Given a simple linear regression model with the following equation: y = b0 + b1x where y is the dependent variable, x is the independent variable, b0 is the y-intercept, and b1 is the slope. If b0 = -3 and b1 = 2, what is the predicted value of y when x = 4?
Given a simple linear regression model with the following equation: y = b0 + b1x where y is the dependent variable, x is the independent variable, b0 is the y-intercept, and b1 is the slope. If b0 = -3 and b1 = 2, what is the predicted value of y when x = 4?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.4: The Slope-intercept Form Of A Linear Equation
Problem 45WE
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Question
Given a simple linear regression model with the following equation: y = b0 + b1x where y is the dependent variable, x is the independent variable, b0 is the y-intercept, and b1 is the slope. If b0 = -3 and b1 = 2, what is the predicted value of y when x = 4?
Expert Solution
Step 1
The predicted value of y when x = 4 can be calculated as follows:
y = b0 + b1x
y = -3 + 2 * 4 y = 5
So, when x = 4, the predicted value of y is 5.
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