1. The line in the next figure is the estimated regression line of a regression model with one independent variable, X, and one dependent variable, Y. Suppose that the line goes through point (X,Y)= (1,9) 30 25 20 15 10 5 0 :0 1 2 6 (a) What is the regression model? (b) What is the estimated regression line and what are the estimated values of 30 and 3₁? (c) By how much is Y expected to increase if X increases by one unit? By how much is Y expected to increase if X decreases by 2 units? A

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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1. The line in the next figure is the estimated regression line of a regression
model with one independent variable, X, and one dependent variable, Y.
Suppose that the line goes through point (X,Y)= (1,9)
30
25
20
<<-15
5
0
0
2
(a) What is the regression model?
(b) What is the estimated regression line and what are the estimated
values of Bo and 3₁?
(c) By how much is Y expected to increase if X increases by one unit?
By how much is Y expected to increase if X decreases by 2 units?
Transcribed Image Text:1. The line in the next figure is the estimated regression line of a regression model with one independent variable, X, and one dependent variable, Y. Suppose that the line goes through point (X,Y)= (1,9) 30 25 20 <<-15 5 0 0 2 (a) What is the regression model? (b) What is the estimated regression line and what are the estimated values of Bo and 3₁? (c) By how much is Y expected to increase if X increases by one unit? By how much is Y expected to increase if X decreases by 2 units?
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