Class Size, x Score, y x2 ye ху 15 85 17 86 18 84 20 82 21 80 24 78 26 75 29 71 10 92 12 88 30 68

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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A district wishes to study the relationship between class size (x), and achievement test scores (y). A
sample of 15 classrooms from the school district is given in the table below.
Class Size, x
Score, y
x²
y2
ху
15
85
17
86
18
84
20
82
21
80
24
78
26
75
29
71
10
92
12
88
30
68
25
76
16
88
14
89
19
82
Transcribed Image Text:A district wishes to study the relationship between class size (x), and achievement test scores (y). A sample of 15 classrooms from the school district is given in the table below. Class Size, x Score, y x² y2 ху 15 85 17 86 18 84 20 82 21 80 24 78 26 75 29 71 10 92 12 88 30 68 25 76 16 88 14 89 19 82
g) Find the regression equation.
m =
b =
Equation:
h) Predict the achievement score when class size is 14.
i) Interpret r2 in context of this problem
j) Interpret the slope "m" in context of this problem.
Transcribed Image Text:g) Find the regression equation. m = b = Equation: h) Predict the achievement score when class size is 14. i) Interpret r2 in context of this problem j) Interpret the slope "m" in context of this problem.
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