Tem Rousos, president of Rousos Ford, believes there is a relationship between t
ID: 3155253 • Letter: T
Question
Tem Rousos, president of Rousos Ford, believes there is a relationship between the number of new cars sold and the number of sales people on duty. To investigate he selects a sample of eight weeks and determines the number of new cars sold and the number of sales people on duty for that week.
Week
Sales Staff
Cars Sold
1
5
53
2
5
47
3
7
48
4
4
50
5
10
58
6
12
62
7
3
45
8
11
60
a)What are the dependent and independent variables?
b)Determine the coefficient of correlation.
c)What is the coefficient of determination?
d)Derive the regression equation (that is Y = ____ + or - ____X)
Week
Sales Staff
Cars Sold
1
5
53
2
5
47
3
7
48
4
4
50
5
10
58
6
12
62
7
3
45
8
11
60
Explanation / Answer
a)What are the dependent and independent variables?
Dependent variable (Y): number of cars sold
Independent variable (x): number of sales staff
*******************************
b)Determine the coefficient of correlation.
Using technology, we get the correlation,
r = 0.912088973 [ANSWER]
****************************
c)
Thus, the coefficient of determination is
r^2 = 0.831906294 [ANSWER]
****************************
d)
Also, using technology, we get
slope = 1.702865762
intercept = 40.74208145
Thus, the regression line is
y^ = 40.74208145 + 1.702865762x [ANSWER]
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