If the coefficient of determination is a positive value, then the regression equation

Related MCQs

• Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained. $$$ \hat{y} = 31.9 - 0.34x$$ Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would:
• This question is related to questions 4 and 21 above. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: $$$ \hat{y} = -0.0127 + 0.0180x$$ Another guy, his name Dudley, has the regression equation written on a scrap of paper in his pocket. Dudley goes out drinking and has 4 beers. He calculates that he is under the legal limit (0.08) so he decides to drive to another bar. Unfortunately Dudley gets pulled over and confidently submits to a road-side blood alcohol test. He scores a blood alcohol of 0.085 and gets himself arrested. Obviously, Dudley skipped the lecture about residual variation. Dudley’s residual is:
• The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: $$$\hat{y} = -0.0127 + 0.0180x$$ The above equation implies that:
• If the correlation coefficient is a positive value, then the slope of the regression line
• In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is
• If the coefficient of determination is equal to 1, then the correlation coefficient
• If the coefficient of determination is 0.81, the correlation coefficient
• The data are the same as for question 4 above. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: $$$ \hat{y} = -0.0127 + 0.0180x$$ Suppose that the legal limit to drive is a blood alcohol content of 0.08. If Ricky consumed 5 beers the model would predict that he would be:
• A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: $$$ \hat{y} = 50,000 - 8X$$ The above equation implies that an
• Regression analysis was applied between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. The following regression function was obtained. $$$ \hat{y} = 5000 + 7.25x$$ If the advertising budgets of two branches of the corporation differ by $30,000, then what will be the predicted difference in their sales?