Question 3 You are in charge of a literature review on the role of reflectivity (or albedo) on the ambient temperature of urban areas. You observe that most studies were done in cities located at lower latitudes. Using publicly available data, you build a database for northern cities (see below). Is there also a relationship between peak temperature increases and decreases in albedo for northern cities? (6 points) Please carry at least three (3) decimal places in all your calculations. Decrease Increase temperature (dt) albedo (ia) (dt - dt ) (dt - dt )2 (ia - ta) (ia - ia )2 (at - dt )(ia - ia) 1 0.07 -1.08 1.166 -0.15 0.023 0.162 1.5 0.14 -0.58 0.336 -0.08 0.006 0.046 1.5 0.2 -0.58 0.336 -0.02 0.000 0.012 2.5 0.3 0.42 0.176 0.08 0.006 0.034 3 0.35 0.92 0.846 0.13 0.017 0.120 0.25 0.92 0.846 0.03 0.001 0.028 Sums 12.5 1.31 0.00 3.706 0.00 0.053 0.402a) Give the joint variability (E(x - x)(y - y) ) (0.7 points) Answer:b) Give the variance of a first variable (0.7 points) Answer:c) Give the variance of the second variable (0.7 points) Answer:d) Using the formula sheet provided with the final exam, give the formula number used to calculate the test statistic. (0.7 points) Answer:\ff) Give the critical value (1 points) Answer:g) Do you accept or do you reject Ho? (1.2 points) O a. You accept Ho. There is no link between peak temperature increases and decreases in albedo for northern cities. O b. You reject Ho. There is a link between peak temperature increases and decreases in albedo for northern cities. O c. You accept Ho. There is a link between peak temperature increases and decreases in albedo for northern cities. O d. You reject Ho. There is no link between peak temperature increases and decreases in albedo for northern cities