Computer output for fitting a simple linear model is given below. State the valu

Question

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 = 85.4 - 0.0133X Predictor Coef SE Coef T P constant 85.42 12.26 6.97 0.000 X -0.01329 0.01108 -1.20 0.245 Sample slope: P -value: Is the model effective?

Explanation / Answer

a) The sample slope can be seen from the coefficient column, we get slope as the coefficient of X which is - 0.01329.

Therefore -0.01329 is the sample slope.

b) The p-value can be clearly seen as : 0.245

Now as the p-value = 0.245 > 0.05 which is the level of significance , therefore the model is not effective

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