Question

In: Statistics and Probability

Consider the following data for two variables, x and y. xi 140 110 130 150 175...

Consider the following data for two variables, x and y.

xi 140 110 130 150 175 160 125
yi 150 100 125 120 135 135 115

a. Compute the standardized residuals for these data.

Observation 1
Observation 2
Observation 3
Observation 4
Observation 5
Observation 6
Observation 7

Solutions

Expert Solution

from above:

SSE =Syy-(Sxy)2/Sxx= 910.5839
s2 =SSE/(n-2)= 182.1168
std error σ              = =s=√s2= 13.4951
residual standardized
observations et=(y-ŷ) hi=1/n+(xi-x̅)2/SSx si =s*√(1-hi) residual=et/si
observation 1 24.96 0.1436 12.4889 1.9988
observation 2 -10.80 0.4793 9.7378 -1.1094
observation 3 4.71 0.1873 12.1654 0.3870
observation 4 -9.78 0.1679 12.3103 -0.7945
observation 5 -6.64 0.5268 9.2835 -0.7155
observation 6 0.47 0.2603 11.6062 0.0409
observation 7 -2.92 0.2348 11.8050 -0.2473

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