# Hypothesis and statistical variables

A scatter diagram is a chart

A. In which the dependent variable is scaled along the vertical axis.

B. In which the independent variable is scaled along the horizontal axis.

C. That portrays the relationship between two variables.

D. All of the above.

In correlation analysis

A. We consider several independent variables.

B. We study the strength of the association between two variables.

C. We consider the intercept with the Y-axis.

D. None of the above.

The sample coefficient of correlation

A. Has the same sign as the slope, i.e. b.

B. Can range from -1.00 up to 1.00

C. Is also called Pearson's r.

D. All of the above.

The coefficient of determination

A. Is the square of the coefficient of correlation.

B. Cannot be negative.

C. Reports the percent of the variation in the dependent variable explained by the independent variable.

D. All of the above.

Suppose we developed the following least squares regression equation: Y' = 3.5 +2.1 . Which of the following statement is correct?

A. The dependent variable increases 2.1 for an increase of 1 in . B. The equation crosses the Y-axis at 3.5.

C. If = 5, then Y' = 14. D. All of the above.

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#### Solution Preview

A scatterplot:

- independent variable is customarily plotted along the horizontal axis

- dependent variable is customarily plotted along the vertical axis

- shows the relashionship between the variables

So D - all of the above

In correlation analysis

- We want to see the relashiopnship between one independent ...

#### Solution Summary

This solution answers various questions regarding hypothesis testing and statistical variables.