Linear Regression and Correlation

Linear Regression and Correlation

Statistics is Fun A.H via YouTube Direct link

Proof (Variance of the sum or difference of the two random variables.) var(x+y)=v(x)+v(y)+2cov(x,y)

7 of 12

7 of 12

Proof (Variance of the sum or difference of the two random variables.) var(x+y)=v(x)+v(y)+2cov(x,y)

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Linear Regression and Correlation

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  1. 1 Correlation lies b/w -1 and +1
  2. 2 Q 1.20 Book Statistical Methods by Prof. shahid Jamal (for B.sc and B.A)
  3. 3 (Q 1.24 Book Statistical Method by prof.shahid jamal)B.sc 2 paper 4.
  4. 4 Two indep. variates X1 and X2 have means 5 and 10 and variances 4,9.find corr. coef. b/w y1 and y2
  5. 5 Covariance of two random variables when X and Y are dependent variables. cov(x,y)=E(x y) - E(x).E(y)
  6. 6 corr b/w x and y is "r".show that corr b/w ax and by is +r or -r acc to a and b hv same or diff sign
  7. 7 Proof (Variance of the sum or difference of the two random variables.) var(x+y)=v(x)+v(y)+2cov(x,y)
  8. 8 Show that Coefficient of correlation is independent of change of Origin and Scale.
  9. 9 Derivation of Spear man's rank correlation coeff.(Bsc past paper iv 2015,Q.8(a) 2010Q.9(a) 2009Q6(a)
  10. 10 Find regression equation for cost related to age.also predict the maintenance cost,if x=12
  11. 11 Method of least square (how to find regression coefficient (b) and regression constant (a).
  12. 12 Coefficient of Correlation is lie b/w -1 and +1to prove this property we standardized r.v's X and Y.

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