A personnel specialist with a large accounting firm is interested in determining the effect of seniority (the number of years with the company) on hourly wages for secretaries. She selects at random 10 secretaries and compares their years with the company (X) and hourly wages (Y):
X Y
0…………………… 12
2…………………… 13
3…………………… 14
6 …………………… 16
5…………………… 15
3 …………………… 14
4…………………… 13
1 …………………… 12
1 …………………… 15
2 …………………… 15
a. Draw a scatter plot of the data.
b. Calculate the regression slope and Y-intercept.
c. Draw the regression line on the scatter plot.
d. Predict the hourly wage of a randomly selected secretary who has been with the company for 4 years.
e. Find the coefficients of determination and non-determination. What do they mean?