Question

The following data relates to the scores obtained by 9 salesmen of a company in an intelligence test and their weekly sales in thousands of Rs.

Salesmen:
A
B
C
D
E
F
G
H
I
Test score :
50
60
50
60
80
50
80
40
70
Weekly sales :
30
60
40
50
60
30
70
50
60
Obtain the regression equation of sales on test scores of the salesmen and estimate sales if the test score of a salesman is 65.

Answer 1

y = 0.75x + 5 ;

53.75

Explanation:

Giveb the data:

Test score :

50

60

50

60

80

50

80

40

70

Weekly sales :

30

60

40

50

60

30

70

50

60

The linear regression equation model obtained from the online regression equation is :

y = 0.75x + 5 ; where ;

y = weekly sales ; x = test score ; 0.75 = slope / gradient ; 5 = intercept

sales if the test score of a salesman is 65.

y = 0.75x + 5

x = 65

y = 0.75(65) + 5

y = 48.75 + 5

y = 53.75