2. Tue or false, and explain briefly: (a) If the correlation coefficient is -0.80, below average values of y are associated with below-average values of x. false. If r = -0.80, (b) If y is usually less than x, the correlation coefficient between x and y will be negative.3. A realtor collects data about the rental prices of apartments in a neighborhood and their size measured in square feet. They find that the apartments have an average size of 1000 square feet, with a standard deviation of 300 square feet. The apartments have an average rental price of $1500 per month, with a standard deviation of $400. The two variables have a correlation of r = 0.5. {a} Add the point of averages to the plot below and sketch in the SD line. D 0 L0 N C) D O N a E a 3 E D c a O 1'- E h: D D. .. C Q) D: O O O '- O 0 LD 500 'l 000 1500 Size (square feet) (b) Now indicate which points on the plot have standard units in x and y that are the same sign, and which points have standard units in x and y that are different signs. Roughly speaking, how does the number of points in each group relate to the sign and magnitude of r? 4. The scatterplot below shows measurements taken of 100 crabs ofthe species Leptogra psus variegatus collected at Fremantle in Western Australia. Observations are plotted separately for males (circles) and females (triangles). The correlation between the two variables, carapace width and rear width, is r = 0.99 for males and r = 0.98 for females. 8 0 Male crabs A Female crabs no T no A T- E E. 5