A high school student in Boston, MA was an avid fan of horses and wished to own one in the future. He was interested in examining whether the age and height of a horse would be positively correlated with its price. He conducted two-stage cluster sampling whereby he randomly selected several local ranches and then randomly selected horses within each ranch. For each horse, he recorded its age (Age) in years, height (Height) in hands, and price (Price) in US dollars. 1. If the high school student had to pick one predictor of the two variables to use for predicting price, which should the student use? Substantiate your response with at least two pieces of evidence. The student should choose height. Not only is the magnitude of the correlation coefficient larger (0.44 > 0.12), but the correlation coefficient is statistically significant (0.81 vs. 0.009) with 95% confidence. 2. What is the null hypothesis for the first R output? H0: <= 0