In a regression analysis involving 27 observations, the following estimated regression equation was developed.
y = 25.2 + 5.5x1
For this estimated regression equation SST = 1550 and SSE = 520

a. At a = .05, test whether x1 is significant.
Suppose that variables x2 and x3 are added to the model and the following regression equation is obtained.
y = 16.3 + 2.3x1 + 12.1x2 - 5.8x3
For this estimated regression equation SST = 1550 and SSE = 100.

b. Use an F test and a .05 level of significance to determine whether x2 and x3 contribute significantly to the model.

Solution Preview

Effective Training
Explain the behavioral and cognitive approaches to learning. Which is most relevant to training? Explain your answer.

Tutor's Response:
The Behavioral Approach in Training
As the term implies, the "Behavioral" approach to training focuses on teaching learners how to do something. It focuses on observing behavior changes and contrast pre-training behavior with post-training behavior.
As an example, the behavioral approach to training will be used in the following situations:
• Teaching long-division
• Teaching medical technicians to draw blood from a patient
• Teaching someone to drive a 16-wheeler truck
• Teaching hotel workers to fold napkins, make beds
• Teaching a new employee to use the copier
• Teaching a new mechanic to fix an engine
• Teaching someone to speak a new language
In ...

Solution Summary

The expert examines regression equation observations.

From a management policy perspective, which regression result is the most useful?
a regressionequation that passes the F-test.
a regressionequation whose explanatory variables all passed the t-test.
a regressionequation that has the highest R2.
a regressionequation that has the least n

A regressionequation was estimated for result X=20 to 50 and Y= 200 to 500. Using the regression result
Y=4X+150
a. predict Y if X is 51
b. predict Y if X is 80
c. Which of the above results might be suspect, and why?

Assume that another counselor decided to extend the aforementioned study by collecting data on 14 children. His study yielded the following results:
Racial Attitude and Preference Test Scores (X)
2 4 2 5 7 8 12 14 14 16 18 18 20 20
Racial Socialization Test Scores (Y)
4 6 8 10 14 12 14 11 16 10 12 6 6 4
Calculate and in

Write out the regressionequation (Refer to the Real Estate data) which reports information on homes sold in the Denver, and use the selling price of the home as the dependent variable and determine the regressionequation with size of the house, and the distance from the center of the city.

Identify the regressionequation and make the prediction. Show your procedure, or explain how you reached your answer.
Find the best predicted cost of subway fare when the CPI is 182.5 (in the year 2000)
CPI 30.2 48.3 112.3 162.2 191.9 197.8
Subway 0.15 0.35 1 1.35 1.5 2
Fare
Regressionequation:
Predicted value:

A regressionequation is used to:
a. Measure the association between two variables
b. Estimate the value of the dependent variable based on the independent variable
c. Estimate the value of the independent variable based on the dependent variable
d. Estimate the coefficient of determination.

1. Compute the Pearson correlation for the following data.
X Y
7 3
3 1
6 5
4 4
5 2
2. Find the regressionequation for predicting X from Y for the following set of scores.
X Y
0 9
1 7
2 11