Description
Solve the following system of equations using matrices. Use Gaussian elimination with back substitution or Gauss-Jordan elimination. x + 3y = 0, x + y + z = 1, 3x - y - z = 11
A. {(3, -1, -1)}
B. {(2, -3, -1)}
C. {(2, -2, -4)}
D. {(2, 0, -1)}
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Explanation & Answer
Thank you for the opportunity to help you with your question!
After reducing the matrix, you get the following matrix:
1 0 0 3
0 1 0 -1
0 0 1 -1
which means correct answer is A.
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Log in to Mymath Lab and Complete Algebra Tasks
You will complete all tasks that have a due date of 10/27 in the picsI really need an A on all this work please
Log in to Mymath Lab and Complete Algebra Tasks
You will complete all tasks that have a due date of 10/27 in the picsI really need an A on all this work please
Statistics Treating Depression Recurrence Relative to The Placebo Lab Part 1 Discussion
Learn by Doing
In this activity, you will investigate the first question related to the study described below.
Some ...
Statistics Treating Depression Recurrence Relative to The Placebo Lab Part 1 Discussion
Learn by Doing
In this activity, you will investigate the first question related to the study described below.
Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.
Here are the directions and grading rubric for the Learn by Doing discussion board exercises.
A list of StatCrunch directions is provided at the bottom of this page.
Context
Clinical depression is a recurrent illness requiring treatment and often hospitalization. Nearly 50% of people who have an episode of major depression will have a recurrence within 2-3 years. Being able to prevent the recurrence of depression in people who are at risk for the disease would go a long way to alleviate the pain and suffering of patients.
During the 1980's the federal government, through the National Institutes of Health (NIH), sponsored a large clinical trial to evaluate two drugs for depression. There were 3 treatment groups. Patients received either Imipramine (Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients to one of the 3 treatment groups and followed them for 2-4 years to track any recurrences of depression.
(Prien et al., Archives of General Psychiatry, 1984).
Variables
Hospt: Which hospital the patient was from: Labeled 1, 2, 3, 5 or 6
Treat: 0=Lithium; 1=Imipramine; 2=Placebo
Outcome: 0=Success 1=Failure (recurrence of depression)
Time: Number of weeks until a recurrence (if outcome=1) or until study ended (if outcome=0)
AcuteT: How long the patient was depressed before the start of the current study, measured in days
Age: Age in years
Gender: 1=Female 2=Male
Data
If you have not done so already, download the depression datafile (as always, if a login box opens, just close it and then download the file). Then upload the file in StatCrunch.
Prompt
We will analyze the data to answer the 1st research question: Which of the drugs (if either) was more successful in preventing the recurrence of depression relative to the placebo?
In the previous lab-preparation activity, we determined that we will analyze the data using a two-way table and conditional percentages.
Use StatCrunch to produce a two-way contingency table. (directions)
Copy the table in your StatCrunch output window and paste it in your initial discussion post. (directions)
After you paste the content of the your StatCrunch output window into your discussion post, keep the table titled Contingency table results: and delete the Chi-Square results: table.
Analyze the data in your two-way table by finding appropriate conditional percentages. Write each conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g. 25/40 = 62.5%). Then write a sentence that explains the meaning of the percentage in the context of the research question.
Draw a conclusion. Based on this study, which drug was the most effective in preventing the recurrence of depression? Support your conclusion using conditional percentages.
Grand Canyon University Probability Rules Statements Exercises
Directions: Use the following information to complete the assignment. While APA format is not required for the body of thi ...
