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 (y) (u) 76 (v) 48 43 B 92 92 90 68 82 64 D 86 68 69 E 54 70 50 (a) Find the function of the form y = Bo + Bịu+Bv that best fits these data, using least squares. (You are strongly encouraged to use technology, such as WolframAlpha, to compute any necessary matrix products and inverses.) (b)4 What score y on the final exam does your formula predict for a hypothetical Student F who scores 72 on the first midterm and 58 on the second? (Round to the nearest integer.)

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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
A
B
92
92
90
C
68
82
64
D
86
68
69
E
54
70
50
Find the function of the form y = Bo+ Biu+B2v that best fits these data, using least squares.
(You are strongly encouraged to use technology, such as WolframAlpha, to compute any necessary
matrix products and inverses.)
(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".
Transcribed Image 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 A B 92 92 90 C 68 82 64 D 86 68 69 E 54 70 50 Find the function of the form y = Bo+ Biu+B2v that best fits these data, using least squares. (You are strongly encouraged to use technology, such as WolframAlpha, to compute any necessary matrix products and inverses.) (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".
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