Suppose That the Data in the Table Below Shows the Average

question 58

Multiple Choice

Suppose that the data in the table below shows the average earnings of year-round full-time workers by gender for several different levels of educational attainment. Find and interpret the slope of the linear regression line. Round the slope to three decimal places. ​

• A) The slope is 0.910. The average annual earnings of females is decreasing at a rate of $0.910 per dollar increase in the annual of males.
• B) The slope is 0.807. The average annual earnings of females is decreasing at a rate of $0.807 per dollar decrease in the average annual earnings of males.
• C) The slope is 0.759. The average annual earnings of females is decreasing at a rate of $0.759 per dollar decrease in the average annual earnings of males.
• D) The slope is 0.900. The average annual earnings of females is increasing at a rate of $0.900 per dollar increase in the average annual earnings of males.
• E) The slope is 0.749. The average annual earnings of females is increasing at a rate of $0.749 per dollar increase in the average annual earnings of males.

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Definitions:

Matched Pairs

An experimental design method where pairs of subjects are matched based on certain criteria to control for confounding variables.

Normally Distributed

Describing a dataset whose distribution of values forms a bell-shaped curve, with most of the values clustering around a central mean value.

Parametric Analysis

A type of analysis where the data is assumed to fit a certain distribution or parameters, such as the normal distribution.

Nonparametric Methods

Statistical methods that are not based on parameterized families of probability distributions, used when data doesn't fit the assumptions of parametric methods.