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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Use the following to answer questions :
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 b will represent:

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


(Short Answer)
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Given that
= 241,
= 326,and
= -71,what is the value of the correlation coefficient,rounded to three decimal places?



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For a data set of 15 values of x and y,the value of
= 313,the standard deviation of errors for the regression of y on x is 8.347,and the value of b is 1.78.
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 greater than zero.The significance level is 5%.
-What is the value of the test statistic,t,rounded to three decimal places?

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The table shown below gives six pairs of x and y values.
-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 ages (in years)and the prices (in thousands of dollars)by a sample of six houses.
-What is the 90% confidence interval for the average price of all 16-year old homes,rounded to the nearest dollar?

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One way to measure the quality of the regression model is to inspect the value of the:
(Multiple Choice)
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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.
-What is the 99% confidence interval for the mean monthly rent of a randomly selected family with a monthly income of $2500,rounded to the nearest penny?

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An assumption of the regression model is that the distribution of errors is
(Multiple Choice)
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Use the following to answer questions :
For a data set of 15 values of x and y,the value of
= 313,the standard deviation of errors for the regression of y on x is 8.347,and the value of b is 1.78.
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 greater than zero.The significance level is 5%.
-The 90% confidence interval for the slope,B,of the population regression line is:

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Use the following to answer questions :
The table shown below gives six pairs of x and y values.
-Using the regression of y on x,the predicted value of y for x = 17,rounded to two decimal places,is:

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Use the following to answer questions :
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 standard deviation of errors for the regression of monthly rent on monthly income,rounded to three decimal places,is:

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