Chapter 9, Section 1, Exercise 005 Computer output for fitting a simple linear m

Question

Chapter 9, Section 1, Exercise 005 Computer output for fitting a simple linear model is given below.

State the value of the sample slope for the given model. In testing if the slope in the population is different from zero, identify the P value and use it (and a 5%significance level) to make a clear conclusion about the effectiveness of the model.

The regression equation is Y = 91.2 - 7.81X

Predictor Coef SE Coef T P

Constant 91.218 4.628 19.71 0.000

X -7.8074 0.9110 -8.57 0.000

Sample slope

P value

Is the model effective

yes or no

Explanation / Answer

sample slope =-7.81

from above output ; p value for saple slope =0.000

as p value is less then 5% significance level ;   model is effective

hence Yes

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