Question: Suppose we have the following variables: Y: dependent quantitative variable X: independent variable; quantitative variable. Location: independent variable; categorical variable. Values are either North, South,

Suppose we have the following variables:

Y: dependent quantitative variable

X: independent variable; quantitative variable.

Location: independent variable; categorical variable. Values are either North, South, East, West

Suppose we create the multiple linear regression model whose independent variables are X and the dummy variables associated with the variable Location. We receive the following coefficients table in the model output:

Variable Estimate of coefficient p-value
(intercept) 500 Less than 0.0001
X 5 Less than 0.0001
Location North 59 Less than 0.0001
Location East 28 Less than 0.0001
Location West 170 Less than 0.0001

1. Calculate the predicted value of Y in the West when X = 19

2. Calculate the predicted value of Y in Segment A when X = 19

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