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CORRELATION
GRADE 11 MATH
COLLEGE MATH
r 𝜚
PREVIEW:
THIS VIDEO ILLUSTRATES THE METHOD OF CALCULATING
CORRELATION.
THE METHOD OF CALCULATING COVARIANCE IS ALSO DISCUSSED.
DIFFERENT TYPES OF PROBLEMS USING DIFFERENT FORMULAE ARE
DISCUSSED.
SO STAY RIGHT THROUGH THE ENTIRE VIDEO!
Correlation is used to measure the degree of variations in 2variables.
We first define Covariance between 2 variables x and y
Karl Pearson’ s coefficient of correlation
CALCULATING CORRELATION COEFFICIENT
CALCULATING CORRELATION COEFFICIENT
r has a moderate degree of negative correlation.
If
r has a low degree of negative correlation.
CALCULATING CORRELATION COEFFICIENT
Let u =x-A, v = y-B
1) Find r if cov(x,y)=-16.5 var(x)=2.25,
Var(y) =144
2) If n = 10,
Find the correlation coefficient
𝑛 𝑥𝑦 − 𝑥 𝑦
𝑛 𝑥2 − ( 𝑥)2 𝑛 𝑦2 − ( 𝑦)2
226
CALCULATING CORRELATION COEFFICIENT
Question 3
The coefficient of correlation between 2 variables x and y is 0.64. Their
covariance is 16. Variance of x is 9. Find the standard deviation of y
Question 4
Find the covariance and coefficient of correlation between x and y
when n=10
r =
Question 5
Calculate coefficient of correlation for the following
CALCULATING CORRELATION COEFFICIENT
Question 6
Calculate Karl Pearson’s coefficient of correlation
Sales in lakhs Expenditure in lakhs
18 23
20 27
27 28
20 28
21 29
29 30
Sales Expenditure u v uv
18 23 - 5 - 5 25 25 25
20 27 - 3 -1 3 9 1
27 28 4 0 0 16 0
20 28 - 3 0 0 9 0
21 29 -2 1 - 2 4 1
29 30 6 2 12 36 4
r =
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CALCULATING CORRELATION COEFFICIENT