Below are given (a) A scatterplot of Y versus X and (b) A plot of residuals versus fitted values after a simple linear regression model was fit to the data. What is the equation of the fitted line? Discuss what is indicated about the relationship between Y and X as it relates to simple linear regression.
Homework Answers
Answer:-
The equation of the fitted line is
Y = -14.64 + 7.431 X
bo = -14.64 , is the intercept term
b1 = 7.431 ,is the slope term also called regression coefficient.
From the scatter plot we can say that there is a strong and positive linear relationship between X and Y .
From the residual plot we observe that data is distributed randomly , so variance is constant.
R - square = 0.919 which is good , hence fitted model is good .
Residual are distributed normally.
,
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