8. [10 points total] The 10 data points are plotted below. Plot and label your regression line on the graph below (5 points); and interpret the intercept and slope you calculated (5 points). In Word you can copy, resize, reorient, drag and drop the following figures to assist with drawing. Use the keyboard arrows to nudge a figure/item into LSF its final placement. 10 20 30 40 50 60 Age 9. [10 points total] The variable Sex (male=0, female=1) was also available for the cases whose X and Y values are presented in the data table above, and a regression predicting Liking of Spicy Food (Y) from both Age (X) and Sex results in the following equation: P = 1.3 + 0.05Age + 1.6Sex Age now has two slopes, the "hand-calculated" slope above and the slope in this equation (which you can check in R given the R-syntax below). Why does the slope for Age (X) in this equation differ from the slope you calculated above? (3 points] And which Age slope would you prefer, and why would you prefer that slope? [2 points] Interpret the slope for Sex, in the current equation, being sure to carefully express the relevant controlling. [5 points] (Ignore the significance/insignificance of the slopes as reported by R because we will assume the data correspond to the population, whereas R's calculations presume we had a sample with only a few cases.)