# Question: MINITAB was used to fit the model y 0

MINITAB was used to fit the model y = β0 + β1 x1 + β2 x2 + ε to n = 20 data points, and the printout (top of page 628) was obtained.

a. What are the sample estimates of β0, β1, and β2?

b. What is the least squares prediction equation?

c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.

d. Test H0: β1 = 0 against Ha: β1 ≠ 0. Use α = .05.

e. Use a 95% confidence interval to estimate β2.

f. Find R2 and R2a and interpret these values.

g. Use the two formulas given in this section to calculate the test statistic for the null hypothesis H0: β1 = β2 = 0.

Compare your results with the test statistic shown on the printout.

h. Find the observed significance level of the test you conducted in part g. Interpret the value.

a. What are the sample estimates of β0, β1, and β2?

b. What is the least squares prediction equation?

c. Find SSE, MSE, and s. Interpret the standard deviation in the context of the problem.

d. Test H0: β1 = 0 against Ha: β1 ≠ 0. Use α = .05.

e. Use a 95% confidence interval to estimate β2.

f. Find R2 and R2a and interpret these values.

g. Use the two formulas given in this section to calculate the test statistic for the null hypothesis H0: β1 = β2 = 0.

Compare your results with the test statistic shown on the printout.

h. Find the observed significance level of the test you conducted in part g. Interpret the value.

## Answer to relevant Questions

Suppose you fit the first-order multiple-regression model y = β0 + β1x1 + β2x2 + ε to n = 25 data points and obtain the prediction equation y = 6.4 + 3.1x1 + .92x2 The estimated standard deviations of the sampling ...Growth of Japanese beetles. In the Journal of Insect Behavior (Nov. 2001), biologists at Eastern Illinois University published the results of their study on Japanese beetles. The biologists collected beetles over a period of ...Predicting runs scored in baseball. Refer to the Chance (Fall 2000) study of runs scored in Major League Baseball games, Exercise. Multiple regression was used to model total number of runs scored (y) of a team during the ...While waiting in a long line for service (e.g., to use an ATM or at the post office), at some point you may decide to leave the line. The Journal of Consumer Research (Nov. 2003) published a study of consumer behavior while ...Do chief executive officers (CEOs) and their top managers always agree on the goals of the company? Goal importance congruence between CEOs and vice presidents (VPs) was studied in the Academy of Management Journal (Feb ...Post your question