Math  /  Data & Statistics

QuestionUsing the weights ( (b)(\mathrm{b}) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y^=58.90.00749x\hat{y}=58.9-0.00749 x, where xx represents weight. Complete parts (a) through (d).
Click the icon to view the car data. a. What does the symbol y^\hat{y} represent? A. y^\hat{y} represents the predicted value of highway fuel consumption. B. y^\hat{y} represents the actual value of weight. C. y^\hat{y} represents the predicted value of weight. D. y^\hat{y} represents the actual value of highway fuel consumption.

Studdy Solution
Determine the role of y^\hat{y} in the regression equation. In a regression equation, y^\hat{y} typically represents the predicted value of the dependent variable. Since xx is the weight, y^\hat{y} corresponds to the predicted value of highway fuel consumption.
The correct interpretation of y^\hat{y} is:
A. y^\hat{y} represents the predicted value of highway fuel consumption.

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