esearchers used weight in Kilograms (Y) as a dependent variable and Lean Body Weight (X1) and Mean Daily Caloric Intake (X2) as independent variables.                            a. Is the coefficient of Mean Daily Caloric Intake statistically distinguishable from 0? b.  Perform a hypothesis test. c. Write the regression equation based on the results d. What is the predicted value of the weight of an obese girl if her lean body weight is 50.0 and mean daily caloric intake is 2000? e. What assumptions must be made in this experiment? Are they satisfied? f. Calculate the R2 value? Interpret it. g. Would you recommend the model? Why or why not?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Researchers used weight in Kilograms (Y) as a dependent variable and Lean Body Weight (X1) and Mean Daily Caloric Intake (X2) as independent variables.                           

a. Is the coefficient of Mean Daily Caloric Intake statistically distinguishable from 0?

b.  Perform a hypothesis test.

c. Write the regression equation based on the results

d. What is the predicted value of the weight of an obese girl if her lean body weight is 50.0 and mean daily caloric intake is 2000?

e. What assumptions must be made in this experiment? Are they satisfied?

f. Calculate the R2 value? Interpret it.

g. Would you recommend the model? Why or why not?

 

The following data were collected on 15 obese girls:
Weight in
Kilograms
Lean Body
Weight
(X1)
Mean Daily
Caloric Intake
(Y)
(X2)
79.2
54.3
2670
64.0
44.3
820
67.0
47.8
1210
78.4
53.9
2678
66.0
47.5
1205
63.0
43.0
815
65.9
47.1
1200
63.1
44.0
1180
73.2
44.1
1850
66.5
48.3
1260
61.9
43.5
1170
72.5
43.3
1852
101.1
66.4
1790
66.2
47.5
1250
99.9
66.1
1789
Total 1087.9
741.1
22739
Transcribed Image Text:The following data were collected on 15 obese girls: Weight in Kilograms Lean Body Weight (X1) Mean Daily Caloric Intake (Y) (X2) 79.2 54.3 2670 64.0 44.3 820 67.0 47.8 1210 78.4 53.9 2678 66.0 47.5 1205 63.0 43.0 815 65.9 47.1 1200 63.1 44.0 1180 73.2 44.1 1850 66.5 48.3 1260 61.9 43.5 1170 72.5 43.3 1852 101.1 66.4 1790 66.2 47.5 1250 99.9 66.1 1789 Total 1087.9 741.1 22739
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