Source DF SEQ SS

X1 1 401.42

X2 1 0.12

X3 1 20.67

Using the MINITAB solution, answer the following questions for the population regression model

a) Write the estimated regression equation.

b) Write the values of , , , and explain the meaning of these estimated regression coefficients.

c) Write the values of the standard deviation of the coefficients of , , ,

.

d) What are the values of the variance and standard deviations of errors, the coefficient of determination, the adjusted coefficient of determination, SST, SSR, SSE, MSR, and MSE?

e) What is the predicted value of y for , and ?

f) Construct a 95% confidence interval for the coefficient of in the population regression model.

g) Make a 90% confidence interval for the coefficient of in the population regression model.

h) Determine a 99% confidence interval for , in the population regression model.

5. In a study of revenue generated by national lotteries, the following regression equation was fitted to a data from 26 countries with lotteries:

where

dollars of net revenue per capita per year generated by lottery;

mean per capita personal income of the country

number of hotel, motel, resort rooms per thousand of people

spendable revenue per capita per year generated by legalized gambling

The numbers in parentheses below the coefficient estimates are the corresponding estimated standard errors.

a) Interpret the estimated coefficient on , and .

b) Find and interpret a 90% confidence interval for the coefficient on , in the population regression.

c) Find and interpret a 99% confidence interval for the coefficient on , in the population regression.

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