An analysis was performed on data relating the number of weeks of experience in

Question

An analysis was performed on data relating the number of weeks of experience in a job involving the wiring of electronic components and the number of components that were rejected during the past week for 12 randomly selected workers. The analysis is as follows:

There is no apparent relationship between experience and rejects produced.

Regression Analysis r² 0.825 n 12 r -0.908 k 1 Std. Error 2.636 Dep. Var. Rejects ANOVA table Source SS df MS F p-value Regression 328.1901 1 328.1901 47.24 4.34E-05 Residual 69.4766 10 6.9477 Total 397.6667 11 Regression output confidence interval variables coefficients std. error t (df=10) p-value 95% lower 95% upper Intercept 35.4648 1.7239 20.573 1.63E-09 31.6238 39.3059 Experience -1.3867 0.2018 -6.873 4.34E-05 -1.8363 -0.9372

Explanation / Answer

An analysis was performed on data relating the number of weeks of experience in a job involving the wiring of electronic components and the number of components that were rejected during the past week for 12 randomly selected workers.

r = -0.908 also slope is -1.3867.

There is negative relationship between experience and rejects produced.

Assume alpha = 5% = 0.05

In the ANOVA table P-value = 4.34E-05 < 0.05

Reject H0 at 5% level of significance.

Population slope is differ than 0.

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