The manager of a company that assembles and exports a particular type of 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 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2. Table 2: Shows the time spend by workers during training and their productivity on job Training hours (x) 20 36 20 38 40 33 32 Output (y) 40 70 44 56 60 48 62 (i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output. (ii) Estimate 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). (iii) Interpret, in context, the gradient/slope of the regression line.
The manager of a company that assembles and exports a particular type of 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 7 assembly workers was selected and their performances evaluated. The summary of the obtained data is listed in Table 2.
Table 2: Shows the time spend by workers during training and their productivity on job
Training hours (x) 20 36 20 38 40 33 32
Output (y) 40 70 44 56 60 48 62
(i) Construct a scatter plot of the sample data and comment on the relationship between hours of training and output.
(ii) Estimate 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).
(iii) Interpret, in context, the gradient/slope of the regression line.
(iv) Estimated the output at 20 hours training time.
(v) Interpret the positive difference between the observed output and the estimated output at 20 hours of training.
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