Grand Canyon University Probability Rules Statements Exercises
Directions: Use the following information to complete the assignment. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center. There are many misconceptions about probability which may include the following. All events are equally likelyLater events may be affected by or compensate for earlier onesWhen determining probability from statistical data, sample size is irrelevantResults of games of skill are unaffected by the nature of the participants“Lucky/Unlucky” numbers can influence random eventsIn random event involving selection, results are dependent on number rather than rationsIf events are random then the results of a series of independent events are equally likely The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in topic two. I have flipped and unbiased coin three times and got heads, it is more likely to get tails the next time I flip it. The Rovers play Mustangs. The Rovers can win, loose, or draw, so the probability that they win is 1/3. I roll two dice and ad the results. The probability of getting a total of 6 is 1/12 because there are 12 different possibilities and 6 is one of them. Mr. Purple has to have a major operation. 90% of the people who have this operation make a complete recovery. There is a 90% chance that Mr. Purple will make a complete recovery if he has this operation.I flip two coins. The probability of getting heads and tails is 1/3 because I can get Heads and Heads, Heads and Tails, or Tails and Tails. 13 is an unlucky number so you are less likely to win raffles with ticket number 13 than with a different dumber.
NorthWest Arkansas Community College Regression Statistics Exam Practice
QUESTION 1Given the data below, a researcher would like to know whether someone's age group affects their choice of toilet ...
NorthWest Arkansas Community College Regression Statistics Exam Practice
QUESTION 1Given the data below, a researcher would like to know whether someone's age group affects their choice of toilet paper brand. Observed Brand A Brand B Brand C SumTeen 120 130 110 360Mid-Age 77 127 140 344Senior 84 100 98 282 281 357 348 986A complete answer should:Indicate which test she should use.State hypothesesReport if the test was significant and what decision is madeRun any necessary post-hoc analysis (and paste the result in the answer)Provide a conclusion sentence and the statistics in APA format.QUESTION 2A tutor measures her students with a 5 point algorithm, and she would like to know if her 6 students improved this month.Student Day 1 Day 30A 2.4 3.0B 2.5 2.8C 3.0 2.9D 2.9 2.4E 2.7 3.5F 2.1 2.9A complete answer should:Indicate which test she should use.State hypothesesReport if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 3:For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)SUMMARY OUTPUT Regression Statistics Multiple R 0.237673 R Square 0.056489 Adjusted R Square 0.015466 Standard Error 20.51556 Observations 25 ANOVA df SS MS F Significance F Regression 1 579.5726 579.5726 1.377023 0.252618 Residual 23 9680.427 420.8881 Total 24 10260 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%Intercept 63.68956 6.886156 9.248928 3.27E-09 49.44446 77.93465 49.44446 77.93465Absences -1.72595 1.47081 -1.17347 0.252618 -4.76855 1.316657 -4.76855 1.316657QUESTION 4For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format. Observed Values Expected Values Attended Did Not Attend Sum Attended Did Not AttendJoined 10 12 22 Joined 6.695652 15.30435Did Not Join 4 20 24 Did Not Join 7.304348 16.69565 14 32 46 Observed Expected (O-E)2 (O-E)2 /E Joined and Attended 10 6.695652174 10.91871 1.630717 Did Not Join and Did Not Attend 12 15.30434783 10.91871 0.713439 Joined and Attended 4 7.304347826 10.91871 1.494824 Did Not Join and Did Not Attend 20 16.69565217 10.91871 0.653986 X2 4.492965 P Value 0.034035 QUESTION 5A principal wanted to know if the location of testing affected student performance on a statewide standardized test. He collected the following data:Control 60 degrees Classical Music Next to Cafeteria31 53 27 2916 39 36 1811 71 32 1619 39 14 2043 54 40 749 41 60 124 9 47 2011 17 2 4534 13 27 3339 8 5 5360 32 55 2340 29 53 2457 35 27 1859 45 4 4943 42 50 29A complete answer should:Indicate which test should be used.State hypothesesReport if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 6For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result.SUMMARY Groups Count Sum Average Variance Group 1 25 1467 58.68 253.2267 Group 2 25 1525 61 628.75 Group 3 25 1592 63.68 403.2267 Source of Variation SS df MS F P-value F critBetween Groups 7698.107 2 3849.053 8.984695 0.000329 3.123907Within Groups 30844.88 72 428.4011 Total 38542.99 74 QUESTION 7Given the data below, does the number of minutes spent exercises affect the number of glasses of water a person consumes?Glasses of Water Minutes1 501 271 252 672 252 503 803 333 153 763 383 413 224 844 674 694 814 55A complete answer should:Indicate which test she should use.Report if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 8For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)Two-Sample Assuming Unequal Variances Group 1 Group 2Mean 61.90909 49.64Variance 341.5152 472.9067Observations 22 25Hypothesized Mean Difference 0 df 45 t Stat 2.090657 P(T<=t) one-tail 0.021119 t Critical one-tail 1.679427 P(T<=t) two-tail 0.042237 t Critical two-tail 2.014103 QUESTION 9For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)t-Test: Paired Two Sample for Means Group 1 Group 2Mean 67 84.38461538Variance 423.1666667 209.4230769Observations 13 13Pearson Correlation 0.129328052 Hypothesized Mean Difference 0 df 12 t Stat -2.659252971 P(T<=t) one-tail 0.010410066 t Critical one-tail 1.782287556 P(T<=t) two-tail 0.020820131 t Critical two-tail 2.17881283
Population Parameters Confidence Intervals Statistics Question
Thinking of the many variables tracked by hospitals and doctors' offices, confidence intervals could be created for popula ...
