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Use Computer Software to Find the Multiple Regression Equation A) WEIGHT

Question 12

Multiple Choice

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 34445.067.5141654.072.0122041.070.0236049.068.5133244.073.0114032.063.0243648.072.0113233.061.0235648.064.0215035.059.0120240.063.0236550.070.51\begin{array}{|cccc|}\hline \text { WEIGHT } & \text { CHEST } & \text { LENGTH } & \text { SEX } \\\hline 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 \\\hline\end{array}


A) WEIGHT =442.6+12.1= - 442.6 + 12.1 CHEST +3.6+ 3.6 LENGTH 23.8- 23.8 SEX; Yes, because the adjusted R2R ^ { 2 } is high.
B) WEIGHT =196+2.35= 196 + 2.35 CHEST +3.40LENGTH+25SEX+ 3.40 \mathrm { LENGTH } + 25 \mathrm { SEX } ; Yes, because the R2R ^ { 2 } is high.
C) WEIGHT =442.6+12.1= 442.6 + 12.1 CHEST +4.2+ 4.2 LENGTH 21- 21 SEX; Yes, because the PP -value is low.
D) WEIGHT =320+10.6= - 320 + 10.6 CHEST +7.3+ 7.3 LENGTH 10.7- 10.7 SEX; Yes, because the PP -value is high.

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