Question

Find out Karl Pearson’s coefficient of correlation from following data : Price (in Rs.) : 27 28 29 30 31 32 33 34 35 36 Supply (in kg) : 76 74 76 66 64 66 68 58 52 46​

Answer 1

Answer:

Karl Pearson Correlation Coefficient Formula

The coefficient of correlation rxy between two variables x and y, for the bivariate dataset (xi,yi) where i = 1,2,3…..N; is given by –

r(x,y)=cov(x,y)σxσy

where,

⇒ cov(x,y): the covariance between x and y

– ΣNi=1(xi–x¯)(yi–y¯)N=ΣxiyiN–x¯y¯

Here, barx and y¯ are simply the respective means of the distributions of x and y.

⇒ σx and σy are the standard deviations of the distributions x and y.

– σx=Σ(xi–x¯)2N−−−−−−√=Σx2iN–x¯2−−−−−−√

– σy=Σ(yi–y¯)2N−−−−−−√=Σy2iN–y¯2−−−−−−√

Alternate Formula

If some data is given in the form of a class-distributed frequency distribution, you may use the following formulae –

⇒ cov(x,y): the covariance between x and y

– Σi,jxiyifijN–x¯y¯

Answer 2

Answer:

sorry i don't know

Explanation:

Find out Karl Pearson’s coefficient of correlation from following data : Price (in Rs.) : 27 28 29 30 31 32 33 34 35 36 Supply (in kg) : 76 74 76 66 64 66 68 58 52 46