Investigation 8 Gestation and Longevity

Investigation 8 Gestation and Longevity - R-Sq(adj) 45.2%...

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Vanessa Reapor Statistics 252, Section 07 February 10, 2010 Investigation 8: Gestation and Longevity A) 25 20 15 10 5 0 500 400 300 200 100 0 longevity Scatterplot of gestation vs longevity Form- Roughly Linear Direction- Positive Strength- Moderately Strong B) 25 20 15 10 5 0 500 400 300 200 100 0 longevity S 109.507 R-Sq 23.5% R-Sq(adj) 21.4% Fitted Line Plot gestation =  51.30 + 10.65 longevity
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Equation: Predicted Gestation= 51.30 + 10.65 Longevity R 2 = 23.5% The line does not accurately describe the relationship between gestation and longevity. C) 350 300 250 200 150 100 300 200 100 0 -100 Fitted Value Versus Fits (response is gestation) This plot reveals a random scatter. D) 1.4 1.3 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 log(longevity) Scatterplot of log(gestation) vs log(longevity) Yes, this relationship of log(gestation) versus log(longevity) appears to be roughly linear.
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E) 1.4 1.3 1.2 1.1 1.0 0.9 0.8 0.7 0.6 0.5 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 1.2 log(longevity) S 0.267278 R-Sq 46.7%
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Unformatted text preview: R-Sq(adj) 45.2% Fitted Line Plot log(gestation) = 0.9833 + 1.105 log(longevity) Regression Equation: Predicted log(gestation) = .9833 + 1.105 log(longevity) R 2 =46.7% 2.50 2.25 2.00 1.75 1.50 0.50 0.25 0.00-0.25-0.50 Fitted Value Versus Fits (response is log(gestation)) This plot reveals a random scatter. F) Predicted log(gestation) = .9833 + 1.105 log(longevity) Predicted log(gestation) = .9833 + 1.105 log(12 years) Predicted log(gestation) = .9833 + 1.105 (1.079) = 2.176 days or 2 days G) Predicted log(gestation) = .9833 + 1.105 log(longevity) Predicted log(gestation) = .9833 + 1.105 log(75 years) Predicted log(gestation) = .9833 + 1.105 (1.875) = 3.055 days or 3 days This prediction is not reasonable because of extrapolations and the difference of both given years was not equivalent to the slope....
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Investigation 8 Gestation and Longevity - R-Sq(adj) 45.2%...

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