Given are five observations for two variables, x and y.
x_{i} |
1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
y_{i} |
2 | 8 | 6 | 11 | 13 |
a) Develop the estimated regression equation by computing the values of b_{0} and b_{1} using b_{1} =
Σ(x_{i} − x)(y_{i} − y) |
Σ(x_{i} − x)^{2} |
and b_{0} = y − b_{1}x.
ŷ =?
b) Use the estimated regression equation to predict the value of y when
x = 2.
The statistical software output for this problem is:
Hence,
a) Regression equation:
y = 0.5 + 2.5x
b) Estimated regression value = 0.5 + 2.5*2 = 5.5
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