AP Statistics 2017

(Marvins-Underground-K-12) #1

Test the hypothesis, at the 0.01 level of significance, that there is no straight-line relationship between per
pupil expenditure and teacher salary. Assume that the conditions necessary for inference for linear
regression are present.


solution:

I   .           Let β = the true    slope   of  the regression  line    for predicting  salary  from    per pupil   expenditure.

II  .           We  will    use the t   -test   for the slope   of  the regression  line.   The problem states  that    the
conditions necessary for linear regression are present.
III . The regression equation is
= 12027 + 3.34 PPE

(s = 2281, s (^) b = 0.5536)

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