Exam 13: Simple Linear Regression
Exam 1: Introduction50 Questions
Exam 2: Organizing and Graphing Data93 Questions
Exam 3: Numerical Descriptive Measures92 Questions
Exam 4: Probability75 Questions
Exam 5: Discrete Random Variables and Their Probability Distribution77 Questions
Exam 6: Continuous Random Variables and the Normal Distribution74 Questions
Exam 7: Sampling Distributions76 Questions
Exam 8: Estimation of the Mean and Proportion60 Questions
Exam 9: Hypothesis Tests About the Mean and Proportion93 Questions
Exam 10: Estimation and Hypothesis Testing: Two Populations45 Questions
Exam 11: Chi-Square Tests98 Questions
Exam 12: Analysis of Variance62 Questions
Exam 13: Simple Linear Regression105 Questions
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The random error for the sample regression model,denoted by e,is equal to the:
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Correct Answer:
C
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The table shown below gives six pairs of x and y values.
-For the regression of y on x,the values of a and b,rounded to two decimal places,are:

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Correct Answer:
Part A: a = -1.42 Part B: b = 0.69
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The following table lists the ages (in years)and the prices (in thousands of dollars)by a sample of six houses.
-The standard deviation of errors for the regression of y on x,rounded to three decimal places,is:

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For a sample of 17 values of x and y,
127,
-99,and b = -0.91.
-The standard deviation of errors for the regression of y on x,rounded to three decimal places,is:


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For a data set of 8 values of x and y,the value of
= 180,the standard deviation of errors for the regression of y on x is 9.237,and the value of b is -6.28.
For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 1%.
-What is the value of the test statistic,t,rounded to three decimal places?

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The regression model assumes that the spread of points around the regression line is:
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Use the following to answer questions :
For a data set of 8 values of x and y,the value of
= 180,the standard deviation of errors for the regression of y on x is 9.237,and the value of b is -6.28.
For the purpose of running a hypothesis test,the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is less than zero.The significance level is 1%.
-The 99% confidence interval for the slope,B,of the population regression line is:

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In a regression model,the random error term is included to capture the effects of the:
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For a sample of 19 values of x and y,
294,
502,and b = 0.27.
-The standard deviation of errors for the regression of y on x,rounded to three decimal places,is:


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The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families.
-The coefficient of determination for the regression of y on x,rounded to three decimal places,is:

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The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families.
-The 99% confidence interval for the slope,B,of the population regression line is:

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For a sample of 17 values of x and y,
127,
-99,and b = -0.91.
-The coefficient of determination for the regression of y on x,rounded to three decimal places,is:


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For a sample of 22 values of x and y,
746,
254,and b = 1.36.
-The standard deviation of errors for the regression of y on x,rounded to three decimal places,is:


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The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families.
-Suppose we have information on the monthly incomes and the monthly rents paid by a sample of families.In the regression of monthly rent paid on the monthly income for these data,the value of a will represent:

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The following table lists the monthly incomes (in hundreds of dollars)and the monthly rents paid (in hundreds of dollars)by a sample of six families.
-The values of
and
,rounded to three decimal places,are:



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