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

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

a. Develop an estimated regression equation for the data of the form y = b0 + b1x
b. Using the results from part (a), test for a significant relationship between x and y use α = 0.05.
c. Develop a scatter diagram for the data. Does the scatter diagram suggest an estimated regression equation of the form b0 + b1x + b2x2? Explain.
d. Develop an estimated regression equation for the data of the form b0 + b1x + b2x2 .
e. Refer to part (d). Is the relationship between x, x2, and y significant? Use α = 0.05.
f. Predict the value of y when x = 25.