2. Investigators are interested in evaluating several potential predictors with the outcome weight (Ibs). Specifically, this problem investigates the relationship between % calories consumed as fat and weight. Refer to the provided data set (filename similar to "2022 ....caloriepercent.xIsx") which lists the data of 15 men. Variables: Id: participant Id calpercent : the percentage of dietary calories consumed as fat for one month by each individual. weight: the weight of each individual in pounds. 2a. [1.5 points / Construct a scatterplot with x= colpercent and y=weight. Briefly describe any important features about the relationship between these quantities. [3 sentences or less are appreciated] 2a. ANSWER 2b. [3.5 points ) Calculate r, the sample correlation. Conduct a hypothesis test for the correlation. Show all the usual steps for hypothesis testing, as appropriate, including stating the hypotheses in words and symbols. Include pertinent STATA code and output and/or calculations. 2b. ANSWER 2c. [2 points) Calculate the equation of the least-squares regression line for these data. Calculate the predicted weight for a man from this population that consumes 20% of their calories from fat. (You do not need to check any assumptions, conduct a hypothesis test or interpret anything. Just state the equation of the regression line and state the predicted weight as requested.} 2c