Use computer software packages, such as Minitab or Excel, to solve this problem.

Consider the following data for two variables, x and y .

x = 25, 27, 29, 33, 38, 43

y = 10, 19, 31, 33, 38, 34

a. Develop an estimated regression equation for the data of the form (to 2 decimals, if necessary). Enter negative value as negative number.

y=-------- + -------- x

b. Using the results from part (a), test for a significiant relationship between x and y ;use alpha=0.05 .

What is the value of the coefficient of determination (to 3 decimals)?

(to 3 decimals)

What is the value of the F test statistic (to 2 decimals)?

What is the p -value?

Using alpha = .05 , what is your conclusion?

c. What is the correct scatter diagram.

Does the scatter diagram suggest an estimated regression equation of the form ? Explain.

d. Develop an estimated regression equation for the data of the form y-hat= Bo+B1x+B2xsquared (to 3 decimals, if necessary). Enter negative value as negative number.

Y-hat= ------- + ------ + ----- x squared

e. Refer to part (d). Is the relationship between x , x square and y significant? Use alpha =.05 .

What is the value of the coefficient of determination (to 3 decimals)?

What is the value of the F test statistic (to 2 decimals)?

What is the p -value?

Using alpha=.05 , what is your conclusion?

f. Predict the value of y when x=25 (to 2 decimals).