********************** 27. Which of the following is (are) TRUE if the test on the linear dependence of Y on X showed significant results? 1. We may just proceed with the ordinary ANOVA on the variable. response II. There is an expected gain in efficiency in using ANACOVA over ANOVA. A. I only D. Neither I nor II B. Il only C. Both I and II
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- What type of statistical test are you conducting if h1 states that the parameter is greater than the value claimed in h0? a) left-tailed b) right-tailed c) two-tailed d) dove-tailedWhich of the following is not one of the statistical assumptions behind linear regression? a. The residuals should not be autocorrelated. b. The variance of Y for all combinations of X variable values should be constant. c. The X variables should be normally distributed. d. The residuals should be normally distributed.Which of the following is/are true if the coefficient of determination between the response and the predictor variables is 81 percent based on a random sample of size n i. the pearson's sample correlation coefficient is +0.9 ii. this means that 19 percent of the total variation in the response variable remains unexplained by tge simple linear regression model that uses the given predictor variable iii both i and ii iv neither i and ii
- The Pearson correlation between X1 and Y is r = 0.40. When a second variable, X2, is added to the regression equation, we obtain R2 = 0.64. How much variance for the Y scores is predicted by using both X1 and X2 as predictor variables? 0.40 or 40% 0.64 or 64% 0.48 or 48% 0.16 or 16%3. Which of the following statements is true with respect to a simple linear regression model? a. The percent of variation in the dependent variable that is explained by the regression model is equal to the square of the correlation coefficient between the x and y variables b. If the correlation coefficient between the x and y variables is negative, the sign on the regression slope coefficient will also be negative c. If the correlation between the dependent and the independent variable is determined to be significant, the regression model for y given x will also be significant d. All of the above are trueWhich of the following statements is NOT true? a.If the correlation coefficent, rr, is negative, then the slope of the regression line must always be negative. b.For variables x and y, the value of the correlation coefficent will not change c.if the units of x and y are changed, (i.e., if both x and y are changed from say inches to meters) d.If r≠0r≠0 , then a significant linear correlation will exist between the two variables e.The value of the correlation coefficient must be within the interval: −1≤r≤1