Find x2 in the set of given below
x 12 14 10 12 14 15 12 11 11 10
y 45 60 25 25 70 45 50 50 60 70
"\\sum_iX_iY_i=6095,\\sum_iX_i=1491, \\sum_iY_i=27300"
"\\bar{Y}=\\dfrac{1}{n}\\sum_iY_i=\\dfrac{500}{10}=50"
"SS_{XX}=\\sum_iX_i^2-\\dfrac{1}{n}(\\sum_iX_i)^2=1491-\\dfrac{(121)^2}{10}"
"=26.9"
"SS_{YY}=\\sum_iY_i^2-\\dfrac{1}{n}(\\sum_iY_i)^2=27300-\\dfrac{(500)^2}{10}"
"=2300"
"SS_{XY}=\\sum_iX_iY_i-\\dfrac{1}{n}(\\sum_iX_i)(\\sum_iY_i)"
"=6095-\\dfrac{121(500)}{10}=45"
"m=slope=\\dfrac{SS_{XY}}{SS_{XX}}"
"=\\dfrac{45}{26.9}=1.672862"
"n=\\bar{Y}-m\\bar{X}"
"=50-1.672862(12.1)"
"=29.758364"
Therefore, we find that the regression equation is:
Correlation coefficient:
"=0.180914"
No correlation.
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