1) When a honeybee finds a source of food, it returns to the beehive and communicates to other bees the direction and distance of the source. The bee makes a loop, waggles its belly along a line, makes another loop, and then another waggle. The bee repeats its dance several times. The time for each cycle (one loop and waggle) reveals the approximate distance to the food source. a) Find a linear regression model for this data. Round coefficients to 4 decimal places. b) Use your model to predict the cycle time if the distance to food is 2.5km. c) Use your model to predict the distance to food if the cycle time is 4 seconds. d) Find the correlation coefficient. What does this tell you about how linear the data is? c) Interpret the slope of your linear regression model in context of this scenario. 2) Let f(x)=4x36x2+3x+12. Find each of the following. a) f(4)