Concept explainers
For a linear equation y = b0 + b1x, identify the
- a. independent variable.
- b. dependent variable
- c. slope.
- d. y-intercept.
a.
To identify: The independent variable for a linear equation
Answer to Problem 1RP
The independent variable for a linear equation
Explanation of Solution
Given info:
The linear equation is
Justification:
In case of regression equation the independent variable is that variable whose variation is independent of other variables.
In the regression equation the predictor variable x is an independent variable.
b.
To identify: The dependent variable for a linear equation
Answer to Problem 1RP
The dependent variable for a linear equation
Explanation of Solution
Justification:
In case of regression equation the dependent variable is that response variable which responds to the independent variable.
In the regression equation the response variable y is an dependent variable.
c.
To identify: The slope for a linear equation
Answer to Problem 1RP
The slope for a linear equation
Explanation of Solution
Justification:
In case of regression equation the slope measure the change of dependent variable due to the unit change of independent variable.
In the regression equation, the slope is
d.
To identify: The y-intercept for a linear equation
Answer to Problem 1RP
The y-intercept for a linear equation
Explanation of Solution
Justification:
In case of regression equation the y-intercept implies that the y-value where the line intersect the y-axis.
In the regression equation, the y-intercept is
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Chapter 14 Solutions
Introductory Statistics (10th Edition)
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