Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 6 recent years are shown. The regression line equation is =y′+−27.67200.99464x. The correlation coefficient is =r0.769. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05. The standard error of the estimate should not be calculated.  Or The standard error of the estimate should be calculated. Sest= Number of fires  x 47 84 62 57 45 72 Number of acres burned  y 26 51 15 30 15 62

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Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 6 recent years are shown. The regression line equation is =y′+−27.67200.99464x. The correlation coefficient is =r0.769. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05.

The standard error of the estimate should not be calculated.  Or The standard error of the estimate should be calculated.

Sest=

Number of fires 
x
47
84
62
57
45
72
Number of acres burned 
y
26
51
15
30
15
62
Expert Solution
Step 1: Description of Standard error of estimate:

The standard error of the estimate be a method to measure the accuracy of the predictions of a  regression model.

 Standard error of estimate =√[Σ(y – ŷ)2/n]

Where y= observed value

    ŷ = Predicted value, n= Total number of observations. 

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