Question: In an estimated simple regression model, based on 24 observations, the estimated slope parameter is 0.310 and the estimated standard error is 0.082. (a) Test

In an estimated simple regression model, based on 24 observations, the estimated slope parameter is 0.310 and the estimated standard error is 0.082.

(a) Test the hypothesis that the slope is zero against the alternative that it is not, at the 1% level of significance.

(b) Test the hypothesis that the slope is zero against the alternative that it is positive at the 1% level of significance.

(c) Test the hypothesis that the slope is zero against the alternative that it is negative at the 5% level of significance. Draw a sketch showing the rejection region.

(d) Test the hypothesis that the estimated slope is 0.5, against the alternative that it is not, at the 5% level of significance.

(e) Obtain a 99% interval estimate of the slope.

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