Grades The data set below shows midterm scores from an Introductory Statistics course.

a) Fit a model predicting the second midterm score from the first.

b) Comment on the model you found, including a discussion of the assumptions and conditions for regression.
Is the coefficient for the slope statistically significant?

c) A student comments that because the P-value for the slope is very small, Midterm 2 is very well predicted from Midterm 1. So, he reasons, next term the professor can give just one midterm. What do you think?

First Name Midterm 1 Midterm 2 Homework Timothy 82 30 61 Karen 96 68 72 Verena 57 82 69 Jonathan 89 92 84 Elizabeth 88 86 84 Patrick 93 81 71 Julia 90 83 79 Thomas 83 21 51 Marshall 59 62 58 Justin 89 57 79 Alexandra 83 86 78 Christopher 95 75 77 Justin 81 66 66 Miguel 86 63 74 Brian 81 86 76 Gregory 81 87 Kristina 98 96 Timothy 50 27 222 75 84 20