Population Parameters Confidence Intervals Statistics Question
Thinking of the many variables tracked by hospitals and doctors' offices, confidence intervals could be created for population parameters calculated from many of them. What variable and parameter might be most helpful in your work to be able to create an interval that captures the true value of the parameter of patients with 95% confidence?300 wors. 2 references.
the number of defective flash drives, statistics homework help
Data set 2 presents a sample of the number of defective flash drives produced by a small manufacturing company over the la ...
the number of defective flash drives, statistics homework help
Data set 2 presents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. The company’s operations manager believes that the number of defects produced by the process is less than seven defective flash drives per week. Use this online calculator (or any statistical package that you are comfortable with) to construct a hypothesis test to verify the operations manager’s claim. Your hypothesis test should include null and alternative hypotheses, a t test statistic value, a p value, a decision, and a conclusion. Submit a Word file that includes the hypothesis test.
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Log in to Mymath Lab and Complete Algebra Tasks
You will complete all tasks that have a due date of 10/27 in the picsI really need an A on all this work please
Log in to Mymath Lab and Complete Algebra Tasks
You will complete all tasks that have a due date of 10/27 in the picsI really need an A on all this work please
Statistics Treating Depression Recurrence Relative to The Placebo Lab Part 1 Discussion
Learn by Doing
In this activity, you will investigate the first question related to the study described below.
Some ...
Statistics Treating Depression Recurrence Relative to The Placebo Lab Part 1 Discussion
Learn by Doing
In this activity, you will investigate the first question related to the study described below.
Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.
Here are the directions and grading rubric for the Learn by Doing discussion board exercises.
A list of StatCrunch directions is provided at the bottom of this page.
Context
Clinical depression is a recurrent illness requiring treatment and often hospitalization. Nearly 50% of people who have an episode of major depression will have a recurrence within 2-3 years. Being able to prevent the recurrence of depression in people who are at risk for the disease would go a long way to alleviate the pain and suffering of patients.
During the 1980's the federal government, through the National Institutes of Health (NIH), sponsored a large clinical trial to evaluate two drugs for depression. There were 3 treatment groups. Patients received either Imipramine (Imip), Lithium (Li), or a Placebo (Pl). Researchers randomly assigned patients to one of the 3 treatment groups and followed them for 2-4 years to track any recurrences of depression.
(Prien et al., Archives of General Psychiatry, 1984).
Variables
Hospt: Which hospital the patient was from: Labeled 1, 2, 3, 5 or 6
Treat: 0=Lithium; 1=Imipramine; 2=Placebo
Outcome: 0=Success 1=Failure (recurrence of depression)
Time: Number of weeks until a recurrence (if outcome=1) or until study ended (if outcome=0)
AcuteT: How long the patient was depressed before the start of the current study, measured in days
Age: Age in years
Gender: 1=Female 2=Male
Data
If you have not done so already, download the depression datafile (as always, if a login box opens, just close it and then download the file). Then upload the file in StatCrunch.
