# Linear regression questions

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Management has collected data on the size of five work groups(X) and the number of complaints per month (Y) received by the organization from each group. A regression was run using as the independent variable the size of the work group(number of employees in the work group) to predict the number of registered complaints. Suppose the regression equation from the data is: Y = 2 + 2.25(X). Given a new work group that consisted of 8 employees, How many complaints could management expect?

a) 3

b) 10

c) 20

d) 16

If the level of confidence is decreased from 95% to 90%, the width of the corresponding confidence interval will:

a) be increased

b) be decreased

c) Stay the same

d) The level of confidence does not have an effect on the width of the interval

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This solution answers two questions about a given linear regression model along with detailed explanations.

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The calculations in this problem are very simple and it's not necessary to use an Excel sheet to do them. Please see the attached Word document for the solutions to these questions and detailed explanations.

1) Management has collected data on the size of five work groups(X) and the number of complaints per mont (Y) received by the organization from each group. A regresion was run using as the independent variable the size of the work group(number of employees in the work group)to predict the number of registered complaints. Suppose the regression equation from the data is: Y = 2 + 2.25(X). Given ...

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