SOLUTION: The following table shows for each of the 9 employees: number of years of service and the
number of defects in the last month of work.
Years of service (x) years 20 18 16 15 12 1
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-> SOLUTION: The following table shows for each of the 9 employees: number of years of service and the
number of defects in the last month of work.
Years of service (x) years 20 18 16 15 12 1
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Question 971910: The following table shows for each of the 9 employees: number of years of service and the
number of defects in the last month of work.
Years of service (x) years 20 18 16 15 12 11 7 5 2
Number of defects (y) units 10 11 15 15 20 20 28 29 38
a. Present the above data in the XY chart.
b. Which variable is the dependent variable and which the independent variable?
c. Calculate the correlation coefficient between x and y. What are your conclusions?
d. Determine the regression equation. Draw a straight line on the chart.
e. Calculate the standard error of the estimates of the structural parameters of the model
f. Perform the t-Student test for the significance of the coefficient of x
g. Based on the results, estimate what is the expected number of defects for an employee
whose length of the service is 8 years.
You can put this solution on YOUR website! dependent variable is y or number of defects
independent variable is x or years of service
r= 0.987 strong correlation.
regression equation is y=1.50x +38.4
t-test is -16.2 highly significant to well under 0.0001
predicted number of defects after 8 years is 26.4
The standard error is 1.60 defects.
