Question 5

The human resource manager of a company that assembles and exports computer microchips wants to know if there is a link between the number of hours spent by assembly workers in training and their productivity on the job. A random sample of 10 assembly workers was selected and their performances evaluated.

Training hours	20	36	20	38	40	33	32	28	40	24
Output	40	70	44	56	60	48	62	54	63	38

(a) Construct a scatter plot of the sample data and comment on the relationship

between hours of training and output. [5]

(b) Calculate a simple regression line, using the method of least squares, to identify

a linear relationship between the hours of training received by assembly workers and their output. [8]

Calculate the correlation coefficient between training hours received and worker output. Interpret its meaning and advise the training manager. [5]

(d) Estimate the average daily output of an assembly worker who has received seventy hours of training. [2]