A multiple regression model, R = a + bW + cX + dZ, is estimated by a computer package, which produces the following output:

a. How many degrees of freedom does this regression analysis have?b. What is the critical value of t at the 2 percent level of significance?

c. Test to see if the estimates of a, b, c, and d are statistically significant at the 2 percent significance level. What are the exact levels of significance for each of the parameter estimates?d. How much of the total variation in R is explained by this regression equation? How much of the total variation in R is unexplained by this regression equation?e. What is the critical value of the F-statistic at the 1 percent level of significance? Is the overall regression equation statistically significant at the 1 percent level of significance? What is the exact level of significance for the F-statistic?f. If W equals 10, X equals 5, and Z equals 30, what value do you predict R will take? If W, X, and Z are all equal to 0?

Transcribed Image Text:

DEPENDENT VARIABLE:R R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 34 0.3179 4.660 0.00865 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 12.6 8.34 1.51 0.1413 W 22.0 3.61 6.09 0.0001 X -4.1 1.65 -2.48 0.0188 16.3 4.45 3.66 0.0010