Question 1. (24 points) Every year, there is a hot dog eating contest that takes place in Alabama on the first Saturday of July. For this data, we use the variable year to predict the winning number of hot dogs for that year. Summary Statistics Switch Variables Statistic Year HotDog 70 Mean 2010.500 61.556 Standard Deviation 5.339 8.833 65 Sample Size Correlation 0.843 Slope 1.395 Intercept -2743.6 Scatterplot Controls 55 Show Regression Line 50 2002 2004 2006 2008 2010 2012 2014 2016 2018 a. Comment on the form of the scatterplot and the correlation between the two variables. I b. Identify the explanatory and response variables. c. Write down the equation for the estimated regression line. d. Use the regression line to predict the winning number of hot dogs for the year 2005