Prompt
We will analyze the data to answer the 1st research question: Which of the drugs (if either) was more successful in preventing the recurrence of depression relative to the placebo?
In the previous lab-preparation activity, we determined that we will analyze the data using a two-way table and conditional percentages.
Use StatCrunch to produce a two-way contingency table. (directions)
Copy the table in your StatCrunch output window and paste it in your initial discussion post. (directions)
After you paste the content of the your StatCrunch output window into your discussion post, keep the table titled Contingency table results: and delete the Chi-Square results: table.
Analyze the data in your two-way table by finding appropriate conditional percentages. Write each conditional percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g. 25/40 = 62.5%). Then write a sentence that explains the meaning of the percentage in the context of the research question.
Draw a conclusion. Based on this study, which drug was the most effective in preventing the recurrence of depression? Support your conclusion using conditional percentages.
Grand Canyon University Probability Rules Statements Exercises
Directions: Use the following information to complete the assignment. While APA format is not required for the body of thi ...
Grand Canyon University Probability Rules Statements Exercises
Directions: Use the following information to complete the assignment. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center. There are many misconceptions about probability which may include the following. All events are equally likelyLater events may be affected by or compensate for earlier onesWhen determining probability from statistical data, sample size is irrelevantResults of games of skill are unaffected by the nature of the participants“Lucky/Unlucky” numbers can influence random eventsIn random event involving selection, results are dependent on number rather than rationsIf events are random then the results of a series of independent events are equally likely The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in topic two. I have flipped and unbiased coin three times and got heads, it is more likely to get tails the next time I flip it. The Rovers play Mustangs. The Rovers can win, loose, or draw, so the probability that they win is 1/3. I roll two dice and ad the results. The probability of getting a total of 6 is 1/12 because there are 12 different possibilities and 6 is one of them. Mr. Purple has to have a major operation. 90% of the people who have this operation make a complete recovery. There is a 90% chance that Mr. Purple will make a complete recovery if he has this operation.I flip two coins. The probability of getting heads and tails is 1/3 because I can get Heads and Heads, Heads and Tails, or Tails and Tails. 13 is an unlucky number so you are less likely to win raffles with ticket number 13 than with a different dumber.
NorthWest Arkansas Community College Regression Statistics Exam Practice
QUESTION 1Given the data below, a researcher would like to know whether someone's age group affects their choice of toilet ...
NorthWest Arkansas Community College Regression Statistics Exam Practice
QUESTION 1Given the data below, a researcher would like to know whether someone's age group affects their choice of toilet paper brand. Observed Brand A Brand B Brand C SumTeen 120 130 110 360Mid-Age 77 127 140 344Senior 84 100 98 282 281 357 348 986A complete answer should:Indicate which test she should use.State hypothesesReport if the test was significant and what decision is madeRun any necessary post-hoc analysis (and paste the result in the answer)Provide a conclusion sentence and the statistics in APA format.QUESTION 2A tutor measures her students with a 5 point algorithm, and she would like to know if her 6 students improved this month.Student Day 1 Day 30A 2.4 3.0B 2.5 2.8C 3.0 2.9D 2.9 2.4E 2.7 3.5F 2.1 2.9A complete answer should:Indicate which test she should use.State hypothesesReport if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 3:For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)SUMMARY OUTPUT Regression Statistics Multiple R 0.237673 R Square 0.056489 Adjusted R Square 0.015466 Standard Error 20.51556 Observations 25 ANOVA df SS MS F Significance F Regression 1 579.5726 579.5726 1.377023 0.252618 Residual 23 9680.427 420.8881 Total 24 10260 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%Intercept 63.68956 6.886156 9.248928 3.27E-09 49.44446 77.93465 49.44446 77.93465Absences -1.72595 1.47081 -1.17347 