2. Given below is the scatterplot of months (starting January of 2022) and the average temperature in CA in degrees fahrenheit. Us 190 Average Temperature in CA ( F] -80 -60 .40 -20 18 Month (starting January of 2022) a. Classify the strength of the association. Explain. b. Use the scatterplot to predict the average temperature in CA in April of 2023 (which corresponds to the x-value 16) c. Your friend believes that a scatterplot with a linear association (where points follow a path that is a line) is the easiest to make predictions from. Explain why your friend is mistaken.4. Below is data from a local beach that shows the number of ice cream sandwiches sold and the number of drownings on various days during the year. Number of ice cream sandwiches sold Number of drownings 57 7' 7'9 55 51 11 E E 23 2 4 U 2 3D 23 3 a. Compute the linear correlation coefcient using desmos. Write the function you used below. Based on the r-value from a, what is the strength and direction of the relationship. Explain. Do you believe that higher ice cream sandwich sales cause more drownings on this beach? It not, what is another possible variable that could explain this relationship? 2. Given is a scatterplot of average rainfall and number of plant species for 10 random regions. The line of best t is shown. . The equation of the line of best t is 33: 20.25.: + 93.215. Using the equation, identify the slope and y -intercept of the line of best t. Interpret the slope and yintercept in context. Biologists expect the average rainfall to be cut in half in the next year. By how much should they expect the number of plant species to change? Use the line of best t to predict the number of plant species in a region that gets 60 inches of rainfall on average. In the region that gets 14 inches of rainfall on average, 450 different plant species were observed by biologists. Compute the residual for this region. Based on the residual you found in e, where is the point relative to the line 01' best t? Explain. 3. In the Spacelab Life Sciences 2 payload, 15 male rats were sent to space. Upon their return, the red blood cell mass (in milliliters) of rats was determined. A control group of 14 male rats was held under the same conditions (except no in space flight) as the space rats, and their red blood cell mass was also determined when the space rats returned. The space rats had a sample mean of 7.881 ml and a sample standard deviation of 1.017 ml. The control group had a sample mean of 8.430 ml and sample standard deviation of 1.005 ml. The researchers believe that space travel has an effect on red blood cell mass in rats and therefore claimed that there was a difference between the average red blood cell mass in the two groups. Assume the populations from which the samples were taken are normally distributed. Use 27 degrees of freedom. Round all calculated values to three decimal places and show all four steps of a hypothesis test to earn full credit