Solution) Thirty data points on Y and X are employed to estimate the parameters in the linear relation Y = a
Question: Thirty data points on Y and X are employed to estimate the parameters in the linear
relation Y = a + bX. The computer output from the regression analysis is
Dependent Variable | Y | R -Squared | F - Ratio | P- value on F | |
Observations | 32 | 0.1911 | 7.0852 | 0.0124 | |
Variable | Parameter Estimate | Standard Error | T-Ratio | P-value | |
Intercept | 76.75 | 34.98 | 2.18 | 0.073 | |
X | -124.20 | 46.66 | -2.66 | 0.0124 |
a. The equation of the sample regression line is: \(\hat{Y}\) = ____________.
b. There are ____ degrees of freedom for the t-test. At the 5% level of significance, the critical t-value for the test is _____________.
c. At the 5% level of significance, \(\hat{a}\) __________ (is, not) significant, and \(\hat{b}\) _____ (is, is not) significant.
d. At the 2% level of significance, the critical t-value for a t-test is _______. At the 2% level of significance, \(\hat{a}\) _____ (is, is not) significant, and \(\hat{b}\) ______ (is, is not) significant.
e. The p-value for \(\hat{b}\) indicates that the exact level of significance is ___ percent, which is the probability of ______ \(\hat{b}\) _ _____________.
f. At the 5% level of significance, the critical value of the F-statistic is _____. The
model as a whole ________(is, is not) significant at the 5% level.
g. If X equals 240, the fitted (or predicted) value of Y is ________________.
h. The percentage of the total variation in Y that is NOT explained by the regression is _______.
Deliverable: Word Document
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