What does the slope in a regression equation represent?

3-2 Mid-Chapter Flashcard A

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Mathematics
•
12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).
2.
FLASHCARD QUESTION
Front
In the regression equation y-hat=74 + 0.136x, what does the value 74 represent?
Back
The value 74 represents the y-intercept, which is the predicted value of y when x is 0.
3.
FLASHCARD QUESTION
Front
How do you interpret the slope of 0.136 in the context of the regression equation for plane ticket costs?
Back
The slope of 0.136 indicates that for each additional mile flown, the cost of the plane ticket increases by $0.136.
4.
FLASHCARD QUESTION
Front
What is a regression equation used for?
Back
A regression equation is used to predict the value of a dependent variable based on the value(s) of one or more independent variables.
5.
FLASHCARD QUESTION
Front
What is the dependent variable in the regression equation y-hat=74 + 0.136x?
Back
The dependent variable is the cost of the plane ticket (y-hat).
6.
FLASHCARD QUESTION
Front
What is the independent variable in the regression equation y-hat=74 + 0.136x?
Back
The independent variable is the flight distance (x).
7.
FLASHCARD QUESTION
Front
What does it mean if the slope of a regression line is positive?
Back
A positive slope indicates that as the independent variable increases, the dependent variable also increases.
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