Consider the following data for two variables, x and y.
xi 4 5 7 8 10 12 12 22
yi 12 14 16 15 18 20 24 19
Enter negative values as negative numbers.
Compute the standardized residuals for these data (to 2 decimals).
Observation 1 -1.00 Observation 2 -0.40 Observation 3. 0.01 Observation 4. -0.48 Observation 5. 0.25 Observation 6. 0.65 Observation 7. 2.00 Observation 8 -2.16
Compute the leverage values for these data (to 2 decimals).
Observation 1 0.28
Observation 2 0.24
Observation 3 0.16
Observation 4 0.14
Observation 5 0.13
Observation 6 0.14
Observation 7 0.14
Observation 8. 0.76
Do there appear to be any influential observations in these data? 8
Does the scatter diagram indicate any influential observations? Explain.
If the leverage for an observation is greater , it is considered to have high leverage. Need Answer for this Question
Thus, we would conclude that observation 8 is an influential observation.

Respuesta :

There appear to be an influential observations in these data as the mean of the leverage value is 0.75.

How to calculate the mean?

From the data points given, the influential observation is observation 8. Here, the mean of the leverage value will be:

= 3 × 0.25 = 0.75

Also, the scatter diagram indicates influential observations as it's extreme to the x values.

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