ne following scores on the first midterm, second midterm, and final exam: Student | Midterm1 Midterm 2 Final (y) 43 (u) 76 (v) 48 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 + Bịu+Bzv that best fits these data, using least squares. a) (You are strongly encouraged to use technology, such as WolframAlpha, to compute any necessary matrix products and inverses.) 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.) roblem 1 asks you to model the dependence of one number (the final exam score) on two others (the scores n both midterms). You are therefore finding not a line of best least-squares fit, but a plane, as described in ection 6.6 of the textbook under the heading “Multiple Regression".

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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
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".
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 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".
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