Question

1. A data analyst unit at a major state university is tasked with predicting the performance of graduate students using metrics generally available during the application process. They decide to model student success based on two predictors: GRE scores, undergraduate GPA. Write out the regression equation including main effects and interaction terms, given the following coefficients. Where possible, use variable names!

Intercept=25.17

βGRE=.0024 $QFuc4FcjqBJBgAAAABJRU5ErkJggg==$

βGPA=5.61

βGRE*GPA=.0006

1. Regression equation:

2. Given the regression equation, what would you predict the graduate performance score to be for a student with an incoming GRE score of 650 and a GPA of 3.15?

3. What does a predicted graduate performance score of 25.17 represent? Is this a meaningful value?

Answer 1

Answer:

Given the

The following coefficients

Intercept = 25.17

$\beta$ GRE = 0.0024

$\beta$ GPA = 5.61

$\beta$ GRE * $\beta$ GPA = 0.0006

A data analyst unit at a major state university is tasked with predicting the performance of graduate students using mehics generally available during the application process. model student success based on two They decide to predictors: GRE Scoresundevyaduale PA. ion equation is - Yi = Bot Bare tn + Bapp X qi t B GREXGli iritti (1) Ei is enor such that Erid N(0.1) where . Xi and Yz are regression (Independent variable) and y is response variable C dependent) y = performance of graduate student X? GRE Scores Y = undergraduate GPA .9o 25.17+0.0024X1+ 5.61%21+0.0006X9Y2 (2)

student with an incoming GRE Score 650 GPA of score 3.15 when X=650 X = 3.15 graduate perlormance score 3.15 y = 25.17+0.0024 4650 +5.61 * 3.15 +0006 * 650 = 26.73 +176715 + 12.285 ŷ = 45.63 ģ=as: 17 © It is represent the performance of graduate student when y, co and Y₂ = 0 ie when GRE score to and Cindergraduate CPA = 0 But when wridergraduate GPA =o, then a student would not be able to get the admission in graduation.

So, practically CPA would not take the value 2070 (ie X₂70) predicted graduate perler mance will be greater than as.17 C because yz >). is ģ=85.17 is not a meaning ful value.