research about chimpanzees’ cognitive processes. You have just spent a year of your life becoming familiar with the 5 new chimpanzees you purchased with your new grant money. Your first task for the first year was to make sure that all the chimpanzees behave the same way and none of them is either ‘too smart or too dumb’ of an outlier. The experiment you most recently worked on was finished and all you had to do was to analyze the data and

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

You are a researcher conducting research about chimpanzees’ cognitive processes. You have just spent a year of your life becoming familiar with the 5 new chimpanzees you purchased with your new grant money. Your first task for the first year was to make sure that all the chimpanzees behave the same way and none of them is either ‘too smart or too dumb’ of an outlier. The experiment you most recently worked on was finished and all you had to do was to analyze the data and see whether any new chimpanzee is an outlier. In your last experiment you were trying to see whether there is a relationship between the number of hours learning a task (continuous variable) and the task performance (scored using a continuous score between 0 and 15). Each chimpanzee was learning the task for a different number of hours and then each chimpanzee performed the task and its performance got scored. Yesterday, you ran a simple regression with intercept to see whether the number of learning hours can predict the chimpanzee’s task score. Until last night, your life was going according to plan.

 

However, today everything has changed. There was a fire in your office and most of your important research data was lost. Luckily, the chimpanzees are ok. You are rummaging in tears through the ashes in your office and suddenly your face brightens. You have just found a part of an SAS output you ran last night. Granted, it is charred a bit on the edges, but all the important results are there. Now you know that you can finish your research investigating whether any chimpanzee is a significant outlier and then go on with your grant.

 

This is what you found:

 

Observations

residuals

hii (aka leverage)

Chimpanzee Adam

0

0.5439

Chimpanzee Bob

1

0.3421

Chimpanzee Cecile

1

0.2018

Chimpanzee David

-4

0.2632

Chimpanzee Eve

2

0.6491

 

The population model: Y = B0 + B1(Learning Hours) + E

The SSE for the model is 22.

The MSE for the model is 161.333. 

 

Compute the MSE for each corresponding chimpanzee. There are 2 different ways to compute the MSE. One
way is to take the original data, omit the ith observation, rerun the regression on the rest of the data points and record
the obtained MSE as MSE. However, since the data are lost in fire, we cannot do that. The second way is to use
the direct formulas to compute MSE().
r(i)
ei
✓MSE (₁) (1 - hii)
ei
SSE
n-p-2
(1 - hii)
SSE (i)
=
SSE
e²
1- hii
Transcribed Image Text:Compute the MSE for each corresponding chimpanzee. There are 2 different ways to compute the MSE. One way is to take the original data, omit the ith observation, rerun the regression on the rest of the data points and record the obtained MSE as MSE. However, since the data are lost in fire, we cannot do that. The second way is to use the direct formulas to compute MSE(). r(i) ei ✓MSE (₁) (1 - hii) ei SSE n-p-2 (1 - hii) SSE (i) = SSE e² 1- hii
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman