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

  1. Enter the data   
  2. Stat-Regression-regression-Fit regression model
  3. ok

MINITAB OUTPUT

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a. SSE=8.700

SSR=62.500

SST=71.200

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b. Coefficient of determination=87.78%

Adjusted valu=83.71%

The fir seems to be good

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c. Steps for sample correlation coefficient

  1. Enter the data
  2. Stat-Basic Statistics-Correlation
  3.   
  4. ok

MINITAB OUTPUT

Sample Correlation coefficient=0.9369

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PLEASE UPVOTE IF YOU LIKE MY ANSWER.


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