The Accompanying Data Were Compiled by the Admissions Office at a Certain

question 130

Multiple Choice

The accompanying data were compiled by the admissions office at a certain college during the past 5 years. The data relate the number of college brochures and follow-up letters sent to a preselected list of high school juniors who had taken the PSAT and the number of completed applications received from these students (both measured in units of a thousand) . Use the least-squares line to predict the number of completed applications expected if 4,400 brochures and follow-up letters are sent out during the next year.

• A) 1,650
• B) 1,500
• C) 1,550
• D) 1,700
• E) 1,600

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Definitions:

Residual

The difference between the observed value and the estimated value of the quantity of interest.

Correlation Coefficient

Quantitative assessment designed to determine the magnitude and directionality of a linear association between two variables.

Regression Analysis

A statistical method for estimating the relationships among variables, particularly the relationship between a dependent variable and one or more independent variables.

SST

Total Sum of Squares, a measure in statistical analysis that quantifies the total variation within a dataset.