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
Ans : FALSE
(X variable values does not help explain the Y variable values.)
Suppose we do not reject the t-test null hypothesis of H0: β1 = 0 for a...
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?
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.x15173221210y81617161717Find 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):
please help with t test snd hypothesesis If we reject a null hypothesis at the 1% significance level, then we have hypothesis is false. evidence that the null For this problem create your own t-test and state your null hypothesis, alternative hypothesis Draw out the normal distribution curve and the critical region. You can assume a two tail test. Label the critical region. strong weak non existent
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
Consider the model yi = β0 +β1X1i +β2X2i +ui . We fail to reject the null hypothesis H0 : β1 = 0 and β2 = 0 at 5% when: a) A F test of H0 : β1 = 0 and β2 = 0 give us a p value of 0.001 b) A t test of H0 : β1 = 0 give us a p value of 0.06 and a t test of H0 : β2 = 0 a p value...
(e) Suppose that we reject the null hypothesis, what does that imply about OLS estimatron of the regression equation of ve? (Hint: does this problem affect unbiasedness or c ciency of OLS estimators?) (d) (10 pts bonus) Solve the problem by completely specifying the regression model. 630 pts) Suppose & is the residual of the following regression (a) If we are also running the regression what OLS assumption of time series data we suspect is violated (what time series prob-...
1.Suppose that the standard two-sided t test for the null hypothesis β2 = 0 results in a p-value of 0.43 . What can you conclude? a)There is not enough evidence to say that β2=0. b)There is not enough evidence to say that β2≠0. c)There is enough evidence to say that β2=0. d)There is enough evidence to say that β2≠0. 2.We have a sample with means y = 5 and x = 2. If least squares regression of y on x results...
If you perform a hypothesis test on the population slope Parameter (β1) in regression analysis and reject the Null hypothesis: Ho: β1= 0. Your conclusion would be: A.) The least squares sample regression equation should not be used because there is not sufficient evidence of a relationship between the independent variable and the dependent variable.. B.) The least squares sample regression equation should be used because there is sufficient evidence of a relationship between the independent variable and the dependent...
Suppose we run a two sample t-test using consumer ratings on two robotic vacuums, which are labelled "Sting-Ray" and "E-Vac," but they are actually the same model vacuum. The null hypothesis for the test is H0: μS = μE. If we reject this null hypothesis, we have evidence of brand preference among consumers of robotic vacuums. tRUE OR FALSE
When we conclude that β1 = 0 in a test of hypothesis or a test for significance of regression, we can also conclude that the correlation, ρ, is equal to ______