Chi Square Distribution

To use the Chi Square Distribution, the expected frequency of every cell must be at least 5

Question 1 options:

True

False

Question 2 (1 point)

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A test for the difference between two proportions can be performed using the chi-square distribution

Question 2 options:

True

False

Question 3 (1 point)

Consider the variables Y (annual income) and X (years of formal education). In this situation, X is likely to be the dependent variable.

Question 3 options:

True

False

Question 4 (1 point)

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In multiple regression analysis, there are more than one explanatory variables

Question 4 options:

True

False

Question 5 (1 point)

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When independent variables are highly correlated with each other, multicollinearity is present

Question 5 options:

True

False

Question 6 (1 point)

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Question 6 options:

In regression analysis, we use _ (F-statistics/t-test) to determine the overall significance of the regression equation (model).

F-statistics

Question 7 (1 point)

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Question 7 options:

As more independent variables are added to the multiple regression model __ (R2 /Adjusted R2) will only increase if the additional variable adds substantial explanatory power to the model.

R2 (R square)

Question 8 (1 point)

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Question 8 options:

In regression analysis, independent variables are sometimes called the __ (explanatory/predicted) variables.

explanatory

Question 9 (1 point)

Question 9 options:

In multiple regression analysis, _ (multicollinearity/elasticity) occurs when independent variables are correlated with each other.

Question 10 (1 point)

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Question 10 options:

A multiple regression model has __ (one/more than one) independent variable(s).

more than one

Question 11 (1 point)

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Which of the following could not represent a correlation coefficient?

Question 11 options:

0.5

0.9

• 0.5

1.5

Question 12 (1 point)

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When do you need to use dummy variables in multiple regression?

Question 12 options:

When correcting for multicollinearity

When performing residual analysis

When qualitative variables are used in the model

None of the above

Question 13 (1 point)

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If the coefficient of correlation is - 0.60, the coefficient of determination is:

Question 13 options:

• 0.60
• 0.36

0.36

0.40

Question 14 (1 point)

In a typical simple linear regression regression y = bo + b1X1. The descriptive interpretation of b1 is that it is:

Question 14 options:

The slope of the estimated line

A ratio of the rise of the line over the run of the line

How the dependent variable is related to the independent variable

All of the above

Question 15 (1 point)

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Which of the following p-values will lead us to reject the null hypothesis if the level of significance is equal to 0.05?

Question 15 options:

0.051

0,100

0.025

0.15

Question 18 (1 point)

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In a simple linear regression model, the y-intercept represents the:

Question 18 options:

Change in y per unit change in x

Value of y when x = 0

Change in x per unit change in y

Value of x when y = 0

Question 19 (1 point)

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In a regression analysis, if SSR is the regression sum of squares, SST is the total sum of squares, and SSE is the sum of squares of residuals. Which of the following is the definition of R2?

Question 19 options:

SSR/SST

SSE/SSR

SST/SSR

SSR/SSE

Question 20 (1 point)

R2 is computed to be 0.79 for a multiple regression analysis on fifty independent variables. What is the appropriate interpretation of R2 = 0.79?

Question 20 options:

The model predicts outcomes 79% of the time.

79% of variations (changes) in the dependent variable y are explained by the independent variable x.

Sample Solution