In a simple regression analysis for a given data set, if the null hypothesis ? = 0 is rejected, then the null hypothesis ? = 0 is also rejected. This statement is ___________ true. always never sometimes
Ans:
The test statistic t for regression slope and population correlation cofficient are equivalent,so if null hypothesis for slope is rejected,it will also be rejected for correlation cofficient always.
True,always
In a simple regression analysis for a given data set, if the null hypothesis ? =...
The null hypothesis must be rejected at a 5% level of significance. The null hypothesis must be rejected at a 1% level of significance. The null hypothesis must be rejected at both a 5% and a 1% level of significance. None of the above. same set For a hypothesis testing problem with a given data set, you have rejected the null hypothesis at a 10% level of significance. For the same data set,
In a simple regression model, the value of the t-statistic, which tests the null hypothesis that the slope true slope coefficient is zero, is equal to 2. The F- statistic that tests the null hypothesis that the true coefficient of determination is zero is equal to: 4 6 O 2 0.5
Which of the following statement is true about hypothesis testing in regression analysis? A. It is to test a statement about a coefficient of a sample regression B. It is to test a statement about a parameter value for the population C. The value for null hypothesis must be 0 D. none of the above is true
In multiple regression analysis, testing the global null hypothesis that all regression coefficients are zero is based on ________.
A P-value of 0.12 is calculated on a hypothesis test with a significance level set at 0.01. Which of the following is the correct conclusion for the test? a. Claim the null hypothesis is true b. Fail to reject the null hypothesis c. Reject the null hypothesis d. Claim the alternative hypothesis is true Which of the following are not requirements for using the t-distribution for a hypothesis test concerning μ? (More than one answer may be correct.) a. Sample...
A trend in the data means that the experimenter: rejected the null hypothesis at p < .05 rejected the null hypothesis at p < .01 did not reject the null hypothesis but came close to doing so. none of the above.
You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of H0:μ=100. You chose a significance level of α=0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of μ is 104. How would you describe the result of your analysis? A) A Type 1 error was made because...
If a null hypothesis is rejected at a significance level of 1%, then we should say that it was rejected at 1%. Reporting that the null was also rejected at the 5% level of significance is unnecessary and unwise. True or false?
Suppose you conducted a simple linear regression t-test with a null hypothesis that the slope was positive. You obtained a p-value of 0.023. If you were to conduct an F-test that tested for a linear relationship between the one predictor and response what p-value would you expect to obtain?
Question 1 (-110 Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square Regression 4853 2426.5 Error 485.3 Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should be rejected not be rejected...