The training manager of a company that assembles and exports pool pumps 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 24Output 40 70 44 56 60 48 62 54 63 38Required: a) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (b) Calculate a simple regression line, using the method of least squares, to identify a linear relationship between the hours of training received and their output. (c) Calculate the coefficient of determination between training hours received and worker output. Interpret its meaning and advise the training manager. (d) Estimate the average daily output of an assembly worker who has received only twentyfive hours of training.
The training manager of a company that assembles and exports pool pumps 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
Required:
a) Construct a
hours of training and output.
(b) Calculate a simple regression line, using the method of least squares, to identify a linear
relationship between the hours of training received and their output.
(c) Calculate the coefficient of determination between training hours received and worker
output. Interpret its meaning and advise the training manager.
(d) Estimate the average daily output of an assembly worker who has received only twentyfive hours of training.
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