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# Regression Study Questions

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1. What is the variable used to predict the value of another called?

A) Independent
B) Dependent
C) Correlation
D) Determination

2. Based on the regression equation, we can

A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.

3. What is the range of values for a coefficient of correlation?

A) 0 to +1.0
B) -3 to +3 inclusive
C) -1.0 to +1.0 inclusive
D) Unlimited range

4. What is the general form of the regression equation?

A) Y' = ab
B) Y' = a + bX
C) Y' = a - bX
D) Y' = abX

5. Which value of r indicates a stronger correlation than 0.40?

A) -0.30
B) -0.50
C) +0.38
D) 0

6. Suppose the least squares regression equation is Y' = 1202 + 1133X.
When X = 3, what does Y' equal?

A) 5,734
B) 8,000
C) 4,601
D) 4,050

7. In the least squares equation, Y' = 10 + 20X the value of 20 indicates

A) the Y intercept.
B) for each unit increase in X, Y increases by 20.
C) for each unit increase in Y, X increases by 20.

8. In the equation Y' = a + bX, what is Y'?

A) Slope of the line
B) Y intercept
C) Predicted value of Y, given a specific X value
D) Value of Y when X=0

9. In the equation Y' = a + bX, what is a?

A) Slope of the line
B) Y intercept
C) Predicted value of Y, given a specific X value
D) Value of Y when X=0

10. If the regression equation is Y' = 2 - 0.4X, what is the value of Y' when X = -3?

A) 0.8
B) 3.2
C) -10.0
D) 14.0

11. In the regression equation, y' = a + bx what does the letter "b" represent?

A) Y intercept
B) Slope of the line
C) Any value of the independent variable that is selected
D) Value of Y when X=0

12. A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales. What is the dependent variable?

A) Salesperson
B) Number of contacts
C) Amount of sales
D) All the above

https://brainmass.com/math/interpolation-extrapolation-and-regression/regression-study-questions-189236

#### Solution Preview

1. What is the variable used to predict the value of another called?

A) Independent
B) Dependent
C) Correlation
D) Determination

It is called the independent variable. The variable that is predicted using the independent variable is called the dependent variable. Usually, the independent variable is indicated by "x" and the dependent variable is indicated by "y".

2. Based on the regression equation, we can

A) predict the value of the dependent variable given a value of the independent variable.
B) predict the value of the independent variable given a value of the dependent variable.
C) measure the association between two variables.

We can use the regression equation to predict the value of the dependent variable given a value of the independent variable.

3. What is the range of values for a coefficient of correlation? ...

#### Solution Summary

Regression and correlations are determined in multiple ways.

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