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As RT is the bisector of <QRS then this means RT is dividing <QRS in two equal parts, then from figure it is clear that
<RTQ = 90 deg
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Twenty five independent polls of one thousand random people each are taken during the course of an extremely close election campaign
Twenty five independent
polls of one thousand random people each are taken during the course of an
extremely close ele ...
Twenty five independent polls of one thousand random people each are taken during the course of an extremely close election campaign
Twenty five independent
polls of one thousand random people each are taken during the course of an
extremely close election campaign. People in the poll are asked which of the
two candidates they favor and the percentage who favor the incumbent candidate
is computed for each poll.
a. Estimate the standard error and the margin of error for each of these polls.
Justify your answer and briefly explain the differences between them.
b. How large a poll sample would be required if a margin of error of only 10%
was desired?
c. One of the other candidate’s approval ratings averaged around 48% over all
the twenty five polls. If you computed the standard deviation of the list of
all twenty five poll percentages for this candidate, approximately what number
would you expect to get? Explain.
Using the ROI data set:
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Downl ...
Using the ROI data set:
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Download it here.
Using the ROI data set: For each of the two majors:Draw the scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’.Obtain b0 and b1 of the regression equation defined as y ̂ = b0 + b1X and the coefficient of determination (r2) from the Excel regression output. Draw the fitted regression line on the scatter diagram.Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.Test the hypothesis: H0: β1 = 0Ha: β1 ≠ 0Write a paragraph or more on any observations you make about the regression estimates, coefficient of determination, the plots, and the results of your hypothesis tests.Grading Criteria AssignmentsMaximum PointsMeets or exceeds established assignment criteria40Demonstrates an understanding of lesson concepts20Clearly presents well-reasoned ideas and concepts30Uses proper mechanics, punctuation, sentence structure, and spelling10Total100
Harvard University Health Stats Worksheet
Question 2 What is the crude mortality rate?Age-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a. ...
Harvard University Health Stats Worksheet
Question 2 What is the crude mortality rate?Age-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a.230b.6.1 per 1,000c.8.6 per 1,000d.6.1 per 10,000Question 3 The age-specific death rate for the over-65 age group isAge-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a.155b.25.8 per 1,000c.1.55 per 10,000d.25.8 per 10,000Question 4 Calculate the relative risk of stroke of male smokers to male nonsmokersStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872a.1.54b.1.88c.2.08d.None of the above is correctQuestion 5 Calculate the odds ratio of having a stroke in men who smoke to those who do not smokeStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872a.1.93b.1.88c.1.78d.1.34Question 6 Is the following interpretation of the odds ratio true or false?The odds of having a stoke are 1.93 times higher in men who smoke than in men who do not smokeStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872 True FalseQuestion 7 A new type of test, Generation A, was given to 500 individuals with suspected diabetes, of whom 320 were actually found to have diabetes. The results of the examination are presented in the following table:Generation A ResultDiabetesTest ResultPresentAbsentPositive30050Negative20130Compute the sensitivity and specificity of the findings shown for Test A.a.Sensitivity = 93.7%, Specificity = 72.2%b.Sensitivity = 96.7%, Specificity = 70.2%c.Sensitivity = 95.7%, Specificity = 76.2%d.Sensitivity = 91.7%, Specificity = 78.2%Question 8 A new type of test, Generation A, was given to 500 individuals with suspected diabetes, of whom 320 were actually found to have diabetes. The results of the examination are presented in the following table:Generation A ResultDiabetesTest ResultPresentAbsentPositive30050Negative20130Compute the positive and negative predictive values of the findings shown for the test.a.Positive Predictive value = 82.3% , Negative Predictive Value = 87.5%b.Positive Predictive value = 85.7% , Negative Predictive Value = 86.7%c.Positive Predictive value = 80.1% , Negative Predictive Value = 82.2%d.Positive Predictive value = 77.3% , Negative Predictive Value = 79.3%Question 9 From the following scatter plot, we can say that between y and x there is _______a.Perfect positive correlationb.Virtually no correlationc.Positive correlationd.Negative correlation7 points Question 10 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73What is the regression equation based on this analysis?a.Y = 0.18 x1 + 0.27 x2 –0.51 x3 b.Y = 6.59 – 0.18 x1 + 0.27 x2 c.Y = 6.59 – 0.18 x1 + 0.27 x2 – 2.31x3 d.None of the aboveQuestion 11 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73Which of the following interpretations is correct?a.For every additional year in the