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Byju's Answer
Standard XII
Mathematics
Onto Function
The following...
Question
The following results were obtained with respect to two variable x and y:
∑
x
=
30
,
∑
y
=
42
,
∑
x
y
=
199
,
∑
x
2
=
184
,
∑
y
2
=
318
,
n
=
6.
The regression coefficients. Find the regression equation of y on x.
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Solution
b
y
x
=
∑
x
y
−
1
n
∑
x
.
∑
y
∑
x
2
−
1
n
(
∑
x
)
2
=
199
−
1
6
(
30
)
(
42
)
184
−
1
6
(
30
)
2
=
199
−
210
184
−
150
=
−
11
34
=
−
0.323
b
x
y
=
∑
x
y
−
1
n
∑
x
∑
y
∑
y
2
−
1
n
(
∑
y
)
2
=
199
−
1
6
(
30
)
(
42
)
318
−
1
6
(
42
)
2
=
199
−
210
318
−
294
=
−
11
24
=
−
0.458
¯
¯
¯
x
=
∑
x
6
=
30
6
=
5
¯
¯
¯
y
=
∑
y
6
=
42
6
=
7
Regression line of y on
x
,
y
−
¯
¯
¯
y
=
b
y
x
(
x
−
¯
¯
¯
x
)
y
−
7
=
−
11
34
(
x
−
5
)
34
y
−
238
=
−
11
x
+
55
11
x
+
34
y
−
293
=
0
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0
Similar questions
Q.
The following results were obtained with respect to two variable x and y:
∑
x
=
30
,
∑
y
=
42
,
∑
x
y
=
199
,
∑
x
2
=
184
,
∑
y
2
=
318
,
n
=
6.
Find the regression coefficients.
Q.
The following results were obtained with respect to two variable x and y:
∑
x
=
30
,
∑
y
=
42
,
∑
x
y
=
199
,
∑
x
2
=
184
,
∑
y
2
=
318
,
n
=
6.
The regression coefficients. Find the likely value of y when x = 10.
Q.
The following results were obtained with respect to two variable x and y:
∑
x
=
30
,
∑
y
=
42
,
∑
x
y
=
199
,
∑
x
2
=
184
,
∑
y
2
=
318
,
n
=
6.
Find the correlation coefficient between x and y.
Q.
For 10 observations on price (x) and supply (y), the following data was obtained:
∑
x
=
130
,
∑
y
=
220
,
∑
x
2
=
2288
,
∑
y
2
=
5506
and
∑
x
y
=
3467
.
What is the line of regression of y on x?
Q.
Find the regression coefficients
b
y
x
for the data
∑
x
=
55
,
∑
y
=
88
,
∑
x
2
=
385
,
∑
y
2
=
385
,
∑
x
y
=
586
,
n
=
10
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