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Exam 13: Simple Linear Regression

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Question 51

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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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Question 52

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Use the following to answer questions : 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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Question 53

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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:

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

A strong positive correlation means:

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. -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?

One way to measure the quality of the regression model is to inspect the value of the:

In the regression model ,a and b are the:

In the equation ,-17 is the:

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:

A strong negative correlation means:

A weak negative correlation means:

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%. -What is the value of the test statistic,t,rounded to three decimal places?

The value of :

An assumption of the regression model is that the distribution of errors is

Use the following to answer questions : 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?

The regression model is:

A linear regression:

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:

Use the following to answer questions : 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: