Question

Select the answer that correctly identifies how many of the following statements are true for a...

Select the answer that correctly identifies how many of the following statements are true for a simple linear regression model. I) It has one independent and one dependent variable. II) It describes a straight line relationship between the two variables. III) It has no error term. IV) The slope parameter and the correlation coefficient will have the same sign.
10x10.gif
10x10.gif
15x15.gif
15x15.gif
10x10.gif A 10x10.gif Only one of the statements is true.
B Exactly two of the statements are true.
C Exactly three of the statements are true.
D All four of the statements are true.
0 0
Add a comment Improve this question Transcribed image text
Answer #1

It has one dependent and 1 independent variable - True

It describes a straight line relationship between the 2 variables - True

It has no error term - False

The slope parameter and the correlation co-efficient will have the same sign - True

Therefore OPTION C- Exactly three of the statements are true.

Add a comment
Know the answer?
Add Answer to:
Select the answer that correctly identifies how many of the following statements are true for a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Which of the following statements regarding regression and correlation are true? (There may be more than...

    Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.) a. If the linear correlation between two variables is 0, then there is no relationship between the two variables. b. When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0. c. The average error between the actual values and the predicted values of a least squares line...

  • Which of the following statements regarding regression and correlation are true? (There may be more than...

    Which of the following statements regarding regression and correlation are true? (There may be more than one correct answer.) a. A value of the linear correlation, r, near -1 means the data is tightly bundled around a line, and predictions within the scope of data are very reliable. b. When the slope of a linear regression equation is near 0, then the linear correlation between the two variables must also be near 0. c. The average error between the actual...

  • Part I: Determine whether each of the following statements is TRUE or FALSE, and write a...

    Part I: Determine whether each of the following statements is TRUE or FALSE, and write a short explanation for your answer The mean and median are always equal to each other and can never be different. The median and mode must always be equal and can never be different. The expected value of a random variable is a weighted average of outcomes, where each outcome is weighted by its probability of occurrence. Regressions are used to estimate the relationship between...

  • 1. State whether the following statements are true or false. _1. The value of b in...

    1. State whether the following statements are true or false. _1. The value of b in the regression equation is known as the intercept. 2. The more the points are separated in a scatter diagram, the greater the degree of association between the variables. 3. The main reason for expressing the relationship between two variables through a regression equation is to be able to estimate the value of one variable when the value of another is known. 4. The closer...

  • 4) Which of the following statements regarding the correlation coefficient is not true?

    Which of the following statements regarding the correlation coefficient is not true? A) The correlation coefficient has values that range from-1.0 to 1.0 inclusive. B) The correlation coefficient measures the strength of the linear relationship between two numerical variables C) A value of 0.00 indicates that two variables are perfectly linearly correlated D) All of these are true statements

  • The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...

    The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is provided. Y Dependent Variable 15 17 23 17 I. The least-squares estimate of the slope equals: II. The least-squares estimate of the intercept equals: III. If the independent variable increases by 2 units, the dependent variable is expected to a. decrease by $300 b. decrease by $3000 c. decrease by $3 d. decrease by $2 e. none of the above      The letter corresponding...

  • The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is...

    The following information regarding a dependent variable (Y in $1000) and an independent variable (X) is provided. Y Dependent Variable 15 17 23 17 I. The least-squares estimate of the slope equals: II. The least-squares estimate of the intercept equals: III. If the independent variable increases by 2 units, the dependent variable is expected to a. decrease by $300 b. decrease by $3000 c. decrease by $3 d. decrease by $2 e. none of the above      The letter corresponding...

  • Answer both questions please true or false 16. The slope of the simple linear regression equation...

    Answer both questions please true or false 16. The slope of the simple linear regression equation represents the average change in the value of the dependent variable per unit change in the independent variable (X). True/False 19. When using simple regression analysis, if there is a strong correlation between the independent and dependent variable, then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

  • Determine whether each of the following statements regarding the correlation coefficient is true or false. The...

    Determine whether each of the following statements regarding the correlation coefficient is true or false. The correlation coefficient equals the proportion of times that two variables lie on a straight line. The correlation coefficient will be +1.0 if all the data points lie on a perfectly horizontal straight line. The correlation coefficient measures the strength of any relationship that may be present between two variables. The correlation coefficient must always lie between –1.0 and +1.0.

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT