Question: A simple linear regression equation, Y = a + bX, is estimated by a computer program, which produces the following output: a. How many degrees

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 ONE OBSERVATIONS: 25 0.7482 68.351 0.00001

a. How many degrees of freedom does this regression analysis have?b. What is the critical value of t at the 5 percent level of significance?c. Test to see if the estimates of a and b are statistically significant.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?

DEPENDENT VARIABLE: Y R-SQUARE F-RATIO P-VALUE ONE OBSERVATIONS: 25 0.7482 68.351 0.00001 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 2.60 2.78 325.24 125.09 0.0160 0.8057 0.2898 0.0106

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