how calculations or explanation for each question. a)  Which of the following techniques is used to predict the value of one variable on the basis of other variables? a. Correlation analysis b. Coefficient of correlation c. Covariance d. Regression analysis b) In the least squares regression line, y^=3-2x the predicted value of y equals: a. 1.0 when x = −1.0 b. 2.0 when x = 1.0 c. 2.0 when x = −1.0 d. 1.0 when x = 1.0 c) In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x. b. change in x per unit change in y. c. value of y when x = 0. d. value of x when y = 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Show calculations or explanation for each question.

a)  Which of the following techniques is used to predict the value of one variable on the
basis of other variables?
a. Correlation analysis
b. Coefficient of correlation
c. Covariance
d. Regression analysis

b) In the least squares regression line, y^=3-2x the predicted value of y equals:
a. 1.0 when x = −1.0
b. 2.0 when x = 1.0
c. 2.0 when x = −1.0
d. 1.0 when x = 1.0

c) In the simple linear regression model, the y-intercept represents the:
a. change in y per unit change in x.
b. change in x per unit change in y.
c. value of y when x = 0.
d. value of x when y = 0.

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