Note: This question is worth the points equivalent of two questions. Use compute
ID: 3155028 • Letter: N
Question
Note: This question is worth the points equivalent of two questions.
Use computer software to find the multiple regression equation. Can the equation be used for prediction?
A wildlife analyst gathered the data in the table to develop an equation to predict the weights of bears. He used WEIGHT as the dependent variable and CHEST, LENGTH, and SEX as the independent variables. For SEX, he used male=1 and female=2.
Weight
Chest
Length
Sex
344
45.0
67.5
1
416
54.0
72.0
1
220
41.0
70.0
2
360
49.0
68.5
1
332
44.0
73.0
1
140
32.0
63.0
2
436
48.0
72.0
1
132
33.0
61.0
2
356
48.0
64.0
2
150
35.0
59.0
1
202
40.0
63.0
2
365
50.0
70.5
1
A.WEIGHT = 196 + 2.35CHEST + 3.40LENGTH + 25SEX;
Yes, because the R2 is high.
B.WEIGHT = -442.6 + 12.1CHEST + 3.6LENGTH - 23.8SEX;
Yes, because the adjusted R2 is high.
C.WEIGHT = 442.6 + 12.1CHEST + 4.2LENGTH - 21SEX;
Yes, because the P-value is low.
D.WEIGHT = -320 + 10.6CHEST + 7.3LENGTH - 10.7SEX;
Yes, because the P-value is high.
Weight
Chest
Length
Sex
344
45.0
67.5
1
416
54.0
72.0
1
220
41.0
70.0
2
360
49.0
68.5
1
332
44.0
73.0
1
140
32.0
63.0
2
436
48.0
72.0
1
132
33.0
61.0
2
356
48.0
64.0
2
150
35.0
59.0
1
202
40.0
63.0
2
365
50.0
70.5
1
Explanation / Answer
Answer: B
B.WEIGHT = -442.6 + 12.1CHEST + 3.6LENGTH - 23.8SEX;
Yes, because the adjusted R2 is high.
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