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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