construct the formula for a 95% confidence interval for the slope of the regress

Question

construct the formula for a 95% confidence interval for the slope of the regression line.
A. .4865 +-(plus or minus) 2.048(11.78)
B. .4865 +-(plus or minus) 2.048(.2316)
C. .2316 +-(plus or minus) 2.048(.4865)
D. 28.26+-(plus or minus) 2.048(11.78)
E. 28.26+-(plus or minus)2.048(19.96)

The tulkwing is a MINITAB regression analysis for the ninst a scares 30 students in an AP Statistics class. Regression Analysis The regression equation is Test 22 28.3 w 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 11,78 a 13.6% sq(adj) 10.5% Analysis of variance SOURCE DF SS MS F p Regression 1 611.6 611 6 4 41 0.045 28 3082 2 130 Total 29 4493.9 construct the wormula for a oanndence nterval or the slape

Explanation / Answer

here std error 0.2316

and for (30-2 =28) degree of freedom and 95% CI, t=2.048

therefore option B is correct B. .4865 +-(plus or minus) 2.048(.2316)

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