For a particular red wine, the following data show the auction price for a 750-milliliter bottle and the age of the wine in June of 2016. Simple Regression - Price($) vs. Age (years) Dependent variable: Price ($) Independent variable: Age (years) Linear model: Y = a + b*X Number of observations: 10 Coefficients Least Squares Standard T Parameter Estimate Error Statistic P-Value Intercept 9.02155 28.6305 0.315103 0.7607 Slope 6.952 0.879338 7.90595 0.0000 Analysis of Variance Source Sum of Squares Df Mean Square F-Ratio P-Value Model 26683.2 1 26683.2 62.50 0.0000 Residual 3415.23 8 426.904 Total (Corr.) 30098.4 9 Correlation Coefficient = 0.941558 R-squared = 88.6531 percent R-squared (adjusted for d.f.) = 87.2348 percent Standard Error of Est. = 20.6616 Mean absolute error = 14.9827 a. What is the relation between price and age based on the scatterplot and correlation coefficient? b. Interpret the intercept and slope? c. Predict the Price for a 750-milliliter bottle with the age (i) Age = 32 (ii) Age = 52 Is there any issue with any of the prediction? Explain your answe