Question

A simple linear regression equation, Y = a + bX, is estimated by a computer program which produces the following output: DEPENDENT VARIABLE Y R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 25 0.7482 68.351 0.00001 VARIABLE PARAMETER STANDARD ESTIMATE ERROR T - RATIO P - VALUE INTERCEPT 325.24 125.09 2.60 0.0160 X 0.8057 0.2898 2.78 0.0106 a. How many degrees of freedom does this regression analysis have? b. What is the critical value of t at 5 percent level of significance? c. Test to see if the estimates of a and b are statistically signficant. d. Discuss the p-values for the estimates of a and b e. How much of the total variation in Y is explained by this regression equation? How much of the total variation in Y is unexplained by this regression equation? f. What is the critical value of the F-statistic at a 5 percent level of significance? Is the overall regression equation statistically significant? g. If X equals 100, what value do you expect Y will take? If X equals 0?

Answer 1