Suppose a computerized multiple regression output indicates an adjusted multiple

Question

Suppose a computerized multiple regression output indicates an adjusted multiple coefficient of determination r_a^2 = 0.8856, a standard error of estimates s = 7.6 and the ANOVA test statistic F = 12.37 with associated p-value = 0.049. Which of the following are true? Circle all which are correct. a. The regression model is statistically significant at alpha = 0.05 b. The independent variables are ail statistically significant at alpha = 0.05 c. The estimated multiple linear regression equation is a strong fit d. The typical error in estimation using y is 0.8856 e. The regression model is statistically significant at alpha = 0.01 f. The residuals satisfy the plusminus 2 Rule since r^2 = 0.8856 Use Excel to find the estimated multiple regression equation that relates dependent variable y to the independent variables x_1 and x_2. All figures are in thousands of dollars. Write the estimated multiple linear regression equation here (rounding coefficients to the nearest thousandth).

Explanation / Answer

12. correct ans are:

a.Since p-value<0.05

c. since adj r-sq=.8856

13. Multiple linear regression equation:

Profit = 0.3115 + 1.023*Food_sales + 0.0726*Drink_sales

detailed result using excel add in:

SUMMARY OUTPUT Regression Statistics Multiple R 0.913908 R Square 0.835228 Adjusted R Square 0.788151 Standard Error 0.448459 Observations 10 ANOVA df SS MS F Significance F Regression 2 7.136192 3.568096 17.74153 0.001816 Residual 7 1.407808 0.201115 Total 9 8.544 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 0.311485 0.524583 0.593775 0.571343 -0.92896 1.551928 -0.92896 1.551928 x1 1.023187 0.415153 2.464604 0.043173 0.041507 2.004866 0.041507 2.004866 x2 0.072645 0.3763 0.193052 0.8524 -0.81716 0.962454 -0.81716 0.962454

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.