Agriculture Reference
In-Depth Information
No. of flowers per plant (
Y
)
Y
1-3
3-5
5-7
7-9
9-11
11-13
Plant ht (
X
)
X
2
4
6
8
10
12
Total (
f
i
)
25-35
30
0
1
0
0
0
0
1
35-45
40
1
2
0
0
0
0
3
45-55
50
0
3
2
1
0
0
6
55-65
60
1
3
2
1
1
0
8
65-75
70
2
2
3
1
0
0
8
75-85
80
0
1
2
2
2
0
7
85-95
90
0
2
3
3
1
0
9
95-105
100
0
1
4
3
2
1
11
105-115
110
0
0
5
4
3
1
13
115-125
115
0
2
5
3
2
0
12
Total (
f
.j
)
4
17
26
18
11
2
78
P
P
10
i¼
1
f
i:
X
i
¼
10
i¼
1
f
:j
Y
j
¼
X ¼
1
N
86
:
795 and
Y ¼
1
N
6
:
538
P
P
10
6
2
2
2
X
¼
1
N
2
i
X
2
Y
¼
1
N
2
j
Y
s
1
f
i:
X
¼
574
:
343,
s
1
f
:j
Y
¼
5
:
505
i¼
j¼
P
10
6
j¼
1
f
ij
X
i
Y
j
XY ¼
P
1
N
s
XY
¼
19
:
29
r
XY
¼
0.343.
i¼
1
Y Y ¼ r
s
Y
Readers can verify whether the results in both
cases are almost same. Additionally, some statis-
tical properties of the coefficients as well as that
of the whole regression exercise are also
provided. While taking up multiple regression
analysis during multivariate analysis, we would
show how this analysis could also be performed
using SPSS and SAS software.
s
X
ðX XÞ
) Y ¼ Y þ r
s
Y
s
X
X X
343
2
:
346
23
) Y ¼
6
:
538
þ
0
:
965
ðX
86
:
795
Þ
:
¼
6
:
538
þ
0
:
034
X
2
:
915
) Y ¼
3
:
623
þ
0
:
034
X:
Example 8.32.
Given below are the data on plant
height and the number of flowers per plant to find
out the correlation coefficient and the relation-
ship between the plant height and the number of
flowers per plant
Now, the regression equation of the number of
flowers per plant (
The above regression equation of the number
of flowers per plant on plant height of okra
indicates that for every centimeter change in
plant height, the number of flowers per plant
will increase by 0.034 numbers.
Y
) on plant height (
X
)isgivenby