0.252618 -4.76855 1.316657 -4.76855 1.316657QUESTION 4For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format. Observed Values Expected Values Attended Did Not Attend Sum Attended Did Not AttendJoined 10 12 22 Joined 6.695652 15.30435Did Not Join 4 20 24 Did Not Join 7.304348 16.69565 14 32 46 Observed Expected (O-E)2 (O-E)2 /E Joined and Attended 10 6.695652174 10.91871 1.630717 Did Not Join and Did Not Attend 12 15.30434783 10.91871 0.713439 Joined and Attended 4 7.304347826 10.91871 1.494824 Did Not Join and Did Not Attend 20 16.69565217 10.91871 0.653986 X2 4.492965 P Value 0.034035 QUESTION 5A principal wanted to know if the location of testing affected student performance on a statewide standardized test. He collected the following data:Control 60 degrees Classical Music Next to Cafeteria31 53 27 2916 39 36 1811 71 32 1619 39 14 2043 54 40 749 41 60 124 9 47 2011 17 2 4534 13 27 3339 8 5 5360 32 55 2340 29 53 2457 35 27 1859 45 4 4943 42 50 29A complete answer should:Indicate which test should be used.State hypothesesReport if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 6For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result.SUMMARY Groups Count Sum Average Variance Group 1 25 1467 58.68 253.2267 Group 2 25 1525 61 628.75 Group 3 25 1592 63.68 403.2267 Source of Variation SS df MS F P-value F critBetween Groups 7698.107 2 3849.053 8.984695 0.000329 3.123907Within Groups 30844.88 72 428.4011 Total 38542.99 74 QUESTION 7Given the data below, does the number of minutes spent exercises affect the number of glasses of water a person consumes?Glasses of Water Minutes1 501 271 252 672 252 503 803 333 153 763 383 413 224 844 674 694 814 55A complete answer should:Indicate which test she should use.Report if the test was significant and what decision is madeProvide a conclusion sentence and the statistics in APA format.QUESTION 8For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)Two-Sample Assuming Unequal Variances Group 1 Group 2Mean 61.90909 49.64Variance 341.5152 472.9067Observations 22 25Hypothesized Mean Difference 0 df 45 t Stat 2.090657 P(T<=t) one-tail 0.021119 t Critical one-tail 1.679427 P(T<=t) two-tail 0.042237 t Critical two-tail 2.014103 QUESTION 9For the following output, write a paragraph (3-4 sentences) discussing the result. Your paragraph should indicate:What test was usedWhat the test measuresWhether the test is significantWhat the result/decision was in terms of the variables and if any additional testing is necessary.Report the statistics in APA format.Make a statement of conclusion about what a researcher would learn from this result. (You may create what causes the differences in groups such as: location, worksheets, demographics, etc.)t-Test: Paired Two Sample for Means Group 1 Group 2Mean 67 84.38461538Variance 423.1666667 209.4230769Observations 13 13Pearson Correlation 0.129328052 Hypothesized Mean Difference 0 df 12 t Stat -2.659252971 P(T<=t) one-tail 0.010410066 t Critical one-tail 1.782287556 P(T<=t) two-tail 0.020820131 t Critical two-tail 2.17881283
Population Parameters Confidence Intervals Statistics Question
Thinking of the many variables tracked by hospitals and doctors' offices, confidence intervals could be created for popula ...
Population Parameters Confidence Intervals Statistics Question
Thinking of the many variables tracked by hospitals and doctors' offices, confidence intervals could be created for population parameters calculated from many of them. What variable and parameter might be most helpful in your work to be able to create an interval that captures the true value of the parameter of patients with 95% confidence?300 wors. 2 references.
the number of defective flash drives, statistics homework help
Data set 2 presents a sample of the number of defective flash drives produced by a small manufacturing company over the la ...
the number of defective flash drives, statistics homework help
Data set 2 presents a sample of the number of defective flash drives produced by a small manufacturing company over the last 30 weeks. The company’s operations manager believes that the number of defects produced by the process is less than seven defective flash drives per week. Use this online calculator (or any statistical package that you are comfortable with) to construct a hypothesis test to verify the operations manager’s claim. Your hypothesis test should include null and alternative hypotheses, a t test statistic value, a p value, a decision, and a conclusion. Submit a Word file that includes the hypothesis test.
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