)7.1. What are the degrees of freedom of the test statistic of the ANOVA test?Degrees of Freedom (Total)= (Type a whole number)7.2. What is the P-value of the test statistic of the ANOVA test?P-value= (Round to three decimal places)7.3. Describe in your own words what you conclude from the outcome of this ANOVA test. Is it in line with the expectations you had?8. One typically expects that e.g. trucks have a different fuel efficiency than passenger cars. That could be tested by a two-sample t-test, but we do not have two types of cars, but more than two. Our two-sample test won't help to compare passenger cars, SUVs, and trucks.If we wish to investigate if the average fuel efficiency of cars differs between the three types of cars, what type of analysis do we need?A.Two-sample t-testB.χ2 test for independenceC. ANOVA F-testD. χ2 test for homogeneity8.1. What is the null hypothesis of the test that there is no difference in fuel efficiency between the types of cars?A. All medians of fuel efficiency are equal for the three types of carsB. All means of fuel efficiency are equal for the three types of carsC. At least one means of fuel efficiency differs from the means of the other two types of carD. All three means of fuel efficiency are different for the three types of cars8.2. What is the alternative hypothesis of the test that there is no difference in fuel efficiency between the types of cars?A. All means of fuel efficiency are equal for the three types of carsB. All medians of fuel efficiency are equal for the three types of carsC. All three means of fuel efficiency are different for the three types of carsD. At least one means of fuel efficiency differs from the means of the other two types of cars8.3. Create side-by-side boxplots in StatCrunch. What type of car has the highest variability in fuel efficiency (judge by the graph, do not calculate)?A.TrucksB. Passenger carsC. SUVs8.4. And again looking at the side-by-side boxplot only, without yet doing any calculations: do you expect to find significant differences in mean fuel efficiency between the types of cars?A. No, because differences in medians are small.B. No, because differences in medians are small relative to the amount of variation within each type.C. Yes, because differences in medians are small relative to the amount of variation within each type.D. Yes, because differences in medians are small.
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