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 Upper Y equals 91.5 minus 8.97 Upper X

X

Sample slope: P- value:... Is the model effective? yes or no

  

-8.9652

...

1.0461

-8.57

0

Predictor Coef SE Coef T P Constant 91.503 4.642 19.71 0

X

Sample slope: P- value:... Is the model effective? yes or no

  

-8.9652

...

1.0461

-8.57

0

Explanation / Answer

From the given output, the value of the sample slope for the given model is -8.97. Since p-value = 0 is less than 0.05, reject null hypothesis that slope is zero. We can conclude population slope is different from 0.

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