The Manager of a Local Shopping Mall Uses Simple Linear

question 8

Multiple Choice

The manager of a local shopping mall uses simple linear regression to develop an equation that predicts the number of daily shoplifting incidents at the mall's stores based on the number of security guards employed.Below is a partial table showing the data that was used. The slope of the regression line is b = -1.2; the intercept of the regression line is a = 14.5.
Calculate the residual associated with the last observation in the data set, where x = 9 and y = 3.

• A)-2.11
• B)-0.7
• C)2.11
• D)0.7

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Definitions:

Single Dependent Variable

The outcome variable in a study or experiment that is thought to depend on or be influenced by one or more independent variables.

Variation

The measure of the spread of data points in a data set from each other and from their mean value.

Developing

In statistics or data analysis, it typically refers to the process of constructing models, hypotheses, or understanding patterns within data sets.

Dependent Variable

The outcome variable in an experiment or study that is being tested and measured, believed to be affected by the independent variable(s).