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Exam 13: Simple Linear Regression

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Question 51

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A strong positive correlation means:

A) the points in a scatter diagram lie on an upward sloping line
B) the points in a scatter diagram lie on a downward sloping line
C) r is close to 1
D) r is close to -1

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Question 52

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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. -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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Question 53

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

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:

A strong negative correlation means:

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?

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:

A linear regression:

In the regression model ,a and b are 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%. -What is the value of the test statistic,t,rounded to three decimal places?

The value of :

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:

In the equation ,-17 is the:

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:

The regression model is:

A weak negative 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. -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:

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

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

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: