# estimated regression line

PLEASE SEE THE ATTACHED DOCUMENT FOR CHART

(a) Complete the above table, putting the sums in the last row. What are mean of X(X(bar)) and mean of Y(Y(bar))?

(b) Assume our estimated regression line is Y(hat)i = b0 + b1Xi and calculate b0 and b1 from this chart and provide an interpretation of each.

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#### Solution Preview

X Y X - X(bar) (X - X(bar))2 Y - Y(bar) (X - X(bar)) (Y - Y(bar))

3 6 2 4 3.6 7.2

2 2 1 1 -0.4 -0.4

1 4 0 0 1.6 0

-1 2 -2 4 -0.4 0.8

0 -2 -1 1 -4.4 4.4

∑ Xi ∑ Yi ∑ (Xi - X(bar)) ∑ (Xi - (bar))2 ∑ (Yi - Y(bar)) ∑ (Xi - X(bar) (Yi - ...

#### Solution Summary

The estimated regression line is assessed clearly.

$2.19