a.  Use the computer regression output to write the equation of the least squares regression line. Be sure to define the variables. b.  Interpret R-squared in the context of the problem. c.  Interpret the slope in the context of the problem.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A, B, C have already been answered. I only need D and E answered, please!
When Alan is walking his dog, he believes that as he increases his speed, his dog’s heart rate will increase.  Since Alan took Statistics at High School and is now a veterinary medicine major at THE Ohio State University, he wants to model this relationship.  Alan records his dog’s heart rate in beats per minute (bpm), while walking at each of 7 different speeds, in miles per hour (mph).  A scatter plot and regression output are shown below (attached in image):

a.  Use the computer regression output to write the equation of the least squares regression line. Be sure to define the variables.

b.  Interpret R-squared in the context of the problem.

c.  Interpret the slope in the context of the problem.

d.  Is there sufficient evidence to conclude that there is a relationship between speed and pulse?  Explain.

e.  Alan wants to provide a 98% confidence interval for the slope parameter in his report to his professor at THE Ohio State University.  Compute the margin of error that Alan should use.  Assume that conditions for inference are satisfied.  

140
130
120
110
100
90
80
70
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5
Speed
Regression Analysis: Pulse Versus Speed
Predictor
Constant
Speed
Coef
63.457
SE Coef
2.387
т
26.58
P
0.000
16.2809
0.8192
19.88
0.000
S = 3.087
R-Sq = 98.7%
R-Sq (adj) = 98.5%
Analysis of Variance
SS
3763.2
Source
Regression
Residual
Total
DF
MS
3763.2
F
396.13
P
1
0.000
5
47.6
3810.9
9.5
Pulse
Transcribed Image Text:140 130 120 110 100 90 80 70 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 Speed Regression Analysis: Pulse Versus Speed Predictor Constant Speed Coef 63.457 SE Coef 2.387 т 26.58 P 0.000 16.2809 0.8192 19.88 0.000 S = 3.087 R-Sq = 98.7% R-Sq (adj) = 98.5% Analysis of Variance SS 3763.2 Source Regression Residual Total DF MS 3763.2 F 396.13 P 1 0.000 5 47.6 3810.9 9.5 Pulse
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