FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
Question
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A set of data describes the relationship between the size of annual salary raises and theperformance ratings for employees of a certain company. The least squares regressionequation isy-hat = 1400 + 2000x where y is the raise amount (in dollars) and x is theperformance rating. Which of the following statements must be true?
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For each one-point increase in performance rating, the raise will increase on average by$1400.
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The actual relationship between salary raises and performance rating is linear.
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The residuals for half the observations in the dataset will be positive.
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The correlation between salary raise and performance rating is negative.
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If the mean performance rating is 1.2, then the mean raise is $3800.
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Explanation:
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