employee's age, the average number of absent days in the last year significantly (p-value<0.05) increases by 0.27 days. b.For every additional year in employee’s length of employment, the average number of absent days in the last year significantly (p-value<0.05) decreases by 0.51 days. c.None of the above is correct.6 points Question 12 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73Which of the following statements is correct about the R2?a.The adjusted R2 value is 0.25. This means that the model explains around 25% of the variation in the average number of days absent in the last year. b.The adjusted R2 value is approximately 0.19. This means that the model explains around 19% of the variation in the average number of days absent in the last year. c.The adjusted R2 value is 0.50. This means that the model explains around 50% of the variation in the average number of days absent in the last year. d.None of the above is correct.Question 13 The following graph of a time-series data suggests a _______________ trend.a.linearb.quadraticc.cosined.tangential7 points Question 14 Fitting a linear trend to 36 monthly data points (January 2000 = 1, February 2000 =2, March 2000 = 3, etc.) produced the following tables.CoefficientsStandard Errort Statisticp-valueIntercept222.37967.358243.3014380.002221x9.0090663.174712.837760.00751dfSSMSFp-valueRegression1315319.3315319.38.0528850.007607Residual34133130639156.07Total351646626The projected trend value for January 2003 is ________.a.231.39b.555.71c.339.50d.447.766 points Question 15 Using a three-month moving average, the forecast value for November in the following time series is ____________.July5Aug11Sept13Oct6a.11.60b.10.00c.9.67d.8.606 points Question 16 When forecasting with exponential smoothing, data from previous periods is _________.a.given equal importanceb.given exponentially increasing importancec.ignoredd.given exponentially decreasing importanceQuestion 17A time series with forecast values and error terms is presented in the following table. The mean absolute deviation (MAD) for this forecast is ___________.
G&B consulting Nash Equilibrium Analysis Assignment
InstructionsA local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in ...
G&B consulting Nash Equilibrium Analysis Assignment
InstructionsA local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in the area and recently the two firms have begun talks in regards to a merger. The merger would mean there are more shared resources than either had before individually. There would also be less competition for both companies. Both would be able to operate more efficiently, however it would take a strong commitment from both sides for the merger to be successful. The law firm that has hired you wants to know their optimum strategy in this situation.What to SubmitTo complete this assignment, you must first you download the word document.Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided.
We want to collect the Max. Temperature reading for each day in your home city or a city near you in February and August for a minimum of 3years.
Temperature patterns seen to be changing around the U.S. Winters seem shorter,
summers seem hotter, and major storms seem ...
We want to collect the Max. Temperature reading for each day in your home city or a city near you in February and August for a minimum of 3years.
Temperature patterns seen to be changing around the U.S. Winters seem shorter,
summers seem hotter, and major storms seem more frequent. Let’s collect some data and
look at what’s happening in your area. You can use the Weather Underground web page
at www.wunderground.com to collect historical data for a particular city. The Weather
Underground (www.wunderground.com) was created by a student/professor team at the
University of Michigan and shortly became a public company providing current and
historical weather data for the United States and other countries. At the top of the
Weather Underground home page you will find a box for entering the name of a city,
state or country. Enter your home city to see the current weather conditions there. Scroll
down and select the History & Almanac Table in which you can enter a date to see
statistics for any day from the past thirty years. Below the field where you enter a specific
date you can select Calender View and see all temperatures for a specific months.We want to collect the Max. Temperature reading for each day in your home city or a city
near you in February (for cold temperatures) and August (for hot temperatures) for a
minimum of 3years.
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Twenty five independent polls of one thousand random people each are taken during the course of an extremely close election campaign
Twenty five independent
polls of one thousand random people each are taken during the course of an
extremely close ele ...
Twenty five independent polls of one thousand random people each are taken during the course of an extremely close election campaign
Twenty five independent
polls of one thousand random people each are taken during the course of an
extremely close election campaign. People in the poll are asked which of the
two candidates they favor and the percentage who favor the incumbent candidate
is computed for each poll.
a. Estimate the standard error and the margin of error for each of these polls.
