Consider the following sample regression equation yˆy^ = 150 – 20x, where y is the demand for Product A (in 1,000s) and x is the price of the product (in $). The slope coefficient indicates that if ________.
Multiple Choice
the price of Product A increases by $1, then we predict the demand to decrease 20
the price of Product A increases by $1, then we predict the demand to decrease by 20,000
the price of Product A increases by $1, then we predict the demand to increase by 20,000
the price of Product A increases by $1, then we predict the demand to increase by 20
Solution:
Correct Option is
the price of Product A increases by $1, then we predict the demand to decrease by 20,000
Explanation:
Given equation is
y^ = 150 – 20x
Slope is -20
Negative slope indicates that as one variable increases , other variable decreases.
Dependent variable is given in 1,000s
So , as independent variable changes by 1 unit , the dependent variable changes by 20 * 1000 = 20000 units.
So , correct answer is
the price of Product A increases by $1, then we predict the demand to decrease by 20,000
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