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# In a particular college math class, students begin the semester taking a pre-test (Pre). At the end of the

semester, students receive a final class percentage (Final). Both scores are recorded as percentages out of 100. It was desired to know if performance on the pre-test was predictive of final class percentage. There were 9 students in the class. The results are below: For all of the parts below, please perform the calculations by hand, and show your work. You may use R to make plots and check your answers.

1. (a) Make a scatterplot of the data. Does it seem like a straight line model is reasonable?
2. (b) Assuming a straight-line model, compute estimates of the intercept (β0) and slope (β1).
3.  Perform a test of

H0 :β1 =0 vs.HA :β1 ̸=0,

a. using a T -test at α = 0.05. Make a conclusion in the context of the problem.

b.  Compute R2 for this regression and interpret it.

c.  If a student scores 80 on the pre-test, what does the model predict their final score will be? Compute the SE of this estimate assuming it is for an individual future test taker. The way to answer this question is ... View the full answer ### Why Join Course Hero?

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