Done and the number of standard error thanks Numbers (in thousands) of forest fi

Question

Done and the number of standard error thanks 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 isy38.107+ 0.485. The correlation coefficient is , 1.000. Compute the standard error of the estimate, if appropriate. Assume that = 0.10 and use a graphing calculator. 7 Number of fires x Number of acres burned y 73 79 66 60 6 Source: National Interagency Fire Center. 72 84 58 45 47 57 62 66 68 Part I out of 2 The standard error of the estimate (select) be caleulated.

Explanation / Answer

We can't direct find standard error of the estimate using graphing calculator.

We calculate standard error by using following formula.

SE = s/sqrt(n)

where s is sample standard deviation of the data

n is number of observations.

We got direct value of standard error in MINITAB.

Steps :

STAT --> Regression --> Regression --> response : y --> predictors : x --> results : second option --> ok

Output is :

Regression Analysis: y versus x

The regression equation is
y = 38.1 + 0.485 x

Predictor Coef SE Coef T P
Constant 38.1067 0.3553 107.24 0.000
x 0.485302 0.005729 84.71 0.000

S = 0.192353 R-Sq = 99.9% R-Sq(adj) = 99.9%

The standard error is 0.005729

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