The scatter plot shows the relationship between the number of years an employee has worked and the annual salary of that employee. 34000 29000 24000 19000 5 10 15 Years worked The slope of the line is Ex: 0.2 The intercept of the line is The regression equation is Y + X. Annual salary (in dollars)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter3: Straight Lines And Linear Functions
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Interpreting regression parameter estimates
The estimates for the population regression parameters, bo and b1 , can be interpreted as follows:
bo represents the estimated simple linear regression Y-intercept, which is the fitted value of Y when X = 0.
• bị represents the estimated simple linear regression slope, which is the change in the fitted value of Y per unit change in X.
The Y-intercept, bo, has a practical meaning for datasets in which the predictor variable X can take on a value of 0 or values near 0.
The measurement unit of bo is the same as the measurement unit of the response Y variable. The slope, b1, always has a practical
meaning. The measurement unit of b, is the same as the measurement unit of Y per measurement unit of X.
Transcribed Image Text:Interpreting regression parameter estimates The estimates for the population regression parameters, bo and b1 , can be interpreted as follows: bo represents the estimated simple linear regression Y-intercept, which is the fitted value of Y when X = 0. • bị represents the estimated simple linear regression slope, which is the change in the fitted value of Y per unit change in X. The Y-intercept, bo, has a practical meaning for datasets in which the predictor variable X can take on a value of 0 or values near 0. The measurement unit of bo is the same as the measurement unit of the response Y variable. The slope, b1, always has a practical meaning. The measurement unit of b, is the same as the measurement unit of Y per measurement unit of X.
CHALLENGE
3.1.4: Linear regression equation for line of best fit.
АCTIVITY
Jump to level 1
The scatter plot shows the relationship between the number of years an employee has worked and the annual salary
of that employee.
34000
3
29000
24000
19000
10
15
Years worked
The slope of the line is Ex: 0.2
The intercept of the line is
The regression equation is Y
+
X.
4
Check
Next
Feedback?
Annual salary (in dollars)
D- D D• D-
Transcribed Image Text:CHALLENGE 3.1.4: Linear regression equation for line of best fit. АCTIVITY Jump to level 1 The scatter plot shows the relationship between the number of years an employee has worked and the annual salary of that employee. 34000 3 29000 24000 19000 10 15 Years worked The slope of the line is Ex: 0.2 The intercept of the line is The regression equation is Y + X. 4 Check Next Feedback? Annual salary (in dollars) D- D D• D-
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