Sarah's parents are concerned that she seems short for her age. Their pediatrician has the following record of her height: 1. Estimate the correlation coefficient between age and height. 2. Compute the slope and intercept coefficients pertaining to the OLS estimator. With that information, state the line equation those estimates imply (Hint: Recall that the OLS estimated model is described by the equation ^0+^1Xi) 3. Use the equation obtained in the previous question to predict the height corresponding to 40 and 72 months of age. 4. According to the regression line that you estimated, how much does Sarah grew each month, on average? Consider that the growth of the average kid between 4 and 5 years old is 0.5cm per month. Is Sarah growing slower or faster than this?.