Concept explainers
a)
To explain the relationship using
a)
Answer to Problem 45PT4
The relationship between two variables is strong curvature.
Explanation of Solution
Given:
The relationship between two variables is strong curvature. Therefore, it is not linear relationship. Also, there appears to be one outlier at rightmost point.
b)
To identify which model predicts better.
b)
Answer to Problem 45PT4
Model B.
Explanation of Solution
Given:
The scatter plot and residual plot of Model A shows strong curvature as compare to Model B. Also, the residuals in the residual plot of Model B shows randomly scattered. Hence, Model B gives better prediction.
c)
To predict the seed weight if the seed count is 3700 using model B.
c)
Answer to Problem 45PT4
The predicted seed weight is 19.7766 mg.
Explanation of Solution
Given:
Formula:
The general linear regression equation,
From given model,
Therefore, the model is,
Put count = 3700
Hence, the predicted seed weight is 19.7766 mg.
d)
To interpret the value of r2.
d)
Answer to Problem 45PT4
The 86.3% of the variation in ln(weight) is explained by the linear model.
Explanation of Solution
Given:
The R-square is the percentage of variation in dependent variable explained by the model.
The R-square = 86.3%. Therefore, the 86.3% of the variation in ln(weight) is explained by the linear model.
Chapter 12 Solutions
The Practice of Statistics for AP - 4th Edition
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