1. Suppose that five Math 310 students, whom we'll label Students A, B, C, D, and E, achieve the following scores on the first midterm, second midterm, and final exam: Student | Midterm 1 Midterm 2...

Extracted text: 1. Suppose that five Math 310 students, whom we'll label Students A, B, C, D, and E, achieve the following scores on the first midterm, second midterm, and final exam: Student | Midterm 1 Midterm 2 Final (u) 76 (v) 48 (y) 43 B 92 92 90 C 68 82 64 D 86 68 69 E 54 70 50 (a) (You are strongly encouraged to use technology, such as WolframAlpha, to compute any necessary matrix products and inverses.) Find the function of the form y = Bo + Bịu+ Bzv that best fits these data, using least squares. (b) scores 72 on the first midterm and 58 on the second? (Round to the nearest integer.) What score y on the final exam does your formula predict for a hypothetical Student F who Problem 1 asks you to model the dependence of one number (the final exam score) on two others (the scores on both midterms). You are therefore finding not a line of best least-squares fit, but a plane, as described in section 6.6 of the textbook under the heading "Multiple Regression".