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Math Lab 3

# Math Lab 3 - Andrew Eskander Math 11L Lab 3 1 The equation...

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Andrew Eskander Math 11L April 18, 2008 Lab 3 1. The equation of the regression line is BMR = 157 + 0.187 * Mass . 50000 40000 30000 20000 10000 0 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 Mass BMR Scatterplot of BMR vs Mass 2. The regression line predicts the BMR of the Eastern Chipmunk to be 173.24 (BMR = 157 + .187(87.4) = 173.34) and the BMR of the Aardvark to be 9139.44 (BMR = 157 + .187(6144) = 9133). These predictions are much more than the observed values (90 and 6144 respectively) of the Eastern Chipmunk and Aardvark. 3. Judging from both plots, I think that my linear regression model is not appropriate for predicting basal metabolic rate from body size because there are several outliers that distort the predictions of the BMR. There are too many points far from the line in the residual and scatterplots that offset the points clustered in proximity to the line in each plot, thus, making my model unevenly spread about the line and overall inappropriate for predictions.

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50000 40000 30000 20000 10000 0 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 Mass BMR Scatterplot of BMR vs Mass 50000 40000 30000 20000 10000 0 5000 2500 0 -2500 -5000 Mass Residual Residuals Versus Mass (response is BMR) 4. Taking logarithms of the variables reduces the skewness, however the histograms of the two new transformed variables are still somewhat skewed to the right, partly because many of the mammals have a low mass.
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