Statistics Team Project Cherry Butcher Michelle Jacobs Jonathan Roberts Melissa Kesler Maggie Sharifan Chicken Nuggets At Fast Food Restaurants Statement Can the number of calories be determined by the grams of fat per serving size? Hypothesis The number of calories can be determined by the number of grams of fat. Chicken Nugget Statistics At Fast Food Restaurants Fast Food Restaurants Fat Content (g) Calories Wendy’s 12 180 McDonald’s 12 190 Burger King 11 180 Jack In The Box 24 563 Chick -Fil-A 6 130 KFC 14 340 Carl’s Jr 14 270 Dairy Queen 25 593 Sonic 11 198 Arby’s 12 260 A&W 15 300 Popeye’s 12 220 # of Calories / Grams of fat in Chicken Nuggets 700 600 # of Calories 500 400 300 200 100 0 0 5 10 15 20 25 30 Fat (in grams) Positive Linear Relation Does Exist r = 0.9576 ( > Table II r = 0.576) Summary Output r = 0.9576 Intercept = -89.99791667 X Variable = 26.809375 Y = 26.809375(x) + (-89.997917) Line Plot Best Fit Line Plot 700 600 Calories 500 400 Observed Y Predicted Y 300 200 100 0 0 5 10 15 Fat (in grams) 20 25 30 Residual Output Observation Predicted Y Residuals 1 231.7145833 -51.71458333 2 231.7145833 -51.71458333 3 204.9052083 -24.90520833 4 553.4270833 9.572916667 5 70.85833333 59.14166667 6 285.3333333 54.66666667 7 285.3333333 -15.33333333 8 580.2364583 12.76354167 9 204.9052083 -6.905208333 10 231.7145833 28.28541667 11 312.1427083 -12.14270833 12 231.7145833 -11.71458333 Scatterplot Scatterplot of Residuals 80 60 40 20 Chicken Nuggets 0 0 -20 -40 -60 5 10 15 Predictions X Equation Y 8 Y=26.809375(8) + -89.997917 124.447083 10 Y=26.809375(10) + -89.997917 178.095833 13 Y=26.809375(13) + -89.997917 258.523958 23 Y=26.809375(23) + -89.997917 526.617708 Conclusion There was a strong correlation between the number of calories based on the grams of fat, as evidenced by the high value of r = .09576. References http://www.mcdonalds.com/us/en/food/full_ menu/chicken/mcnuggets.html http://www.wendys.com/food/Nutrition.jsp http://redesign.bk.com/en/us/menu- nutrition/index.html