Question

In: Statistics and Probability

Exercise 12.50 (Algorithmic)} Consider the following data for two variables, x and y. xi 135 110...

Exercise 12.50 (Algorithmic)}

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

xi 135 110 135 150 175 160 125
yi 145 105 120 120 135 130 115

a. Compute the standardized residuals for these data.

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

I got 23.13 for the first one and it was wrong

Solutions

Expert Solution

For the give data using Regression in Excel  we get output as

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.615426681
R Square 0.37875
Adjusted R Square 0.2545
Standard Error 11.53798076
Observations 7
ANOVA
df SS MS F Significance F
Regression 1 405.8035714 405.8036 3.04829 0.141260351
Residual 5 665.625 133.125
Total 6 1071.428571
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 71.25 30.68811692 2.321746 0.067906 -7.636315883 150.1363159
X 0.375 0.214784603 1.745935 0.14126 -0.177121399 0.927121399
RESIDUAL OUTPUT
Observation Predicted Y Residuals
1 121.875 23.125
2 112.5 -7.5
3 121.875 -1.875
4 127.5 -7.5
5 136.875 -1.875
6 131.25 -1.25
7 118.125 -3.125

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