A sample of 11 observations on the variables X and Y yielded the following sample calculations: Y

Question:

A sample of 11 observations on the variables X and Y yielded the following sample calculations:

Y = 22 l:x;Y; = 569 ~Y1= 176 x =52 I:x1= 1695 Here V = n- 1 ~Y;, X= n-1 I:.X;, X;= X;-X. Y; = Y;- Y, and all sums are over the n sample observations.

REQUIRED

(a) Estimate a and b in Y =a+ bX, assuming that the observed X values are constant in repeated sampling

(b) Calculate the sample correlation coefficient, r, between Y and X

(c) What is minimised in least squares regression?

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