Questions 1-5 are based on the following scenario. Greene and Touchstone conducted a study (n = 15) to relate birthweight (y) to the estriol level (x) of pregnant women. The data collected are plotted in the left panel of the figure below and a residual plot from the linear regression is in the right panel. 0.8 Residual 0.0 0.4 Birthweight -0.4 10 15 20 25 10 15 20 25 Estriol (mg/day) Estriol (mg/day) The following summary values are available: SIX - 62.9333, Syy = 1.41284, Sxy = 7.79867D Question 1 1 pts Calculate the coefficient of determination (r ). Round your final answer to 3 decimal places. D Question 2 1 pts Suppose that the data was rescaled so that birthweight was measure in grams instead of milligrams and a new correlation was calculated based on the rescaled data. Which of the following statements is correct? O The new correlation is the same as the old correlation divided by 1000. O The new correlation is the same as the old correlation divided by 10. The new correlation is the same as the old correlation. The new correlation is the same as the old correlation multiplied by 1000. The new correlation is the same as the old correlation multiplied by 10.D Question 3 1 pts For the simple linear regression, y = a + bx, calculate the standard error of the regression (0). Round your final answer to 3 decimal places. D Question 4 1 pts For the simple linear regression, y = a + bx, calculate the value of the slope coefficient. Round your final answer to 3 decimal places. D Question 5 1 pts Write down one assumption that appears to be violated in this regression model (in one word)