Question
For testing the significance of overall regression the test to be used is
The correct answer is
F Test
The question asks which statistical test is used to assess the significance of overall regression. The correct option is the F Test. Let's break down why this is the correct choice and rule out other options.
- Understanding the F Test:
- The F Test is used in linear regression to evaluate whether there is a significant relationship between the dependent variable and the set of independent variables. In simpler terms, it helps determine if the overall regression model is a good fit for the data.
- The F statistic tests the null hypothesis that all regression coefficients are equal to zero, versus the alternative hypothesis that at least one coefficient is different from zero.
- The formula for the F statistic in regression is:
- where \(MS_{Regression}\) is the mean square of the regression, and \(MS_{Error}\) is the mean square of the error.
- Ruling Out Other Options:
- t Test: The t test is generally used to test the significance of individual regression coefficients, not the overall regression model.
- \(\chi^2\) Test: This test is used for categorical data and tests for independence between variables, not for regression significance.
- d Test: This is not a commonly used test for regression analysis. It seems irrelevant in this context.
Therefore, the F Test is the appropriate choice for testing the significance of the overall regression, making option F Test correct.
Was this answer helpful?
Important Questions from Correlation and Regression
- Including relevant lagged values of the dependent variable on the right hand side of a regression equation could lead to which one of the following ?
- If OLS is used in the presence of auto-correlation, which of the following will be likely consequences ?
i. Coefficients estimates may be misleading.
ii. Hypothesis tests could reach the wrong conclusions.
iii. Forecasts made from the model could be biased.
iv. Standard errors may be inappropriate. - Regression analysis is of particular interest
- Which of the following can be linked with those providing method for estimating black money in India ?
I. Kaldor’s approach
II. NIPFP method
III. O.P. Chopra’s method
IV. Arjun Sengupta
Codes : - Which of the following statements are true about simple bivariate linear regression ?
(a) The b coefficient is a slope of the regression line.
(b) The b coefficient denotes change in Y, when X changes by 1 unit.
(c) The errors of prediction have a mean and variance of zero.
(d) If the b coefficient is significant, the product moment correlation between X and Y is also significant.
Need Expert Advice?
