Question 5 a) What is the difference between correlation and regression analysis? (2 marks) b) A researcher wanted to know the relationship between age and the number of breakdowns of machines. He collected and analyzed the data. The output of the analysis for age of machines (years) and the number of breakdowns is shown below. Answer the following questions based on the statistical output. Model Summary Model R R Square Adjusted R Std. Error of Square the Estimate 1 950 .903 .887 1.224 a)Predictors: (Constant), Age b. Dependent Variable:Number of breakdowns. Coefficient Unstandardized Model Coefficient Std. Error t p-value B (constant) -1.833 1.117 -1.641 0.152 Age 0.907 0.121 7.482 0.001 i) What is the value of the coefficient of correlation of coefficient and explain this value in the relation to the problem? (2 marks) i) What are the values of Y-intercept, a and the slope, b? Write the regression equation for this problem from the output? (2 marks) iii) Interpret the meaning of the Y-intercept, a for this problem. (2 marks) iv) Interpret the meaning of the slope b, for this problem. (2 marks) v) Predict the NUMBER OF BREAKDOWNS if the AGE is 7 years. (2 marks) c) What is the function of ANOVA? (1 mark) d) Considering an experiment with the five groups, with six values in each. For the ANOVA summary table shown below, answer the following questions. Source Sum of Square Degree of Freedom Mean Square F Between 310 2 Within 543 Total i) Rewrite and complete the entries in the ANOVA table. (5 marks) ii) Using a = 0.05, what conclusions can be made concerning the population means? (2 marks)