Statistics

31. The principle of 'Least Squares' minimizes which of the following?

• A Sum of residuals
• B Sum of squared residuals Correct answer
• C Product of residuals
• D Absolute residuals

32. Rejecting a null hypothesis when it is actually true is known as:

• A Type I Error Correct answer
• B Type II Error
• C Standard Error
• D Power of the Test

33. If the coefficient of determination (R^2) is 0.81, what is the correlation coefficient (r) if the slope is positive?

• A 0.90 Correct answer
• B -0.90
• C 0.81
• D 0.405

34. Failing to reject a null hypothesis when it is actually false is known as:

• A Type I Error
• B Type II Error Correct answer
• C Level of Significance
• D Power of the Test

35. The correlation between rank-ordered variables is computed using:

• A Pearson correlation
• B Spearman's rank correlation Correct answer
• C Partial correlation
• D Multiple correlation

36. The probability of Type I error is also referred to as the:

• A Power of the test
• B Level of significance Correct answer
• C Confidence coefficient
• D Beta value

37. In a multiple regression model with k predictors, the degrees of freedom associated with the error/residual sum of squares are:

• A n – 1
• B n – k – 1 Correct answer
• C n – k
• D k – 1

38. The power of a statistical test is represented by:

• A Alpha
• B Beta
• C 1 – Alpha
• D 1 – Beta Correct answer

39. ANOVA (Analysis of Variance) technique is primarily used to test the equality of:

• A Several population variances
• B Several population means Correct answer
• C Several population proportions
• D Two standard deviations

40. If we want to test whether the variance of a normal population is equal to a specified value, we use:

• A Z-test
• B t-test
• C Chi-Square test Correct answer
• D F-test