What is a numerical prediction from the regression line equation shown in the photo?

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 6PPS
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What is a numerical prediction from the regression line equation shown in the photo?
Simple linear regression results:
Dependent Variable: Height (in.)
Independent Variable: Shoe Size (in.)
Height (in.) = 52.293743 + 1.3679745 Shoe Size (in.)
Sample size: 16
R (correlation coefficient) = 0.72170907
R-sq = 0.52086398
Estimate of error standard deviation: 2.6920127
Parameter estimates:
Intercept 52.293743 3.4200195
Slope
Parameter Estimate Std. Err. AlternativeDF T-Stat P-value
#0 1415.290481<0.0001
+0 14 3.901187 0.0016
1.36797450.35065598
Analysis of variance table for regression model:
Source DF
SS
MS
F-stat P-value
The t
Model
1110.29295110.2929515.21926 0.0016
Error
14101.457057.2469323
Positivel
Total
15
211.75
with Se
0.722.
Plot Sho
Fitted line
Height (in.)
72
in shoe
Sontecne
Iu
70
68
66
TIses,
Close ou
6din. to
shoe. e
1ith
64o
62
60
10
Shoe Size (in.)
Transcribed Image Text:Simple linear regression results: Dependent Variable: Height (in.) Independent Variable: Shoe Size (in.) Height (in.) = 52.293743 + 1.3679745 Shoe Size (in.) Sample size: 16 R (correlation coefficient) = 0.72170907 R-sq = 0.52086398 Estimate of error standard deviation: 2.6920127 Parameter estimates: Intercept 52.293743 3.4200195 Slope Parameter Estimate Std. Err. AlternativeDF T-Stat P-value #0 1415.290481<0.0001 +0 14 3.901187 0.0016 1.36797450.35065598 Analysis of variance table for regression model: Source DF SS MS F-stat P-value The t Model 1110.29295110.2929515.21926 0.0016 Error 14101.457057.2469323 Positivel Total 15 211.75 with Se 0.722. Plot Sho Fitted line Height (in.) 72 in shoe Sontecne Iu 70 68 66 TIses, Close ou 6din. to shoe. e 1ith 64o 62 60 10 Shoe Size (in.)
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