Question

Use the following set of points to test the null hypothesis H0: β1=0

Use the following set of points to test the null hypothesis H0: β1=0 versus H1: β1 ≠ 0. Use the critical value method with the α=0.05 level of significance. The slope of the regression line for this data is computed to be b1=-0.13834, and the standard error of b1 is computed to be sb=0.264048.

x15173221210
y81617161717

Find the critical value(s). Round the answer to three decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

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

Add a comment
Know the answer?
Add Answer to:
Use the following set of points to test the null hypothesis H0: β1=0
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • In a one-tailed t-test, the null hypothesis is H0: population β1≥0. If the test statistic =...

    In a one-tailed t-test, the null hypothesis is H0: population β1≥0. If the test statistic = – 1.529, and the critical value you find from the t-table is 2.164, do you reject the null hypothesis?

  • 6. (4 points) Suppose n = 82. How much is σˆ 2 , the estimated variance...

    6. (4 points) Suppose n = 82. How much is σˆ 2 , the estimated variance of the error term ui? A. 0.00625 B. 0.0125 C. 0.025 D. 0.05 7. (4 points) Suppose βˆ 1 = 0.75, SE(βˆ 1) = 0.01 and n = 52. Then the 90% confidence interval for βˆ 1 would be A. [0.4224, 1.1994] B. [0.6112, 0.9112] C. [0.7336, 0.7664] D. [0.7229, 0.7661] 8. (4 points) Suppose one tested and rejected the null hypothesis H0 :...

  • Suppose we do not reject the t-test null hypothesis of H0: β1 = 0 for a...

    Suppose we do not reject the t-test null hypothesis of H0: β1 = 0 for a regression. In this case, we think there is evidence that the X variable values help explain the Y variable values. True or False

  • Q. 20 In a simple linear regression, when testing H0: β1 = 0, against H1: β1...

    Q. 20 In a simple linear regression, when testing H0: β1 = 0, against H1: β1 ≠0, failing to reject the null hypothesis means that: a. the slope of the regression line is not zero b. the relationship between x and y may be multiplicative c. there is no linear relationship between x and y d. there is a linear relationship between x and y e. None of the above

  • I need help with - d) Assuming the residuals are normally​ distributed, test Ho : β1=0 versus H1 ...

    I need help with - d) Assuming the residuals are normally​ distributed, test Ho : β1=0 versus H1 : β1 ≠ 0 at the α = 0.05 level of significance - at the bottom of the page. Thank you! For the data set shown​ below. x   y 20   98 30   95 40   89 50   85 60   72 ​(a) Use technology to find the estimates of β0 and β1. β0 ≈ b0= 112.6 ​(Round to two decimal places as​ needed.) β1...

  • 1) Suppose that you are interested in the relationship between the return rate on a stock...

    1) Suppose that you are interested in the relationship between the return rate on a stock in 2010 compared to the return rate in 2009. You believe that the return rates in both years are positively correlated. A sample of 15 stocks yields the following regression results: b0= 5.3, b1= 1.04, s= 1.79, s = 0.2163, R2 = 0.64, and MSE = 35.4. Calculate the regression sum of squares. What is the correlation coefficient for the stock returns of the...

  • A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of...

    A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of H1: µ1 > µ2. The researcher selects an α = 0.05 critical threshold. The test has 11 degrees of freedom. The researcher obtains a t-statistic of 1.67. Determine which course of action is most appropriate. Reject the null hypothesis. Do not reject the null hypothesis. Cannot determine with the information given.

  • #1 part A.) To test H0​: μ=100 versus H1​: μ≠100, a random sample of size n=20...

    #1 part A.) To test H0​: μ=100 versus H1​: μ≠100, a random sample of size n=20 is obtained from a population that is known to be normally distributed. Complete parts​ (a) through​ (d) below. (aa.) ​If x̅=104.4 and s=9.4, compute the test statistic. t0 = __________ (bb.) If the researcher decides to test this hypothesis at the α=0.01 level of​ significance, determine the critical​ value(s). Although technology or a​ t-distribution table can be used to find the critical​ value, in...

  • A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of...

    A researcher poses a null hypothesis of H0: µ1 ≤ µ2, and a research hypothesis of H1: µ1 > µ2. The researcher selects an α = 0.05 critical threshold. The test has 11 degrees of freedom. The researcher obtains a t-statistic of 1.67. Determine which course of action is most appropriate.

  • 3) Use critical values to test the null hypothesis H0: μ1 − μ2 = 20 versus...

    3) Use critical values to test the null hypothesis H0: μ1 − μ2 = 20 versus the alternative hypothesis Ha: μ1 − μ2 ≠ 20 by setting α equal to .05. How much evidence is there that the difference between μ1 and μ2 is not equal to 20?

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