Justify your answer and briefly explain the differences between them.
b. How large a poll sample would be required if a margin of error of only 10%
was desired?
c. One of the other candidate’s approval ratings averaged around 48% over all
the twenty five polls. If you computed the standard deviation of the list of
all twenty five poll percentages for this candidate, approximately what number
would you expect to get? Explain.
Using the ROI data set:
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Downl ...
Using the ROI data set:
For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet. Download it here.
Using the ROI data set: For each of the two majors:Draw the scatter diagram of Y = ‘Annual % ROI’ against X = ‘Cost’.Obtain b0 and b1 of the regression equation defined as y ̂ = b0 + b1X and the coefficient of determination (r2) from the Excel regression output. Draw the fitted regression line on the scatter diagram.Calculate the estimated ‘Annual % ROI’ when the ‘Cost’ (X) is $160,000.Test the hypothesis: H0: β1 = 0Ha: β1 ≠ 0Write a paragraph or more on any observations you make about the regression estimates, coefficient of determination, the plots, and the results of your hypothesis tests.Grading Criteria AssignmentsMaximum PointsMeets or exceeds established assignment criteria40Demonstrates an understanding of lesson concepts20Clearly presents well-reasoned ideas and concepts30Uses proper mechanics, punctuation, sentence structure, and spelling10Total100
Harvard University Health Stats Worksheet
Question 2 What is the crude mortality rate?Age-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a. ...
Harvard University Health Stats Worksheet
Question 2 What is the crude mortality rate?Age-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a.230b.6.1 per 1,000c.8.6 per 1,000d.6.1 per 10,000Question 3 The age-specific death rate for the over-65 age group isAge-GroupPopulationNumber of Deaths<3015,0002030-6517,00055>656,000155a.155b.25.8 per 1,000c.1.55 per 10,000d.25.8 per 10,000Question 4 Calculate the relative risk of stroke of male smokers to male nonsmokersStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872a.1.54b.1.88c.2.08d.None of the above is correctQuestion 5 Calculate the odds ratio of having a stroke in men who smoke to those who do not smokeStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872a.1.93b.1.88c.1.78d.1.34Question 6 Is the following interpretation of the odds ratio true or false?The odds of having a stoke are 1.93 times higher in men who smoke than in men who do not smokeStrokeSmokersYesNoTotalYes1713,2643,435No1174,3204,437Total2887,5847,872 True FalseQuestion 7 A new type of test, Generation A, was given to 500 individuals with suspected diabetes, of whom 320 were actually found to have diabetes. The results of the examination are presented in the following table:Generation A ResultDiabetesTest ResultPresentAbsentPositive30050Negative20130Compute the sensitivity and specificity of the findings shown for Test A.a.Sensitivity = 93.7%, Specificity = 72.2%b.Sensitivity = 96.7%, Specificity = 70.2%c.Sensitivity = 95.7%, Specificity = 76.2%d.Sensitivity = 91.7%, Specificity = 78.2%Question 8 A new type of test, Generation A, was given to 500 individuals with suspected diabetes, of whom 320 were actually found to have diabetes. The results of the examination are presented in the following table:Generation A ResultDiabetesTest ResultPresentAbsentPositive30050Negative20130Compute the positive and negative predictive values of the findings shown for the test.a.Positive Predictive value = 82.3% , Negative Predictive Value = 87.5%b.Positive Predictive value = 85.7% , Negative Predictive Value = 86.7%c.Positive Predictive value = 80.1% , Negative Predictive Value = 82.2%d.Positive Predictive value = 77.3% , Negative Predictive Value = 79.3%Question 9 From the following scatter plot, we can say that between y and x there is _______a.Perfect positive correlationb.Virtually no correlationc.Positive correlationd.Negative correlation7 points Question 10 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73What is the regression equation based on this analysis?a.Y = 0.18 x1 + 0.27 x2 –0.51 x3 b.Y = 6.59 – 0.18 x1 + 0.27 x2 c.Y = 6.59 – 0.18 x1 + 0.27 x2 – 2.31x3 d.None of the aboveQuestion 11 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73Which of the following interpretations is correct?a.For every additional year in the employee's age, the average number of absent days in the last year significantly (p-value<0.05) increases by 0.27 days. b.For every additional year in employee’s length of employment, the average number of absent days in the last year significantly (p-value<0.05) decreases by 0.51 days. c.None of the above is correct.6 points Question 12 A Director of Human Resources