Question 1

When the actual values y of a dependent variable and the corresponding predicted values   are the same, the standard error of the estimate will be 1.0.

Accepted Answer

A) True 
 B)False

Question 2

Sunshine and Melanoma
A medical researcher wanted to examine the relationship between the amount of sunshine (x) in hours, and incidence of melanoma, a type of skin cancer (y).As an experiment he found the number of melanoma cases detected per 100,000 of population and the average daily sunshine in eight counties around the country.These data are shown below.
  
-{Sunshine and Melanoma Narrative} Determine the least squares regression line.

Accepted Answer

The answer of Sunshine and Melanoma
A medical researcher wanted to...

Question 3

Theatre Revenues
A financier whose specialty is investing in stage productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those plays whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the play for ten recently staged plays.
  
-{Theatre Revenues Narrative} Estimate the gross revenue of a play if the two highest paid performers received 6 million dollars.

Accepted Answer

The answer of Theatre Revenues
A financier whose specialty is investing...

Question 4

Oil Quality and Price
Quality of oil is measured in API gravity degrees--the higher the degrees API, the higher the quality.The table shown below is produced by an expert in the field who believes that there is a relationship between quality and price per barrel.
   A partial Minitab output follows:
        
-{Oil Quality and Price Narrative} Use the predicted values and the actual values of y to calculate the residuals.

Accepted Answer

The residuals @#IMG-DLM& are: 0.014,-0.1

Question 5

Wayne Newton Concert
At a recent Wayne Newton concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year.The following data were collected:
   An Excel output follows:  
-{Wayne Newton Concert Narrative} Estimate with 95% confidence the average number of concerts attended by all 45 year-old individuals.

Accepted Answer

2.658 ± 0.

Question 6

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

Accepted Answer

A)  -0.60 
B)  -0.36 
C)  0.36 
D)  0.77 
A)  -0.60 
B)  -0.36 
C)  0.36 
D)  0.77

Question 7

If the error variable   is normally distributed, the test statistic for testing H0: $\beta$1 = 0 has a Student t-distribution with n - 2 degrees of freedom.

Accepted Answer

A) True 
 B)False

Question 8

If the coefficient of determination is 0.975, then which of the following is true regarding the slope of the regression line?

Accepted Answer

A)  All we can tell is that it must be positive. 
B)  It must be 0.975. 
C)  It must be 0.987. 
D)  Cannot tell the sign or the value. 
A)  All we can tell is that it must be positive. 
B)  It must be 0.975. 
C)  It must be 0.987. 
D)  Cannot tell the sign or the value.

Question 9

In regression analysis, if the coefficient of determination is 1.0, then:

Accepted Answer

A)  the sum of squares for error must be 1.0 
B)  the sum of squares for regression must be 1.0 
C)  the sum of squares for error must be 0.0 
D)  the sum of squares for regression must be 0.0 
A)  the sum of squares for error must be 1.0 
B)  the sum of squares for regression must be 1.0 
C)  the sum of squares for error must be 0.0 
D)  the sum of squares for regression must be 0.0

Question 10

Movie Revenues
A financier whose specialty is investing in movie productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those movies whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the movie for ten recently released movies.
  
-{Movie Revenues Narrative} Estimate with 95% confidence the average gross revenue of a movie whose top two stars earn $5.0 million.

Accepted Answer

45.65@#IMG-DLM& 1.54.Thus, LCL

Question 11

The confidence interval estimate of the expected value of y for a given value x, compared to the prediction interval of y for the same given value of x and confidence level, will be:

Accepted Answer

A)  wider. 
B)  the same. 
C)  narrower. 
D)  impossible to know. 
A)  wider. 
B)  the same. 
C)  narrower. 
D)  impossible to know.

Question 12

The graph of a confidence interval for the expected value of y is represented by two parallel lines, one on either side of the regression line.

Accepted Answer

A) True 
 B)False

Question 13

Theatre Revenues
A financier whose specialty is investing in stage productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those plays whose stars are less well known.To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the play for ten recently staged plays.
  
