Question

15) As part of a study at a large university, data were collected on 224 freshmen computer science 1 (CS) majors in a particular year. The researchers were interested in modeling y, a student's grade point average (GPA) after three semesters, as a function of the following independent variables (recorded at the time the students enrolled in the university): xi-average high school grade in mathematics (HSM) x2 = average high school grade in science (HSS) x3- average high school grade in English (HSE) x4 SAT mathematics score (SATM) x5-SAT verbal score (SATV) A first-order model was fit to data with R2 = 0.211. What is the correct interpretation of R2, the coefficient of determination for the model? A) Approximately 79% of the sample variation in GPAs can be explained by the first-order model. B) We are 79% confident that the model is useful for predicting y. C) Approximately 21% of the sample variation in GPAs can be explained by the first-order model. D) We expect to predict GPA to within approximately 21 of its true value.

looking for an explanation

Answer 1

Coefficient of determination is nothing but the measurement of variation in dependent variable can be explained by by all the the independent variables in a given model.

Option c