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A training company wants to know if there is a link between the hours spent in training by a particular category of employee and their productivity (units produced per day) - NSC Mathematics - Question 1 - 2017 - Paper 2
Question 1
A training company wants to know if there is a link between the hours spent in training by a particular category of employee and their productivity (units produced p... show full transcript
Worked Solution & Example Answer:A training company wants to know if there is a link between the hours spent in training by a particular category of employee and their productivity (units produced per day) - NSC Mathematics - Question 1 - 2017 - Paper 2
Step 1
1.1 Draw a scatter plot of the data on the grid provided in the ANSWER BOOK.
Answer
To create a scatter plot, plot the hours in training on the x-axis and productivity units produced per day on the y-axis, using the given data points for each employee. Ensure that each point is correctly placed according to the training hours and corresponding productivity.
Step 2
Step 3
1.3 Draw the least squares regression line on the scatter plot drawn in QUESTION 1.1.
Answer
Plot the least squares regression line using the equation derived. The line should ideally pass through the points calculated from the regression equation to visually represent the trend of productivity based on training hours.
Step 4
1.4 Use the least squares regression line to predict the productivity (units produced per day), if a particular category of employee spent 25 hours in training.
Answer
Substituting 25 into the regression equation:
y = 29.22 + 0.89(25)
y = 29.22 + 22.25 = 51.47
Therefore, the predicted productivity for 25 training hours is approximately 51.47 units per day.
Step 5
Step 6
1.6 Comment on the strength of relationship between the hours spent in training and the number of units produced per day.
Answer
There is a moderately strong positive correlation between the hours spent in training and productivity, indicating that as training hours increase, productivity tends to increase as well. However, there are variations that suggest other factors may also influence productivity.