Some people think that the behavior of the stock market in January predicts its behavior for the rest of the year. Let the explanatory variable be the percent change in a stock market index in January. Let the response variable be the percent change in the stock market index for the entire year. You have a data set with 50 cases (where each case is a calendar year). Based on this data, you have the following statistics: mean of the x-variable: 2.75% standard devation of the x-variable: 4.48% mean of the y-variable: 8.17% standard devation of the y-variable: 22.31% correlation between the two variables: 0.655 Suppose that the mean change in January is 10.81%. What is the predicted value of the change in the stock market index for the year