Take this same regression equation (y = 12 + 4.5x) and calculate the residual when x and y have the following actual values x = 8 and y = 52. The residual for this particular point is:
52
48
4
-4
Answer: 4
The regression equation: y = 12 + 4.5x
Actual value of y when x = 8 is 52
Predicted value of y when x = 8 is (12 + 4.5*8) = 48
The residual for this particular point is (Actual – Predicted) = (52 – 48) = 4
Take this same regression equation (y = 12 + 4.5x) and calculate the residual when x...
b. What is the equation of the regression
line for the set of points?
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Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
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of y when x = 9.
Observation 1 2 3 4 5 6 7 8...
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