54.The regression sum of squares (SSR) is 83.6. Which of the following must be true? A)The correlation coefficient is 0.95. B)The slope of the regression line is positive C)The error sum of squares (SSE) is larger than or equal to 16.4 D)The total sum of squares (SST) is larger than or equal to 83.6.
52 55.In a regression problem the following pairs of (x, y) are given: (-2, 4), (-1, 1), (0, 0), (1, 1) and (2, 4). What does this indicate about the value of coefficient of determination? True-False Questions 56.The coefficient of determination is a statistical test of the fit of linear regression. 57.In general, increasing the variation of X will lead to a higher coefficient of determination. 58.The width of the confidence interval estimate for the average value of Y does not depend on the standard error of the estimate. 59.If the correlation coefficient is greater than 0.5 then the slope of the simple regression model is greater than 1. 60.If the correlation coefficient is greater than 0.5 then the coefficient of determination 2Rfrom a simple regression model is greater than 0.25. 61.Suppose that for two random variables, X and Y, we test 0:H= 0 against a two-sided alternative, and we are unable to reject the null hypothesis. We could therefore conclude that there is no relationship between Xand Y. 62.The coefficient of determination is the positive square root of the coefficient of correlation. 63.The regression sum of squares (SSR) can never be greater than the total sum of squares (SST). 64.The smaller the sample size, the smaller the standard error of estimate. 65.The coefficient of determination only takes on positive values.
53 Short Answer and Applied Questions THE NEXT SEVEN QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a regression analysis are listed below but, unfortunately, some values as identified by asterisks are missing. 66.Calculate the coefficient of determination 67.Determine the mean square error 68.Determine the standard error of estimate 69.Calculate the regression sum of squares 70.What is the value of the test statistic F? 71.Calculate the slope coefficient. 72.What is the p-value associated with the independent variable age? 73.How would you slope coefficient1b?
- Fall '19