Exam 14: Linear Correlation and Simple Linear Regression Analysis

A researcher has developed the regression equation y = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ___.

(Multiple Choice)

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Question 21

According to the following graphic, X and Y have ___.

(Multiple Choice)

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Question 22

In regression, the predictor variable is called the dependent variable.

(True/False)

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Question 23

The numerical value of the coefficient of correlation must be ___.

(Multiple Choice)

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Question 24

The equation of a regression line is . Use the data below to determine the standard error of the estimate.

(Short Answer)

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Question 25

In the regression equation, y = 49.56 + 0.97x, the slope is ___.

(Multiple Choice)

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Question 26

Suppose for a given data set the regression equation is: y = 54.78 + 1.45x, and the point (0.00, 24.78) is in the data set. The residual for this point is ___.

(Multiple Choice)

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Question 27

Louis Katz, a cost accountant at Papalote Plastics, Inc. (PPI), is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI. Louis's independent variable is production lot size (in 1,000's of units), and his dependent variable is the total cost of the lot (in $100's). Regression analysis of the data yielded the following tables. Louis's sample size (n) is ___.

(Multiple Choice)

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Question 28

Regression output from Excel software directly shows the regression equation.

(True/False)

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Question 29

Louis Katz, a cost accountant at Papalote Plastics, Inc. (PPI), is analyzing the manufacturing costs of a molded plastic telephone handset produced by PPI. Louis's independent variable is production lot size (in 1,000's of units), and his dependent variable is the total cost of the lot (in $100's). Regression analysis of the data yielded the following tables: Using α = 0.05, Louis should ___.

(Multiple Choice)

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Question 30

The process of constructing a mathematical model or function that can be used to predict or determine one variable by another variable is called regression analysis.

(True/False)

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Question 31

If there is positive correlation between two sets of numbers, then ___.

(Multiple Choice)

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Question 32

Which of the following assertions is true about the regression line?

(Multiple Choice)

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Question 33

For the following scatter plot and regression line, at x = 35 the residual is ___.

(Multiple Choice)

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Question 34

According to the following graphic, X and Y have ___.

(Multiple Choice)

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Question 35

A manager at a local bank analyzed the relationship between weekly sales (in $) and length of service (in months) for 30 employees. The table below summarizes a portion of the regression results: a) Determine the equation of the least squares regression of sales on length of service b) Predict the sale for an employee who has been working for 42 months?

(Short Answer)

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Question 36

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

(True/False)

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Question 37

The total of the squared residuals is called the ___.

(Multiple Choice)

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Question 38

If there is perfect negative correlation between two sets of numbers, then ___.

(Multiple Choice)

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Question 39

The difference between the actual y value and the predicted y value found using a regression equation is called the residual.

(True/False)

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Question 40

Showing 21 - 40 of 110

A researcher has developed the regression equation y = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ___.

According to the following graphic, X and Y have ___.

In regression, the predictor variable is called the dependent variable.

The numerical value of the coefficient of correlation must be ___.

The equation of a regression line is . Use the data below to determine the standard error of the estimate.

In the regression equation, y = 49.56 + 0.97x, the slope is ___.

Suppose for a given data set the regression equation is: y = 54.78 + 1.45x, and the point (0.00, 24.78) is in the data set. The residual for this point is ___.

Regression output from Excel software directly shows the regression equation.

The process of constructing a mathematical model or function that can be used to predict or determine one variable by another variable is called regression analysis.

If there is positive correlation between two sets of numbers, then ___.

Which of the following assertions is true about the regression line?

For the following scatter plot and regression line, at x = 35 the residual is ___.

According to the following graphic, X and Y have ___.

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

The total of the squared residuals is called the ___.

If there is perfect negative correlation between two sets of numbers, then ___.

The difference between the actual y value and the predicted y value found using a regression equation is called the residual.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Categorical Versus Categorical: Tests

Filters

Exam 14: Linear Correlation and Simple Linear Regression Analysis

A researcher has developed the regression equation y = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, Sxx = 89.333, and Se = 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ___.

According to the following graphic, X and Y have ___.

In regression, the predictor variable is called the dependent variable.

The numerical value of the coefficient of correlation must be ___.

The equation of a regression line is . Use the data below to determine the standard error of the estimate.

In the regression equation, y = 49.56 + 0.97x, the slope is ___.

Suppose for a given data set the regression equation is: y = 54.78 + 1.45x, and the point (0.00, 24.78) is in the data set. The residual for this point is ___.

Regression output from Excel software directly shows the regression equation.

The process of constructing a mathematical model or function that can be used to predict or determine one variable by another variable is called regression analysis.

If there is positive correlation between two sets of numbers, then ___.

Which of the following assertions is true about the regression line?

For the following scatter plot and regression line, at x = 35 the residual is ___.

According to the following graphic, X and Y have ___.

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

The total of the squared residuals is called the ___.

If there is perfect negative correlation between two sets of numbers, then ___.

The difference between the actual y value and the predicted y value found using a regression equation is called the residual.

Introduction to Statistics

Organizing and Visualizing Data

Descriptive Statistics

Gathering Data

Probability

Decision Analysis and Expected Value

Discrete Probability Distributions

Continuous Distributions

Sampling Distributions

Confidence Intervals

Hypothesis Testing for Single Populations

Hypothesis Testing for Two Populations

Analysis of Variance Anova

Categorical Versus Categorical: Tests

Filters

A researcher has developed the regression equation y = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, S_xx= 89.333, and S_e= 3.44. The researcher wants to test if the slope is significantly positive, and he chooses a significance level of 0.05. The observed t value is ___.