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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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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