Consider a linear regression with a slope of –1.64, the residual mean square is 3.6, the sum of squares for X is 2.5, and the sample size is 16. (a) What is the standard error of the slope? (b) What is the 95% confidence interval of the slope? (c) what is the t-value we obtain when doing a t-test using a hypothesized slope of 0.0?

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Consider a linear regression with a slope of –1.64, the residual mean square
is 3.6, the sum of squares for X is 2.5, and the sample size is 16.
(a) What is the standard error of the slope?
(b) What is the 95% confidence interval of the slope?
(c) what is the t-value we obtain when doing a t-test using a hypothesized slope of 0.0?
(d) Based on that t-test statistic what can you say about the P-value?
Transcribed Image Text:Consider a linear regression with a slope of –1.64, the residual mean square is 3.6, the sum of squares for X is 2.5, and the sample size is 16. (a) What is the standard error of the slope? (b) What is the 95% confidence interval of the slope? (c) what is the t-value we obtain when doing a t-test using a hypothesized slope of 0.0? (d) Based on that t-test statistic what can you say about the P-value?
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