The human resource manager of a company that assembles and exports computer microchips wants to know...

 

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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 Output 40 72 80 140 40 76 80 88 112 120 66 64 56 80 96 124 108 126 48 76 (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 (i.e. number of units assembled per day). [10] (c) Calculate the correlation coefficient between training hours received and worker output. Interpret its meaning and advise the training manager. [10] (d) Estimate the average daily output of an assembly worker who has received only twenty-five hours of training. [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 Output 40 72 80 140 40 76 80 88 112 120 66 64 56 80 96 124 108 126 48 76 (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 (i.e. number of units assembled per day). [10] (c) Calculate the correlation coefficient between training hours received and worker output. Interpret its meaning and advise the training manager. [10] (d) Estimate the average daily output of an assembly worker who has received only twenty-five hours of training. [5]