Given are five observations for two variables, x and y. xi 1 2 3 4 5...

Given are five observations for two variables, x and y.

x_i	1	2	3	4	5
y_i	4	7	7	11	15

The estimated regression equation for these data is ŷ = 1 + 2.6x.

Compute SSE, SST, and SSR using the following equations (to 1 decimal).

SSE

SST

SSR
Compute the coefficient of determination r² (to 3 decimals).

Does this least squares line provide a good fit?

Compute the sample correlation coefficient (to 4 decimals).

Solutions

Expert Solution

The statistical software output for this problem is :

SSE = 67.6

SST = 72.8

SSR = 5.2

coefficient of determination = 0.929

Good fit

sample correlation coefficient = 0.9636

orchestra answered 1 year ago

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