a. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent confidence interval for change in cholesterol level is (197.3, 225.4). This means thati. If one person exercises 460 minutes per week, his/hers change in cholesterol level will be between 197.3 and 225.4 with 95 percent certainty.ii. If several people exercise 460 minutes per week, their average change in cholesterol level will be between 197.3 and 225.4 with 95 percent certainty.b. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent prediction interval for change in cholesterol level is (155.1, 267.6). This means thati. If one person exercises 460 minutes per week, his/hers change in cholesterol level will be between 155.1 and 267.6 with 95 percent certainty.ii. If several people exercise 460 minutes per week, their average change in cholesterol level will be between 155.1 and 267.6 with 95 percent certainty. Physicians have been recommending more exercise for their patients, particularly thosewho are overweight. One benefit of regular exercise appears to be a reduction in choles-terol, a substance associated with heart disease. In order to study the relationship morecarefully, a physician took a random sample of 50 patients who do not exercise. Hemeasured their cholesterol levels. He then started these patients on regular exerciseprograms. After four months, the physician asked each patient how many minutes perweek (on average) he or she exercised. He also measured their cholesterol levels. Theindependent variable is Exercise Time (as in weekly exercise time in minutes). Theresponse variable is Change (as in change in cholesterol level before and after exerciseprogram).300200100-100-200100200300400500Exercise TimeFigure 1: Scatter plot and fitted regression lineCoefficientsStandardizedCoefficientsUnstandardized CoefficientsModelBStd. ErrorBetaSig.1(Constant)-239.77210.130-23.669.000ExerciseTime.981.033.97429.609.000a. Dependent Variable: ChangeFigure 2: Estimated regression coefficientsChange ANOVASum ofSquaresModeldfMean SquareSig.1Regression 642950.535642950.535.0001876.722Residual35201.14548733.357Total678151.68049a. Dependent Variable: Changeb. Predictors: (Constant), ExerciseTimeFigure 3: Analysis of Variance

A 95% confidence interval says that with 95% confidence level, the average value of any sample from…

Answered: a. When weekly exercise time is 460…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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a. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent confidence interval for change in cholesterol level is (197.3, 225.4). This means that

i. If one person exercises 460 minutes per week, his/hers change in cholesterol level will be between 197.3 and 225.4 with 95 percent certainty.

ii. If several people exercise 460 minutes per week, their average change in cholesterol level will be between 197.3 and 225.4 with 95 percent certainty.

b. When weekly exercise time is 460 minutes (approximately 66 minutes per day), the 95 percent prediction interval for change in cholesterol level is (155.1, 267.6). This means that

i. If one person exercises 460 minutes per week, his/hers change in cholesterol level will be between 155.1 and 267.6 with 95 percent certainty.

ii. If several people exercise 460 minutes per week, their average change in cholesterol level will be between 155.1 and 267.6 with 95 percent certainty.

Physicians have been recommending more exercise for their patients, particularly those
who are overweight. One benefit of regular exercise appears to be a reduction in choles-
terol, a substance associated with heart disease. In order to study the relationship more
carefully, a physician took a random sample of 50 patients who do not exercise. He
measured their cholesterol levels. He then started these patients on regular exercise
programs. After four months, the physician asked each patient how many minutes per
week (on average) he or she exercised. He also measured their cholesterol levels. The
independent variable is Exercise Time (as in weekly exercise time in minutes). The
response variable is Change (as in change in cholesterol level before and after exercise
program).
300
200
100
-100
-200
100
200
300
400
500
Exercise Time
Figure 1: Scatter plot and fitted regression line
Coefficients
Standardized
Coefficients
Unstandardized Coefficients
Model
B
Std. Error
Beta
Sig.
1
(Constant)
-239.772
10.130
-23.669
.000
ExerciseTime
.981
.033
.974
29.609
.000
a. Dependent Variable: Change
Figure 2: Estimated regression coefficients
Change

ANOVA
Sum of
Squares
Model
df
Mean Square
Sig.
1
Regression 642950.535
642950.535
.000
1
876.722
Residual
35201.145
48
733.357
Total
678151.680
49
a. Dependent Variable: Change
b. Predictors: (Constant), ExerciseTime
Figure 3: Analysis of Variance

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