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------III------------ Suppose a researcher wants to examine the association b V etween the amounts of Fat a d ' ' - hamburgers. The data are given below. Complete parts a through 9. n CalOFIeS In faSt fOOd Fat (9) 22 29 36 38 41 3 _ 8 42 a Calories 410 600 590 550 620 680 680 . a) Create a scatterplot of Calories vs. Fat. Choose the correct graph below. OA e 0c 0o 1 800 Q Q ; E3 . '.'__ e 3 a V E % ' a : 0 LL l . , E}: [Z 5. 300 vnr> 10 60 2 . . b) integpret the value of R in this context. Select the correct choice below and ll in the answer box to complete your c oice. ' (Round to one decimal place as needed.) A. 2 . . . O The value of R 18 %, Wthh is the percentage of the variation in Calories that can be accounted for by a linear model on the amount of Fat. O B' The value of R2 is g%, which is 100% minus the percentage of the variation in Calories that can be accounted for by a linear model on the amount of Fat. O C. The value of R2 is "/0, which is the percentage of the variation in Fat that can be accounted for by a linear model on the amount of Calories. O D- The value of R2 is %, which is 100% minus the percentage of the variation in Fat that can be accounted for by a linear model on the amount of Calories. c) Write the equation of the line of regression. A Calories =[ +( ) Fat (Round to two decimal places as needed.) d) Use the residuals plot to explain whether your linear model is appropriate. Choose the correct answer below. O A. The linear model is not appropriate because there is at least one obvious outlier in the residuals plot. 0 B. The linear model is not appropriate because the residuals plot shows increasing spread. O C. The linear model is not appropriate because the residuals plot shows an obvious curved pattern. 0 D. The linear model is not appropriate because the residuals plot shows decreasing spread. O E. The linear model is appropriate because the residuals have consistent spread without any obvious outliers or patterns. e) Explain the meaning of the y-intercept of the line. Select the correct choice below and ll in the answer box to complete your choice. (Round to two decimal places as needed.) O A- The y-intercept indicates that every calorie adds gram(s) of fat, on average. O B- The yintercept means that every gram of fat adds calorie(s), on average. O C- The yintercept means that a zero-calorie hamburger has gram(s) of fat, on average. O D- The y-intercept means that a fathree hamburger has I: calorie(s), on average. f) Explain the meaning of the slope of the line. Select the correct choice below and ll in the answer box to complete your choice. (Round to two decimal places as needed.) O A- The slope indicates that every gram of fat subtracts calorie(s), on average. O 3- The slope indicates that every calorie adds gram(s) of fat, on average. O C. The slope indicates that every gram of fat adds calorie(s), on average. O D- The slope indicates that every calorie subtracts gram(s) of fat, on average. 9) A new burger containing 33 grams of fat is introduced. According to this model, its residual for calories is + 37. How many calories does the burger have? i D calorie(s) (Round to two decimal places as needed.)