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Byju's Answer
Standard XII
Mathematics
Mean Deviation about Mean
From the give...
Question
From the given data:
Variable
x
y
Mean
6
8
Standard Deviation
4
6
and correlation coefficient:
2
3
. Find Regression line x on y.
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Solution
Given: correlation coefficient
:
r
=
2
3
Mean of
x
:
¯
x
=
6
, Mean of
y
:
¯
y
=
8
,
Standard deviation of
x
:
S
x
=
4
, Standard deviation of
y
:
S
y
=
6
Regression line
x
on
y
:
x
=
a
+
b
y
where
a
=
¯
x
−
b
¯
y
and
b
=
b
x
y
=
r
S
y
2
b
x
y
=
r
S
y
2
=
2
/
3
6
2
=
1
54
a
=
6
−
1
54
×
8
=
6
−
4
27
=
158
27
Regression line
:
x
=
158
27
+
1
54
y
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Similar questions
Q.
From the given data:
Variable
x
y
Mean
6
8
Standard Deviation
4
6
and correlation coefficient:
2
3
. Find Most likely value of x when
y
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.
Q.
From the given data.
Variable
x
y
Mean
6
8
Standard Deviation
4
6
and correlation coefficient:
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. Find Regression coefficients
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and
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Q.
The following data has been given below:
Series
X
Y
Mean
6
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Standard Deviation
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Coefficient of correlation
=
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.
Find
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x
.
Q.
The coefficient of correlation between the values denoted by
X
and
Y
is
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. The mean of
X
is
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and that of
Y
is
5
. Their standard deviations are
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respectively. Find:
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Q.
The regression equation of Y on X is
y
=
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x
and the regression equation of X on Y is
x
=
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2
+
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Find: a. Correlation coefficient between X and Y.
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