what\'s the critical t-value you\'d use to construct a 95% confidence interval f

Question

what's the critical t-value you'd use to construct a 95% confidence interval for the slope of the regression line?
A. 2.10
B. 1.42
C. 4.41
D. 1.96
E. 2.048

The following is a MINITAB regression analysis for the tra scores of 30 students in an AP Statistics ciass Regression Analysis The regression equation is Test 2 28.3 0,486Test 1 Predictor Coef Stdev t ratio p Constant 28.26 19.96 1.42 0,168 Test 1 0.4865 0.2316 2.10 0.045 s 11.78 R-sq 13.6% R-sq(adj) 10.5% Analysis of Variance SOURCE DF ss Ms F p Regression 1 611.6 611. 6 4.41 04 S Error 28 3B82.2 138 Total 29 4493.9 What's the crtica t value you'u use to construct B 95% confid pe o the regression line?

Explanation / Answer

Hypothesis Test for slope of regression line will be a two-tailed test.

Now, it is given that total degrees of freedom, df = 29

Thus, critical t-value we would use to construct a 95% confidence interval for the slope of the regression line (Using distribution chart of t-statistic) = 2.048

Thus, answer is E

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