A study is conducted on the number of salesman employed and the number of new cars booked at 8 roadshows. The data is summarized in the table below.
Number of salesmen employed (X) : 6 , 8 , 5 , 3 , 5 , 9 , 4 , 7
Number of new cars booked (Y) : 141, 151, 123, 98, 116, 155, 86, 138
i )Calculate the product moment correlation coefficient and comment on the result. (7 marks)
ii ) What proportion of the variation in the number of new cars booked can be explained by the linear relationship between the number of new cars booked and number of salesman employed ? (2 marks)
iii )Estimate the number of new cars booked if 10 salesman are employed on a roadshow. Comment on the accuracy of the estimate. ( 2 marks)
iv ) Discuss the reliability of the estimation for (5 marks)
1) 2 salesman employed ;
2) 15 salesman employed ;