Example 16.4 The data given in Table 16.4 are used to calculate the correlation coefficient. Tahle 165 shows the worksheet for this purpose. This is followed by the calculation of correlation coefficient Table 16.5 Computation of Correlation Coefficient 5-15 15-25 25-35 35-45 Total Y MV 10 20 30 40 MV dx → -1 1 2 fdy fdy? fáxdy dy I 75-125 100 3(3) 8(0) 2(-2) 3(-6) -1 4(0) 6(0) 2(0) 3(0) 4(-4) 8(-16) 19 -19 19 -17 125-175 150 5(0) 7(0) 4(8) 2(8) 26 175-225 200 1 3(3) 2(4) 11 11 11 225-275 250 10 20 40 6. Total 16 15 14 21 66 12 70 -2 fdx fdx? fdxdy -16 14 42 40 16 14 84 114 -5 Check 3 0. -2 o o o

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Table 16.4
Sales Revenue and Advertising Expenditure
Sales Revenue (Rs Lakh)
Advertising Expenditure (Rs lakh)
Total
5-15
15-25
25-35
35-45
75-125
3
4
8.
19
125-175
8.
6.
7
26
175-225
4
11
225-275
3
2
10
Total
16
15
14
21
66
4 53
Transcribed Image Text:Table 16.4 Sales Revenue and Advertising Expenditure Sales Revenue (Rs Lakh) Advertising Expenditure (Rs lakh) Total 5-15 15-25 25-35 35-45 75-125 3 4 8. 19 125-175 8. 6. 7 26 175-225 4 11 225-275 3 2 10 Total 16 15 14 21 66 4 53
Example 16.4) The data given in Table 16.4 are used to calculate the correlation coefficient. Tahle 16 .
shows the worksheet for this purpose. This is followed by the calculation of correlation coefficient
Table 16.5 Computation of Correlation Coefficient
5–15
15-25
25-35
35-45
Total
MV
10
20
30
40
MV
dx →
-1
1
2
fdy
fdy²
fáxdy
dy I
75–125
100
-1
3(3)
8(0)
2(-2)
3(-6)
4(0)
6(0)
2(0)
3(0)
4(-4)
8(-16)
7(0)
4(8)
2(8)
19
-19
19
-17
125-175
150
5(0)
26
175-225
200
1
3(3)
2(4)
11
11
11
9.
225-275
250
2
10
20
40
6.
Total
f
16
15
14
21
66
12
70
-2
fdx
-16
14
42
40
fdx?
16
14
84
114
fdxdy
-5
Check
3
-2
Transcribed Image Text:Example 16.4) The data given in Table 16.4 are used to calculate the correlation coefficient. Tahle 16 . shows the worksheet for this purpose. This is followed by the calculation of correlation coefficient Table 16.5 Computation of Correlation Coefficient 5–15 15-25 25-35 35-45 Total MV 10 20 30 40 MV dx → -1 1 2 fdy fdy² fáxdy dy I 75–125 100 -1 3(3) 8(0) 2(-2) 3(-6) 4(0) 6(0) 2(0) 3(0) 4(-4) 8(-16) 7(0) 4(8) 2(8) 19 -19 19 -17 125-175 150 5(0) 26 175-225 200 1 3(3) 2(4) 11 11 11 9. 225-275 250 2 10 20 40 6. Total f 16 15 14 21 66 12 70 -2 fdx -16 14 42 40 fdx? 16 14 84 114 fdxdy -5 Check 3 -2
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