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

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 = 86.5-0.0139x. Predictor Coef SE Coef T P Constant 86.49 2.4 6.97 0.000 -0.01385 0.01154 -1.20 0.245 Sample slope: p-value: Is the model effective?

Explanation / Answer

Sample slope = - 0.01385

p-value = 0.245 > 0.05, this is significant, so model is an effective one at 5% significance level.

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