25 Algebra 1B – Notebook Entry _ Name:______________________

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Presentation transcript:

25 Algebra 1B – Notebook Entry _____ Name:__________________________ Line of Best Fit – Graded Assignment Date:___________________________ Directions: Please complete the following assignment in pencil. Show all necessary work and label answers as appropriate. 25 The following table shows the grams of fat and number of calories for a “regular” hamburger at various restaurants. Chain Fat (g) (x) Calories (y) McDonalds 9 250 Burger King 10 260 Hardee’s 15 310 Checkers 22 390 Sonic 38 710 Wendy’s 7 220 Part 1: On the coordinate plane provided, create a scatterplot of the data and draw a line of best fit for the data (7 points). Be sure to: Title the Scatterplot (1 Point) Label the axes (2 Points) 900 800 700 600 500 Label: ____________________________ 400 300 Select two points ON YOUR LINE OF BEST FIT. Write them below and copy them onto the back of the paper (top). ____________ 200 100 5 10 15 20 25 30 35 40 Label: ____________________ 10

Part 2: State the two points you selected from the line of best fit: ________________________ (6 points) Write the equation for your line of best fit: y =_______________________________________________ Part 3: Use your line of best fit to answer the following: (1 point) a. What is the relationship between the grams of fat and the calories in a hamburger? (2 points) b. What is the slope of your equation, and what does it represent in this problem? ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ (2 points) c. What is the y-intercept of your equation, and what does it represent in this problem? _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ (2 points) d. If a Sheetz’s hamburger has 18 grams of fat, how many calories would you predict the hamburger will have? (2 points) e. If a Friendly’s has a hamburger with 800 calories, how many grams of fat would you predict this item would have? 15