This course covers the topics of linear regression and correlation coefficient, with solved examples. The learning outcomes include understanding the correlation coefficient, covariance, variance, derivation of Spearman's rank correlation coefficient, finding regression equations, and using the method of least squares to calculate regression coefficients and constants. The course teaches skills such as calculating correlation coefficients, regression equations, and understanding the relationship between variables. The teaching method involves solving examples and proofs to explain the concepts. This course is intended for students studying statistics, particularly those in B.Sc and B.A programs.
Overview
Syllabus
Correlation lies b/w -1 and +1.
Q 1.20 Book Statistical Methods by Prof. shahid Jamal (for B.sc and B.A).
(Q 1.24 Book Statistical Method by prof.shahid jamal)B.sc 2 paper 4..
Two indep. variates X1 and X2 have means 5 and 10 and variances 4,9.find corr. coef. b/w y1 and y2.
Covariance of two random variables when X and Y are dependent variables. cov(x,y)=E(x y) - E(x).E(y).
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.
Proof (Variance of the sum or difference of the two random variables.) var(x+y)=v(x)+v(y)+2cov(x,y).
Show that Coefficient of correlation is independent of change of Origin and Scale..
Derivation of Spear man's rank correlation coeff.(Bsc past paper iv 2015,Q.8(a) 2010Q.9(a) 2009Q6(a).
Find regression equation for cost related to age.also predict the maintenance cost,if x=12.
Method of least square (how to find regression coefficient (b) and regression constant (a)..
Coefficient of Correlation is lie b/w -1 and +1to prove this property we standardized r.v's X and Y..
Taught by
Statistics is Fun A.H
