Assume that the Least Squares regression equation resulting from this data is Sa

Question

Assume that the Least Squares regression equation resulting from this data is Salary = 13.4 + 4*GPA. The Y-intercept for this model is 13.42. How do we interpret this value, if possible. A students with a GPA of 0.0 will make a starting salary of 13.4 thousand dollars. A student with a starting salary of only 13.4 thousand dollars must have a GPA of 0.0 Any student with a GPA of 0.0 must have left school. Therefore, 13.4 thousand dollars is a reasonable estimate for their salary. We really cannot interpret the intercept here since, according to the scatterplot, a GPA of 0.0 is outside the range of our data.

Explanation / Answer

Correct option:

A student with a GPA of 0.0 will make a starting salary of 13.4 thousand dollars.

EXPLANATION:

The leat square regression equation is:

y = mx + c,

where

x = GPA

y = Salary

m = slope = 4

c = y intercept = 13.4

c, the y intercept, is the point where the line crosses the y axis, where x = 0.

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