1) Sara believes that as she increases her walking speed, her pulse rate will increase. Sara records her pulse rate, in beats per minute (bpm), while walking at each of seven different speeds, in miles per hour (mph). Regression Analysis: Palse Versus Speed Predictor Constant Speed Coef 63.457 16.2809 SE Coef 2.387 0.8192 26.58 19.88 0.000 0.000 S-3.087 R-Sq = 98.7% R-Sa (adi) = 98.5% a) Is there evidence at the 1% level to show a positive linear relationship between walking speed and pulse rate? Assume conditions for inference are satisfied. b) Interpret the p-value in context. c) Construct an interval to support the conclusion to part a. Make sure to briefly explain how it supports the conclusion. d) Interpret the interval.

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1) Sara believes that as she increases her walking speed, her pulse rate will increase. Sara records her pulse rate, in beats
per minute (bpm), while walking at each of seven different speeds, in miles per hour (mph).
Regression Analysis: Pulse Versus Speed
Coef
63.457
SE Coef
2.387
0.8192
Predictor
26.58
19.88
Constant
0.000
Speed
16.2809
0.000
S= 3.087
R-Sq = 98.7%
R-Sq (adi) = 98.5%
a) Is there evidence at the 1% level to show a positive linear relationship between walking speed and pulse rate? Assume
conditions for inference are satisfied.
b) Interpret the p-value in context.
c) Construct an interval to support the conclusion to part a. Make sure to briefly explain how it supports the conclusion.
d) Interpret the interval.
Transcribed Image Text:1) Sara believes that as she increases her walking speed, her pulse rate will increase. Sara records her pulse rate, in beats per minute (bpm), while walking at each of seven different speeds, in miles per hour (mph). Regression Analysis: Pulse Versus Speed Coef 63.457 SE Coef 2.387 0.8192 Predictor 26.58 19.88 Constant 0.000 Speed 16.2809 0.000 S= 3.087 R-Sq = 98.7% R-Sq (adi) = 98.5% a) Is there evidence at the 1% level to show a positive linear relationship between walking speed and pulse rate? Assume conditions for inference are satisfied. b) Interpret the p-value in context. c) Construct an interval to support the conclusion to part a. Make sure to briefly explain how it supports the conclusion. d) Interpret the interval.
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