Problem 3 (10 points) In this problem we will again examine the data on Toyota Corollas, this time using correlation and simple regression. 0 Consider the following variables: 0 Age_08_04 0 KM o Mfg_Year 0 For each variable calculate create a scatter plot with price on the yaxis and the variable on the xaxis. 0 For each variable calculate the correlation coefficient between the variable and Price. 0 For each variable run a simple regression model that uses price as the dependent variable. Summarize your results in the table provided. 0 Consider a car that is 24 months old. It is a 2002 model with 30,000 KM. Based on the regression model you developed above with the highest RE, what is the mean and standard deviation for price for these type ears? 0 Based on the probability distribution estimated above, estimate the probability a 24monthold car would sell for more than 1?,000