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Numbers (in thousands) of forest fires over the year and the number (in hundred

ID: 3252820 • Letter: N

Question

Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 8 recent years are shown. The regression line equation is y’ = 34.921 + 0.489x. The correlation coefficient is r = 0.999. Compute the standard error of the estimate, if appropriate. Assume that a = 0.05 and use a graphing calculator.

Number of fires x 62 69 72 84 45 47 58

Number of acres burned y 65 69 70 76 57 58 63

Compute the standard error of the estimate. Round answer to three decimal places.

Explanation / Answer

y = 65 69 70 76 57 58 63

y' = 65.2390 68.6620 70.1290 75.9970 56.9260 57.9040 63.2830

calculating we get standard error of the estimate

= 0.20099609

=0.201