Order Code: Tv 261
Question Task Id: 0
- Country :
United States America
1. Imagine that you are head of personnel at Huge Corp. The CEO keeps getting other people's mail by mistake, so she asks you to conduct a study of mailroom productivity. You take a random sample of 27 mailroom employees and gather data on the following variables:
- productivity (PROD = letters correctly sorted per minute),
- experience (EXP = months of experience in the Huge Corp. mailroom), and
- aptitude score (SCORE = score on the test they took when they applied for a job at Huge Corp.)
You generate the following regression equation:
Predicted PROD = 2.0 + 0.5 EXP + 0.2 SCORE
- Identify the independent variable(s) and the dependent variable(s).
- Ernest has just been hired, and has an aptitude score of 80. What level of productivity would you expect from Ernest?
- How much is Ernest’s productivity expected to improve after he gains an additional 6 months of experience?
- What is the best interpretation of the intercept term (2.0) in the regression equation?
- Jack has 3 months more experience than Jill, but Jill’s aptitude score is 20 points higher than Jack’s. Who is expected to be more productive?
2. Literacy rate is a reflection of the educational facilities and quality of education available in a country, and mass communication plays a large part in the educational process. In an effort to relate the literacy rate of a country to various mass communication outlets, a demographer has proposed to relate literacy rate to the following variables: number of daily newspaper copies (per 1000 population), number of radios (per 1000 population), and number of TV sets (per 1000 population). Here are the data for a sample of 10 countries:
Below is the Minitab output from a Multiple Linear Regression analysis.
- What is the response (dependent) variable? What are the predictor (independent) variables?
- Write the least-squares regression equation for this problem.
- For every additional daily newspaper copy per 1000 people in a population, literacy rate is predicted to be _________ higher, keeping the number of radios and TV sets the same.
- For countries with the same number of daily newspaper copies and same number of TV sets (per 1000 people in the population), literacy rate is predicted to be ________ higher for every additional radio per 1000 people in the population.
- Predict literacy rate for a country that has 200 daily newspaper copies (per 1000 in the population), 800 radios (per 1000 in the population), and 250 TV sets (per 1000 in the population).
- Verify that the F-statistic in the output above equals MSM / MSE.
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