Question

Below shows a sample of 5 pairs of data:

x	y
5	3
1	4
3	5
8	6
3	1

The following are some summaries of the data:

∑ni=1xi=20,∑ni=1yi=19,∑ni=1(xi−x¯)=0,∑ni=1(yi−y¯)=0,∑i=1nxi=20,∑i=1nyi=19,∑i=1n(xi−x¯)=0,∑i=1n(yi−y¯)=0,
∑ni=1(xi−x¯)2=28,∑ni=1(yi−y¯)2=14.8,∑ni=1(xi−x¯)(yi−y¯)=9.∑i=1n(xi−x¯)2=28,∑i=1n(yi−y¯)2=14.8,∑i=1n(xi−x¯)(yi−y¯)=9.

Calculate the regression line. Provide an interpretation of the intercept and slope coefficient. Round your answer to 4 decimal points.

Answer 1