Quiz 2(JC) Name: Stat 1350 Date: Show all work and formulas to get credit. Show all work in the boxes. 1. An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. Here is a sample of 8 cars of this model and collected information on ages (in years) and prices ( in hundreds of dollars). Find mean, standard deviation of each column. Then, draw a scatter plot and find correlation and the L-S regression line equation for the following data. Use formulas to finish the problem. Complete the following table with appropriate labels. Age Price 8 18 3 94 6 50 9 21 2 145 5 40 6 37 9 99 i) Mean of X : ii) Mean of Y: iii) Standard deviation of X: iv) Standard deviation of Y: v) Correlation using the formula: Hvi) Least-squares Regression equation to predict Y : Show Slope: Intercept: Linear Model: vii) Predict the price when Age 7 and Age 15. Find the corresponding residuals. Explain your answers. table Prediction at Age 7: Residual: Prediction at Age 15: Iaware of the correlate Residual: viii) Graph your least squares regression line with proper labels by showing two points on the line. What is the wind of slope in the given disease tale when the whe