Statistic Question that associated with R output.. Can someone help to describe

Question

Statistic Question that associated with R output..

Can someone help to describe this R output?

Thank you

(14 marks = 1+1+1+2+2+2+2+3) The researchers in Q6 suspected that active learning would work better for stronger students than it would for weaker students. Assume pretest scores measure student "strength"; strong students earn high pretest scores and weak students earn low pretest scores. The data was analyzed using R. > model.active summary (model.active) Coefficients: Estimate $td. Error t value Pr(>1t|) (Intercept) 15.14142 2.16061 7.008 1.86e-10 *** pre.active 1.02579 0.05733 17.893

Explanation / Answer

1)

Post active = bo + b1* pre active

2)

Post active = 15.14142 + 1.02579* pre active

3)

SE=9.355

The low value of standard error indicates that the predictions are reliable

4)

Ho: beta1 = 0

H1: beta1 =/= 0

5)

With t=7.008, p<0.05, the null hypothesis is rejected at 5% level of significance and conclude that beta1 =/= 0. that is the coefficient of 3 active is significant

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