1: A sample of 200 components is selected from the output of a factory that uses three dierent machines to manufacture these components. Each component in the sample is inspected to determine whether or not it is defective. The machine that produced the component is also recorded. The results are as follows: Machine Outcome A B C Total Defective 8 6 12 26 Non-defective 6 7 1 14 Total 14 13 13 40 The manager wishes to determine whether or not there is a relationship between the proportion of defectives and the machine used at 5% significance level , Calculate the statistic value. Q2 A sample of 8 students was selected randomly to examine the association between the number of hours a student spent studying for an exam (X) and the score that a student obtained on that exam (Y). The data are given below x 2 4 5 6 8 10 12 17 y 1 3 7 9 11 14 15 20 1) Draw a scatter plot 2) Calculate the correlation coefficient. 3) Calculate the regression model. 4) Predict Y when X=20