The gasoline consumption Z (in liters per 100km) is given as a function of the speed X (in kilometers per hour) in the following table: X (Km/h) 70 80 90 100 110 120 130 Z (l/100km) 5.5 6 7 8.5 10 12 15 1. Construct the scatter plot of this series. Is gasoline consumption proportional to speed? 2. Complete the table with the variable Y=ln(Z). Represent the scatterplot of (X,Y) in a new reference frame. What do you notice? 3. Determine the equation of the regression line of Y in X and then construct it in the second frame. Calculate the linear correlation coefficient of Y in X. Is the linear fit valid in this case? 4. Determine the amount of gasoline consumed in 100 km when the car is driven at 140 km/h. 5. Determine the speed required for the gasoline consumption to be 8 l/100km.The gasoline consumption Z (in liters per 100km) is given as a function of the speed X (in kilometers per hour) in the following table: X (Km/h) 70 80 90 100 110 120 130 Z (l/100km) 5.5 6 7 8.5 10 12 15 1. Construct the scatter plot of this series. Is gasoline consumption proportional to speed? 2. Complete the table with the variable Y=ln(Z). Represent the scatterplot of (X,Y) in a new reference frame. What do you notice? 3. Determine the equation of the regression line of Y in X and then construct it in the second frame. Calculate the linear correlation coefficient of Y in X. Is the linear fit valid in this case? 4. Determine the amount of gasoline consumed in 100 km when the car is driven at 140 km/h. 5. Determine the speed required for the gasoline consumption to be 8 l/100km.