Exam 13: Simple Linear Regression

Use the following to answer questions : For a data set of 10 values of x and y,the value of = 86,the standard deviation of errors for the regression of y on x is 3.662,and the value of b is 3.00. 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 different from zero.The significance level is 5%. -The 95% confidence interval for the slope,B,of the population regression line is:

Use the following to answer questions : For a sample of 19 values of x and y, 294, 502,and b = 0.27. -The coefficient of determination for the regression of y on x,rounded to three decimal places,is:

In a regression model,the slope represents the:

Given that = 853, = 642,and = 314,what is the value of the correlation coefficient,rounded to three decimal places?

In the regression model ,x is the:

The slope,b,of the regression line:

Given that 875 and 275,the value of b in the regression of y on x,rounded to two decimal places,is:

The model is a:

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. -Suppose we have information on the ages (in years)and the prices of a sample of houses.In the regression of price on age for these data,the value of b will represent:

For a data set of x and y values,the value of = 66 and the standard deviation of errors for the regression of y on x is 4.345.The standard deviation of the sampling distribution of b,rounded to three decimal places,is:

In the equation ,y is the:

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 null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero.The significance level is 1%.What is the critical value of t?

For a regression model,the error sum of squares,denoted by SSE,is equal to the sum of the:

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. -The values of and ,rounded to three decimal places,are:

The value of :

Use the following to answer question : The following table lists the ages (in years)and the prices (in thousands of dollars)by a sample of six houses. -What is the value of the correlation coefficient?

Given that 968 and -915,the value of b in the regression of y on x,rounded to two decimal places,is:

For a data set of x and y values,the value of = 944 and the standard deviation of errors for the regression of y on x is 72.937.The standard deviation of the sampling distribution of b,rounded to three decimal places,is:

For a data set on x and y,the value of is 979, is -1,538,the mean of the x values is 88 ,and the mean of the y values is 55.The value of a in the regression of y on x,rounded to two decimal places,is:

Use the following to answer questions : The table shown below gives seven 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: