Question

For each of the problems below, complete the following steps:

a) Calculate the regression coefficients (a and b) for each problem, for both X predicting Y, and Y predicting X.

b) Calculate the Standard Error of the Estimate for both X predicting Y, and Y predicting X.

c) Calculate the predicted values for each of the given X and Y values.

1) Standardized test scores are used to measure a student’s current learning and understanding of relevant material. They may also be used to predict future academic success, as is often the case with the Graduate Record Examination, or the GRE, which is mandatory when applying to most graduate level programs. The GRE can be useful, as it tends to be correlated with undergraduate, as well as graduate level GPA. The data below represent the undergraduate GPAs and corresponding GRE scores for students applying to Masters programs. The top score for the GRE is 340.

GRE score: mean = 272.889; S = 72.945

GPA: mean = 3.244; S = 0.662

r = 0.841

Predict the GPA based on the following GRE scores: 300, 210, 195​​​

Predict the GRE score based on the following GPAs: 3.76, 3.4, 2.8

Answer 1