Suppose we have a data set with five features, X1 = GPA, X2 = IQ, X3 = Level (1 for College and 0 for High School), X4 = product between GPA and IQ, and X5 = product between GPA and Level. We want to predict student's starting salary after graduation (in thousands of dollars). Suppose we use least squares to fit a linear regression model, and estimate the parameters of the model as follows: \beta 0= 50; \beta 1 = b. Explain the effect of the low values of \ beta 2 and \beta 4 comparing to the high absolute values of \beta 1, \beta 3, and \beta 5. 20; \beta 2 = 0.07; \beta 3 = 35; \beta 4 = 0.01;

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Suppose we have a data set with five features, X1 = GPA, X2 = IQ, X3 = Level (1 for College and 0 for High School),
X4 = product between GPA and IQ, and X5 = product between GPA and Level. We want to predict student's
starting salary after graduation (in thousands of dollars). Suppose we use least squares to fit a linear regression model,
and estimate the parameters of the model as follows: \beta 0 = 50; \beta 1 = b. Explain the effect of the low values of \
beta 2 and \beta 4 comparing to the high absolute values of \beta 1, \beta 3, and \beta 5. 20; \beta 2 = 0.07;
3 35; \beta 4 = 0.01;
\beta
Σ
Q
...
Transcribed Image Text:Suppose we have a data set with five features, X1 = GPA, X2 = IQ, X3 = Level (1 for College and 0 for High School), X4 = product between GPA and IQ, and X5 = product between GPA and Level. We want to predict student's starting salary after graduation (in thousands of dollars). Suppose we use least squares to fit a linear regression model, and estimate the parameters of the model as follows: \beta 0 = 50; \beta 1 = b. Explain the effect of the low values of \ beta 2 and \beta 4 comparing to the high absolute values of \beta 1, \beta 3, and \beta 5. 20; \beta 2 = 0.07; 3 35; \beta 4 = 0.01; \beta Σ Q ...
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