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Chapter 9, Section 1, Exercise 006 Computer output for fitting a simple linear m

ID: 3312921 • Letter: C

Question

Chapter 9, Section 1, Exercise 006 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 86.9-0.0122X Predictor Coef SE Coef T P Constant 86.88 12.46 6.97 0.000 -0.01218 0.01015 -1.20 0.245 Sample slope: p-value: Is the model effective?

Explanation / Answer

here, the sample slope is -0.01218,

now, in testing the slope, the given p value is 0.245

and our null hypothesis is b1=0.

since, p value > 0.05 {level of significance}

we fail to reject the null hypothesis.

i.e., the model is not effective.