# Question: The following table gives information on GPAs and starting salaries

The following table gives information on GPAs and starting salaries (rounded to the nearest thousand dollars) of seven recent college graduates.

a. With GPA as an independent variable and starting salary as a dependent variable, compute SSxx, SSyy, and SSxy.

b. Find the least squares regression line.

c. Interpret the meaning of the values of a and b calculated in part b.

d. Calculate r and r2 and briefly explain what they mean.

e. Compute the standard deviation of errors.

f. Construct a 95% confidence interval for B.

g. Test at a 1% significance level whether B is different from zero.

h. Test at a 1% significance level whether p is positive.

a. With GPA as an independent variable and starting salary as a dependent variable, compute SSxx, SSyy, and SSxy.

b. Find the least squares regression line.

c. Interpret the meaning of the values of a and b calculated in part b.

d. Calculate r and r2 and briefly explain what they mean.

e. Compute the standard deviation of errors.

f. Construct a 95% confidence interval for B.

g. Test at a 1% significance level whether B is different from zero.

h. Test at a 1% significance level whether p is positive.

**View Solution:**## Answer to relevant Questions

Briefly explain the difference between estimating the mean value of y and predicting a particular value of y using a regression model. Refer to the data on temperature settings and pairs of gloves produced for 8 days given in Exercise 13.80. Construct a 99% confidence interval for µy׀x for x = 77 and a 99% prediction interval for yp for x = 77. In ...The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store and the number of units of that product sold. To ...Refer to Exercise A.8. Suppose the professor obtains a list of all students enrolled at the university from the registrar’s office and then selects 150 students at random from this list using a statistical software package ...A researcher advertised for volunteers to study the relationship between the amount of meat consumed and cholesterol level. In response to this advertisement, 3476 persons volunteered. The researcher collected information on ...Post your question