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The Following Data Show the Results of an Aptitude Test α\alpha

question 33

Essay

The following data show the results of an aptitude test (Y) and the grade point average of 10 students.  The following data show the results of an aptitude test (Y) and the grade point average of 10 students.    a.Develop a least squares estimated regression line. b.Compute the coefficient of determination and comment on the strength of the regression relationship. c.Is the slope significant? Use a t test and let  \alpha  = 0.05. d.At 95% confidence, test to determine if the model is significant (i.e., perform an F test).
a.Develop a least squares estimated regression line.
b.Compute the coefficient of determination and comment on the strength of the regression relationship.
c.Is the slope significant? Use a t test and let α\alpha = 0.05.
d.At 95% confidence, test to determine if the model is significant (i.e., perform an F test).

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Definitions:

Socially Optimal Quantity

The level of production that maximizes societal welfare, often considered at the point where marginal cost equals marginal benefit.

Marginal Social Cost

The total cost to society of producing one additional unit, including both private costs and any external costs.

Marginal Social Benefit

The extra advantage to the community that comes from creating or using an additional unit of a product or service.

Pollution

It refers to the introduction of harmful substances or products into the environment, causing adverse effects on living beings and ecosystems.

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