The number of calories in a food item depends on many factors, including the amount of fat in the item. The data below shows the amount of fat (in grams) and the number of calories in 7 beef sandwiches at McDonalds. The scatterplot displaying the relationship is shown to the right. Collection 1 Scatter Plot : Sandwich Fat Calories 800- Big Mac Quarter Pounder w/ Cheese Dbl Quarter Pounder w/ Cheese Hamburger Cheeseburger Double Cheeseburger 29 550 600- 26 520 42 750 400 9 250 200 12 300 23 440 McDouble 19 390 10 15 20 25 30 35 40 45 Fat 1. Describe the shape, the direction, and the strength of this relationship. 2. The regression equation for this data is Calories = 1.52 Fat + 105. Explain the meaning of the slope and y-intercept in the context of this problem. 3. What is the correlation between Calories and Fat? Calories

Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific subpart to be answered then please submit that subpart only or specify the subpart in your message. 1. Shape, direction and strength of relationship: From the given scatter plot, it can be observed that the pattern of data is approximately linear and in positive direction. Thus, there is strong positive linear relationship between amount of fat and number of calories in 7 beef sandwiches at McDonalds.2. Given that, The regression equation is Calories=1.52Fat+105. The intercept value is a=105. It can be interpreted as "the expected number of calories without involving the amount of fat is 105". The slope coefficient value is b=1.52. It can be interpreted as "As the amount of fat increases by 1 gram, the expected number of calories increases by 1.52".3. Correlation coefficient: The correlation coefficient can be calculated using EXCEL function “=CORREL (array1, array2)” as follows: Thus, the correlation coefficient between fat and calories is r=0.9978.