Asked by Mallory Sheets on Jul 28, 2024
Verified
The relationship between two quantities x and y is examined.The relationship appears to be fairly linear.A linear model is considered,and the regression analysis is as follows: Dependent variable: y
R-squared = 87.9%
VARIABLE COEFFICIENT
Intercept 37.74
X -9.97
What does the slope say about the relationship between x and y?
A) For each increase in x of 1,the corresponding average decrease in y is 9.97.
B) For each increase in x of 1,the corresponding average increase in y is 37.74.
C) For each increase in x of 1,the corresponding average decrease in y is 37.74.
D) For each increase in x of 1,the corresponding average increase in y is 9.97.
E) For each increase in x of 1,y decreases by an average of 87.9%.
Linear Model
A type of statistical model that assumes a linear relationship between one or more independent variables and a dependent variable, represented by a straight line in a two-dimensional plane.
Regression Analysis
A statistical technique used to examine the relationship between a dependent variable and one or more independent variables.
- Delineate the interpretation of the slope and the intercept on a regression line, within the context of its data set.
Verified Answer
AI
Azeemah IrenaAug 03, 2024
Final Answer :
A
Explanation :
The slope of the linear model, which is -9.97, indicates that for each increase in x by 1, y decreases on average by 9.97. This is directly interpreted from the coefficient of x in the regression equation.
Learning Objectives
- Delineate the interpretation of the slope and the intercept on a regression line, within the context of its data set.
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