4. The contingency table below illustrates the information obtained by a Statistician from a Metal Processing Plant. (a)

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4 The Contingency Table Below Illustrates The Information Obtained By A Statistician From A Metal Processing Plant A 1 (63.42 KiB) Viewed 32 times

4. The contingency table below illustrates the information obtained by a Statistician from a Metal Processing Plant. (a) Identify two main variables involved in this analysis (b) Why is Chi-square a suitable statistical test for establishing the relationship between the two variables identified in (a)? (c) State the null and alternative hypotheses regarding the independence of the two identified variables (d) Perform the Chi-square test of independence/association to establish the relationship between the two identified variables (e) What conclusions can you make about the two identified variables? (f) Determine the p-value associated with the test in (d) 5. A state official was investigating the relationship between salary (x) and the number of absences (y) for state employees. The variable y in the following table represents the average number of absences der vear for emblovees at that salarv. 15​ (a) Draw a scatter diagram. Does a linear relationship between x and y seem appropriate? (b) Estimate the simple linear regression line. Interpret the parameters in the model. 2 (c) Estimate the average number of absences for employees earning $29,000. (d) At 5% level of significance would you conclude that there is a linear relationship between x and y ? (e) Construct a 95\% confidence interval for the slope parameter β. (f) Find the coefficient of determination and interpret the value. (a) Find the product - moment correlation coefficient.