A researcher records data on / adult pairs' heights (in inches) to compare the physical characteristics of brothers and sisters. Brother Sister 71 69 68 64 66 65 67 63 70 65 71 62 66 62 Mean 68.4285 64.2857 SD 2.2253 2.4299 r 0.4050 What would the least-squares regression equation be for predicting the brother's height from the sister's? A. brother's height 0.037 +44.58 * sister's height B. brother's height = 44.58 + 0.371 * sister's height C. brother's height = 20.71 + 0.029 * sister's height D. brother's height = 3.28 - 40.68 * sister's height %3D %3D If the sister's height is the same as the mean (64.2857 inches), what would the brother' predicted height be? A. 68.4285 (the same as the mean as well) B. 62.1234 C. 70.8990 D. None of the above. Which of the following would be correct? A. The pair of means, (68.4285, 64.2857), lies on the linear regression line. B. The effectiveness of the linear regression model is about 16%. C. The effectiveness of the linear regression model is 100%. D. Both A and B.

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A researcher records data on 7 adult pairs' heights (in inches) to compare the physical
characteristics of brothers and sisters.
Brother
Sister
71
69
68
64
6
65
67
63
70
65
71
62
66
62
Mean
68.4285
64.2857
SD
2.2253
2.4299
r=0.4050
What would the least-squares regression equation be for predicting the brother's height
from the sister's?
A. brother's height = 0.037+44.58 * sister's height
B. brother's height = 44.58 + 0.371* sister's height
C. brother's height = 20.71 + 0.029 * sister's height
D. brother's height = 3.28- 40.68 * sister's height
If the sister's height is the same as the mean (64.2857 inches), what would the brother's
predicted height be
A. 68.4285 (the same as the mean as well)
B. 62.1234
C. 70.8990
D. None of the above.
Which of the following would be correct?
A. The pair of means, (68.4285, 64.2857), lies on the linear regression line.
B. The effectiveness of the linear regression model is about 16%,
C. The effectiveness of the linear regression model is 10096.
D. Both A and B.
Transcribed Image Text:A researcher records data on 7 adult pairs' heights (in inches) to compare the physical characteristics of brothers and sisters. Brother Sister 71 69 68 64 6 65 67 63 70 65 71 62 66 62 Mean 68.4285 64.2857 SD 2.2253 2.4299 r=0.4050 What would the least-squares regression equation be for predicting the brother's height from the sister's? A. brother's height = 0.037+44.58 * sister's height B. brother's height = 44.58 + 0.371* sister's height C. brother's height = 20.71 + 0.029 * sister's height D. brother's height = 3.28- 40.68 * sister's height If the sister's height is the same as the mean (64.2857 inches), what would the brother's predicted height be A. 68.4285 (the same as the mean as well) B. 62.1234 C. 70.8990 D. None of the above. Which of the following would be correct? A. The pair of means, (68.4285, 64.2857), lies on the linear regression line. B. The effectiveness of the linear regression model is about 16%, C. The effectiveness of the linear regression model is 10096. D. Both A and B.
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