Calculating GPA Statistics

• March 7th 2011, 12:08 PM
jpd750
Calculating GPA Statistics
For all students at Walden University, the prediction equation for y = college GPA (range 0-4.0) and x1 = high school GPA (range 0-4.0) and x2 = college board score (range 200-800) is yhat = 0.11 + 0.29x1 + 0.0030x2. How much would you expect the college GPA to increase for a 0.2 increase in high school GPA, given a fixed college board score of 564?

Anyone? Please show work and answer, I need to understand this better.

Thanks :)
• March 7th 2011, 12:43 PM
TheEmptySet
Quote:

Originally Posted by jpd750
For all students at Walden University, the prediction equation for y = college GPA (range 0-4.0) and x1 = high school GPA (range 0-4.0) and x2 = college board score (range 200-800) is yhat = 0.11 + 0.29x1 + 0.0030x2. How much would you expect the college GPA to increase for a 0.2 increase in high school GPA, given a fixed college board score of 564?

Anyone? Please show work and answer, I need to understand this better.

Thanks :)

$\displaystyle \frac{\partial \hat{y}}{\partial x_1}=0.29 \implies \Delta \hat{y} \approx 0.29 \Delta x_1 \implies \hat{y}=0.29(0.2)=.058$
• March 7th 2011, 02:02 PM
jpd750
How do you calculate the yhat though?