-{Theatre Revenues Narrative} Draw a scatter diagram of the data.Comment on whether it appears that a linear model might be appropriate.

Accepted Answer

@#IMG-DLM& It appears that a l

Question 14

A regression analysis between sales (in $) and advertising (in $) resulted in the following least squares line:   .This implies that an increase of $1 in advertising is associated with an increase of $60 in sales.

Accepted Answer

A) True 
 B)False

Question 15

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

Accepted Answer

A)  The standard error of estimate. 
B)  The coefficient of determination. 
C)  The t-test of the slope. 
D)  All of these choices are true. 
A)  The standard error of estimate. 
B)  The coefficient of determination. 
C)  The t-test of the slope. 
D)  All of these choices are true.

Question 16

If the standard error of estimate  = 20 and n = 10, then the sum of squares for error, SSE, is:

Accepted Answer

A)  400 
B)  3,200 
C)  4,000 
D)  40,000 
A)  400 
B)  3,200 
C)  4,000 
D)  40,000

Question 17

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

Accepted Answer

A) True 
 B)False

Question 18

The symbol for the population coefficient of correlation is:

Accepted Answer

A)  r 
B)   
C)  r2 
D)  2 
A)  r 
B)   
C)  r2 
D)  2

Question 19

Statisticians have shown that sample y-intercept b0 and sample slope coefficient b1 are unbiased estimators of the population regression parameters $\beta$0 and $\beta$1, respectively.

Accepted Answer

A) True 
 B)False

Question 20

To create a deterministic model, we start with a probabilistic model that approximates the relationship we want to model.

Accepted Answer

A) True 
 B)False

When the actual values y of a dependent variable and the corresponding predicted values are the same, the standard error of the estimate will be 1.0.

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

If the coefficient of determination is 0.975, then which of the following is true regarding the slope of the regression line?

In regression analysis, if the coefficient of determination is 1.0, then:

The confidence interval estimate of the expected value of y for a given value x, compared to the prediction interval of y for the same given value of x and confidence level, will be:

The graph of a confidence interval for the expected value of y is represented by two parallel lines, one on either side of the regression line.

A regression analysis between sales (in $) and advertising (in $) resulted in the following least squares line: .This implies that an increase of $1 in advertising is associated with an increase of $60 in sales.

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

If the standard error of estimate = 20 and n = 10, then the sum of squares for error, SSE, is:

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

The symbol for the population coefficient of correlation is:

Statisticians have shown that sample y-intercept b₀ and sample slope coefficient b₁ are unbiased estimators of the population regression parameters $\beta$ ₀ and $\beta$ ₁, respectively.

To create a deterministic model, we start with a probabilistic model that approximates the relationship we want to model.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters

Exam 16: Simple Linear Regression and Correlation

When the actual values y of a dependent variable and the corresponding predicted values are the same, the standard error of the estimate will be 1.0.

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

If the error variable is normally distributed, the test statistic for testing H0: β\betaβ 1 = 0 has a Student t-distribution with n - 2 degrees of freedom.

If the coefficient of determination is 0.975, then which of the following is true regarding the slope of the regression line?

In regression analysis, if the coefficient of determination is 1.0, then:

The confidence interval estimate of the expected value of y for a given value x, compared to the prediction interval of y for the same given value of x and confidence level, will be:

The graph of a confidence interval for the expected value of y is represented by two parallel lines, one on either side of the regression line.

A regression analysis between sales (in $) and advertising (in $) resulted in the following least squares line: .This implies that an increase of $1 in advertising is associated with an increase of $60 in sales.

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

If the standard error of estimate = 20 and n = 10, then the sum of squares for error, SSE, is:

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

The symbol for the population coefficient of correlation is:

Statisticians have shown that sample y-intercept b0 and sample slope coefficient b1 are unbiased estimators of the population regression parameters β\betaβ 0 and β\betaβ 1, respectively.

To create a deterministic model, we start with a probabilistic model that approximates the relationship we want to model.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters

Statisticians have shown that sample y-intercept b₀ and sample slope coefficient b₁ are unbiased estimators of the population regression parameters $\beta$ ₀ and $\beta$ ₁, respectively.