Question
In: Math
Given are five observations for two variables, and . xi1 2 3 4 5 yi4 7...
Given are five observations for two variables, and . xi1 2 3 4 5 yi4 7 6 12 14 The estimated regression equation for these data is . a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? c. Compute the sample correlation coefficient (to 4 decimals).
Solutions
Expert Solution
I have used MINITAB software
Steps
- Enter the data
- Stat-Regression-regression-Fit regression model
- ok
MINITAB OUTPUT
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
a. SSE=8.700
SSR=62.500
SST=71.200
------------------------------------------------------
b. Coefficient of determination=87.78%
Adjusted valu=83.71%
The fir seems to be good
------------------------------------------------------
c. Steps for sample correlation coefficient
- Enter the data
- Stat-Basic Statistics-Correlation
-
- ok
MINITAB OUTPUT
Sample Correlation coefficient=0.9369
--------------------------------------------------------
PLEASE UPVOTE IF YOU LIKE MY ANSWER.
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