Suppose that you are modelling cooling costs (y)as a function of the daily high temperature (x)for a building,using a simple linear regression model.You have data consisting of pairs of observations (x, y) over many years. Suppose that from this data you find a Pearson correlation between x and y of 0.5. If tomorrow the temperature is 3 standard deviations above the mean,how many standard deviations above the mean would you expect the cooling costs to be? 10]2 1 pts If it is true that, tomorrow, the temperature is as given in the previous problem, then the expectation that you gave is the exact cooling cost that will occur. O True O False