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Basic Question 1 of 2

The following model was fitted to a sample of supermarkets to explain profit levels:

Y-hatt = 132.3 + 0.031 X1t + 0.089 X2t + et

where
Y-hatt = profits in thousands of dollars
X1t = food sales in tens of thousands of dollars.
X2t = nonfood sales in tens of thousands of dollar.

For a $30,000 increase in food sales, by how much would the predicted value of the dependent variable change?

User Contributed Comments 2

User Comment
danlan2 in sales in tens of thousands, $30000 is converted to 3 in X_{1t}
cfastudypl thanks danlan2. 0.031*3 = 0.093.
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Tamara Schultz

Tamara Schultz

Learning Outcome Statements

formulate a multiple linear regression model, describe the relation between the dependent variable and several independent variables, and interpret estimated regression coefficients;

CFA® 2025 Level II Curriculum, Volume 1, Module 1.