A statistics teacher wants to determine whether there is a linear relationship between high school students' heights, in inches (in), and the lengths of their feet, in centimeters (cm). The teacher obtains height and foot-length measurements for a random sample of 23 students at the high school and generates the following graph and computer output. 35 30 25 20 60 62 64 66 68 70 72 74 76 Height (in) Estimate Std Error Ratio Prob> Term Intercept -13.867 9.410 -1474 0.1554 Height 0.583 0.138 4.208 0.0004 Provided that the assumptions for regression inference are satisfied, which of the following provides a 95% confidence interval estimate of the slope of the population regression line for predicting foot length from height ? Foot Length (cm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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A statistics teacher wants to determine whether there is a linear relationship between high school students' heights, in inches (in), and the lengths of their
feet, in centimeters (cm). The teacher obtains height and foot-length measurements for a random sample of 23 students at the high school and generates
the following graph and computer output.
35
30
25
20
60
62
64
66
68
70
72
74
76
Height (in)
Term
Estimate
Std Error
t Ratlo
Prob>
Intercept
-13.867
9.410
-1474
0.1554
Height
0.583
0,138
4.208
0.0004
Provided that the assumptions for regression inference are satisfied, which of the following provides a 95% confidence interval estimate of the slope of
the population regression line for predicting foot length from height ?
Foot Length (cm)
Transcribed Image Text:A statistics teacher wants to determine whether there is a linear relationship between high school students' heights, in inches (in), and the lengths of their feet, in centimeters (cm). The teacher obtains height and foot-length measurements for a random sample of 23 students at the high school and generates the following graph and computer output. 35 30 25 20 60 62 64 66 68 70 72 74 76 Height (in) Term Estimate Std Error t Ratlo Prob> Intercept -13.867 9.410 -1474 0.1554 Height 0.583 0,138 4.208 0.0004 Provided that the assumptions for regression inference are satisfied, which of the following provides a 95% confidence interval estimate of the slope of the population regression line for predicting foot length from height ? Foot Length (cm)
Da)
0.138
O b) 0.583 + (2.080)(0.138)
0.583 4.208 x
V23
0.138
0.138
0.583 +2.074 x
0.583 1.960x
23
23
O e) 0.583 + (1.717)(0.138)
Transcribed Image Text:Da) 0.138 O b) 0.583 + (2.080)(0.138) 0.583 4.208 x V23 0.138 0.138 0.583 +2.074 x 0.583 1.960x 23 23 O e) 0.583 + (1.717)(0.138)
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