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Author Question: As part of a study at a large university, data were collected on n = 224 freshmen computer science ... (Read 150 times)

RRMR

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on: Feb 14, 2020

Question 1

True or False.

The value of R2 is only useful when the number of data points is substantially larger than the number of  β parameters in the model.
◦ True
◦ False

Question 2

As part of a study at a large university, data were collected on n = 224 freshmen computer science (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):

      x1 = 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?
◦ We expect to predict GPA to within approximately .21 of its true value.
◦ Approximately 79% of the sample variation in GPAs can be explained by the first-order model.
◦ We are 79% confident that the model is useful for predicting y.
◦ Approximately 21% of the sample variation in GPAs can be explained by the first-order model.
Statistics ¦ McClave, Sincich, Tamarack ¦ 12th Edition
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Marked as best answer by RRMR on Feb 14, 2020

brbarasa

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Reply #1 on: Feb 14, 2020
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RRMR

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Reply 2 on: Feb 14, 2020
Gracias!

sarah_brady415

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Reply 3 on: Yesterday
YES! Correct, THANKS for helping me on my review

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