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Question

The following results were obtained with respect to two variable x and y:
x=30,y=42,xy=199,x2=184,y2=318,n=6. The regression coefficients. Find the regression equation of y on x.

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Solution

byx=xy1nx.yx21n(x)2
=19916(30)(42)18416(30)2
=199210184150=1134=0.323
bxy=xy1nxyy21n(y)2
=19916(30)(42)31816(42)2
=199210318294=1124=0.458

¯¯¯x=x6=306=5
¯¯¯y=y6=426=7
Regression line of y on x, y¯¯¯y=byx(x¯¯¯x)
y7=1134(x5)
34y238=11x+55
11x+34y293=0

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