A consulting group was hired by the Human Resources Department at General Mills,
ID: 3391233 • Letter: A
Question
A consulting group was hired by the Human Resources Department at General Mills, Inc. to survey company employees regarding their degree of satisfaction with their quality of life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied, namely, age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week—such as bowling and dancing (X6). Suppose the multiple regression equation is:
What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500, has three children living, has assets of $156,000, has an index of health status of 141, and has 2.5 social activities a week on the average? (Round your answer to 3 decimal places.)
Which would add more to satisfaction, an additional income of $10,000 a year or two more social activities a week? (Round your answers to 1 decimal place.)
Estimated Index: _____
Income added only:_____ to the index. Social activities added ______.
= 16.24 + 0.017X1 + 0.0028X2 + 42X3 + 0.0012X4 + 0.19X5 + 26.8X6
a.What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500, has three children living, has assets of $156,000, has an index of health status of 141, and has 2.5 social activities a week on the average? (Round your answer to 3 decimal places.)
b.Which would add more to satisfaction, an additional income of $10,000 a year or two more social activities a week? (Round your answers to 1 decimal place.)
Estimated Index: _____
Income added only:_____ to the index. Social activities added ______.
Explanation / Answer
A)
As
y^ = 16.24 + 0.017X1 + 0.0028X2 + 42X3 + 0.0012X4 + 0.19X5 + 26.8X6
Plugging in the given,
y^ = 16.24 + 0.017*18 + 0.0028*26500 + 42*3 + 0.0012*156000 + 0.19*141 + 26.8*2.5
y^ = 497.736 [ANSWER, esimated index]
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b)
If we add 10000 to income, there will be an increase of 0.017*10000 = 170. [ANSWER]
If we add 2 social activities, there is an additional 26.8*2 = 53.6 [ANSWER]
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