Question

Consider the following pairs of points for the variables X nd Y. Which one of the following represents the number of degrees of freedom that would be used in a test of hypothesis that the slope of the regression line between Y and X is different from zero?

x 0112345667 y66 745 23 011 From the data one obtains: SSG = 54.5, SS, = 54.5, SS, = -50.5, s, =.98148

0 0
Add a comment Improve this question Transcribed image text
Answer #1

n : number of pairs of data =10

number of degrees of freedom that would be used in a test of hypothesis that the slope of the regression line between Y and X is different from zero = n-2

Therefore,

Number of degrees of freedom = n-2 =10-2=8

Number of degrees of freedom = 8

Add a comment
Know the answer?
Add Answer to:
Consider the following pairs of points for the variables X nd Y. Which one of the...
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
  • 12) Which of the following statements is false regarding the t-test for the regression slope? A....

    12) Which of the following statements is false regarding the t-test for the regression slope? A. The degrees of freedom for the t test statistic are based on the sample size. -0 is the null hypothesis Rejecting the null hypothesis indicates that there is no significant linear relationship between the two variables. C. None of the above.

  • Multicollinearity occurs when... Select one: independent variables are perfectly correlated dependent variables are perfectly correlated an...

    Multicollinearity occurs when... Select one: independent variables are perfectly correlated dependent variables are perfectly correlated an independent variable is perfectly correlated with the dependent variable the error term is perfectly correlated with the intercept All/Any of the above. Which of the following statements is true regarding an F-Test? Select one: It is a joint hypothesis test. The null hypothesis states the all slope coefficients in the population regresion model are equal to zero. It tests whether or not one's regression...

  • Table 4             Regression Model             Y = α X1 + β X2             Parameter

    Table 4             Regression Model             Y = α X1 + β X2             Parameter Estimates                                     Coefficient        Standard Error             Constant               12.924                  4.425             X1                         -3.682                 2.630             X2                        45.216                12.560             Analysis of Variance             Source of         Degrees            Sum of             Mean             Variation           of Freedom       Squares            Square             F             Regression       XXX                 4,853                2,426.5             XXX             Error                 XXX                 485.3    Find above partial statistical output...

  • Below are the values for two variables x and y obtained from a sample of size...

    Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data. 18 25 10 30 46 15 18 15 The x and y data are sample data from the population of X and Y to compute b1 as an estimate of the population slope parameter β1. The sample statistic b1 is the estimator of the population parameter β1. The estimated measure of dispersion...

  • 2. [40 points) Consider the following pairs of observations: X 5 3 2 6 6 0...

    2. [40 points) Consider the following pairs of observations: X 5 3 2 6 6 0 1 1 7 5 у 3 3 1 4 1 (a) (15 points] Use the method of least squares to fit a straight line to the seven data points in the table. (b) [5 pointsSpecify the null and alternative hypotheses you would use to test whether the data provide sufficient evidence to indicate that x contributes infor- mation for the (linear) prediction of y....

  • Use the following linear regression equation to answer the questions. x1 = 1.5 + 3.4x2 – 8.3x3 + 2.3x4 (a) Which variable is the response variable? Which variables are the explanatory variables? (b...

    Use the following linear regression equation to answer the questions. x1 = 1.5 + 3.4x2 – 8.3x3 + 2.3x4 (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant? x2 coefficient? x3 coefficient? x4 coefficient? (c) If x2 = 1, x3 = 8, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.) (d) Explain how...

  • Given below are four observations collected in a regression study on two variables x (independent variable)...

    Given below are four observations collected in a regression study on two variables x (independent variable) and y (dependent variable). *NOOO a. Develop the least squares estimated regression equation. b. At 95% confidence, perform at test and determine whether or not the slope is significantly different from zero. C. Perform an F test to determine whether or not the model is significant. Let a = 0.05. d. Compute the coefficient of determination.

  • Which one of the following answers is correct? If this null hypothesis H0: B1 = B2...

    Which one of the following answers is correct? If this null hypothesis H0: B1 = B2 = B3 = 0 is rejected, the interpretation is: a. There is no linear relationship between Y and any of the 3 independent variables b. There is a regression relationship between Y and at least one of the 3 independent variables c. All 3 independent variables have a slope of zero All 3 independent variables have equal slopes d. There is a regression relationship...

  • Question 7 3 pts Suppose that you have 50 observations on the variables Y and X....

    Question 7 3 pts Suppose that you have 50 observations on the variables Y and X. If the sample correlation coefficient is 0.5 (r=0.5), and you want to test the null hypothesis that the true population correlation coefficient (rho) is equal to zero, then the test statistic associated with this null hypothesis is: o 5 04 O2 O 3 Question 8 3 pts Suppose you estimate a multiple regression model using OLS and the coefficient of determination is very high...

  • 1. Consider a linear regression model of y on K regressors and an intercept. (i) Describe...

    1. Consider a linear regression model of y on K regressors and an intercept. (i) Describe the Breusch-Pagan test of heteroskedasticity. (ii) What are the consequences for OLS estimation and testing of rejecting the null hypothesis of the BP test? (iii)What can you say about the form of Heteroskedasticity function implied by BP? What if it is wrong? (iv) Describe the test of heteroskedasticity proposed by White. (v) When there is only one regressor (K=1), give the expression for White’s...

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