Math  /  Data & Statistics

QuestionGiven the equation of a regression line is y^=4.5x+7.8\hat{y}=-4.5 x+7.8, what is the best predicted value for yy given x=4.0x=4.0 ? Assume that the variables x and y have a significant correlation. 10.20-10.20 10.20 25.80-25.80 25.80

Studdy Solution
Calculate the predicted value of yy:
y^=4.5×4.0+7.8=18.0+7.8=10.2\hat{y} = -4.5 \times 4.0 + 7.8 = -18.0 + 7.8 = -10.2
The best predicted value for yy when x=4.0x = 4.0 is:
10.20\boxed{-10.20}

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