is exploring employee absenteeism at the INCOVA Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.VariableDescriptionYnumber of days absent last fiscal yearx1commuting distance (in miles)x2employee's age (in years)x3length of employment at PPP (in years)CoefficientsStandard Errort Statisticp-valueIntercept6.5941463.2730052.0147070.047671x1-0.180190.141949-1.269390.208391x20.2681560.2606431.0288280.307005x3-2.310680.962056-2.401820.018896R=0.498191R2=0.248194Adj R2=0.192089se = 3.553858n = 73Which of the following statements is correct about the R2?a.The adjusted R2 value is 0.25. This means that the model explains around 25% of the variation in the average number of days absent in the last year. b.The adjusted R2 value is approximately 0.19. This means that the model explains around 19% of the variation in the average number of days absent in the last year. c.The adjusted R2 value is 0.50. This means that the model explains around 50% of the variation in the average number of days absent in the last year. d.None of the above is correct.Question 13 The following graph of a time-series data suggests a _______________ trend.a.linearb.quadraticc.cosined.tangential7 points Question 14 Fitting a linear trend to 36 monthly data points (January 2000 = 1, February 2000 =2, March 2000 = 3, etc.) produced the following tables.CoefficientsStandard Errort Statisticp-valueIntercept222.37967.358243.3014380.002221x9.0090663.174712.837760.00751dfSSMSFp-valueRegression1315319.3315319.38.0528850.007607Residual34133130639156.07Total351646626The projected trend value for January 2003 is ________.a.231.39b.555.71c.339.50d.447.766 points Question 15 Using a three-month moving average, the forecast value for November in the following time series is ____________.July5Aug11Sept13Oct6a.11.60b.10.00c.9.67d.8.606 points Question 16 When forecasting with exponential smoothing, data from previous periods is _________.a.given equal importanceb.given exponentially increasing importancec.ignoredd.given exponentially decreasing importanceQuestion 17A time series with forecast values and error terms is presented in the following table. The mean absolute deviation (MAD) for this forecast is ___________.
G&B consulting Nash Equilibrium Analysis Assignment
InstructionsA local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in ...
G&B consulting Nash Equilibrium Analysis Assignment
InstructionsA local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in the area and recently the two firms have begun talks in regards to a merger. The merger would mean there are more shared resources than either had before individually. There would also be less competition for both companies. Both would be able to operate more efficiently, however it would take a strong commitment from both sides for the merger to be successful. The law firm that has hired you wants to know their optimum strategy in this situation.What to SubmitTo complete this assignment, you must first you download the word document.Your step-by-step breakdown of the problems, including explanations, should be present within the word document provided.
We want to collect the Max. Temperature reading for each day in your home city or a city near you in February and August for a minimum of 3years.
Temperature patterns seen to be changing around the U.S. Winters seem shorter,
summers seem hotter, and major storms seem ...
We want to collect the Max. Temperature reading for each day in your home city or a city near you in February and August for a minimum of 3years.
Temperature patterns seen to be changing around the U.S. Winters seem shorter,
summers seem hotter, and major storms seem more frequent. Let’s collect some data and
look at what’s happening in your area. You can use the Weather Underground web page
at www.wunderground.com to collect historical data for a particular city. The Weather
Underground (www.wunderground.com) was created by a student/professor team at the
University of Michigan and shortly became a public company providing current and
historical weather data for the United States and other countries. At the top of the
Weather Underground home page you will find a box for entering the name of a city,
state or country. Enter your home city to see the current weather conditions there. Scroll
down and select the History & Almanac Table in which you can enter a date to see
statistics for any day from the past thirty years. Below the field where you enter a specific
date you can select Calender View and see all temperatures for a specific months.We want to collect the Max. Temperature reading for each day in your home city or a city
near you in February (for cold temperatures) and August (for hot temperatures) for a
minimum of 3years.
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