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
(3 pts each)

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 _______.

Price: $2.99
Solution: The solution consists of 3 pages
Deliverable: Word Document

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