The data set for a random sample of 10 soccer player's heights compared to their shoe sizes is summarized in the table. Shoe Size (U.S.) Height (inches) 7.5 63 8 70.5 12 8.5 9 10.5 11 12.5 13 10.5 72 71 69.5 70 75 64 72 68 Part A: What is the equation of the least-squares regression line? Part B: If a soccer player wears a size 10 and is 68 inches tall, what is their residual? Show all mathematical work.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 17HP
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The data set for a random sample of 10 soccer player's heights compared to their shoe sizes is summarized in the table.
Shoe Size (U.S.) Height (inches)
7.5
8
12
8.5
9
10.5
11
12.5
13
10.5
63
70.5
72
71
69.5
70
75
64
72
68
Part A: What is the equation of the least-squares regression line?
Part B: If a soccer player wears a size 10 and is 68 inches tall, what is their residual? Show all mathematical work.
Part C: Interpret the meaning of the residual from part B. (
Transcribed Image Text:The data set for a random sample of 10 soccer player's heights compared to their shoe sizes is summarized in the table. Shoe Size (U.S.) Height (inches) 7.5 8 12 8.5 9 10.5 11 12.5 13 10.5 63 70.5 72 71 69.5 70 75 64 72 68 Part A: What is the equation of the least-squares regression line? Part B: If a soccer player wears a size 10 and is 68 inches tall, what is their residual? Show all mathematical work. Part C: Interpret the meaning of the residual from part B. (
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