7. The scatterplot below shows the relationship between two random variables X and Y. COO (of o 00$ % O O (90 Q 0 0 L07 0 o o o >_ #7 0% 00 De m_ N O I l l l 0 1 2 3 (a) Is the correlation a good metric for describing the relationship between X and onr these data? Why or why not? (b) Regardless of your answer to part (a), suppose you calculated the sample correlation between X and Y and found that 1' I 70.15. Explain in one sentence what this means. (C) If, as noted in (b), 1' : 70.15 then what is the value of the correlation between 2X and 5 if? (d) Based 011 (b) draw your best approximation to the least squares regression line that ts the data above. Also, make a rough sketch of the corresponding residual plot. (The sketches do not have to be beautiful but they have to covey the correct information.)