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8. A regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat gave the following results: Predicted Calories

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8. A regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat gave the following results: Predicted Calories = 97.1053 + 9.6525(Fat). Which of the following is false? A. It is estimated that for every additional gram of fat in the cereal, the number of calories increases by about 10. B. It is estimated that in cereals with no fat, the total amount of calories is about 97. C. If a cereal has 2 g of fat, then it is estimated that the total number of calories is about 116. . The correlation between amount of fat and calories is positive. E . If one cereal has 140 calories and 5 g of fat, its residual is about 5 calories. X1 0 + 0.01 9 . Suppose a certain scale is not calibrated correctly, and as a result, the mass of any object is displayed as 0.75 kilogram less than its actual mass. What is the correlation between the actual masses of a set of objects and the respective masses of the same set of objects displayed by the scale? 1 eausoed (PSY dola lsublast A. . -1 8 B. -0.75 C. 0 D. 0.75 E . 1 10. Data were collected on the fiber diameter and the fleece weight of wool taken from a sample of 20 sheep. The data are shown in the following graphs. Graph 1 is a scatterplot of fleece weight versus fiber diameter with the respective least-squares regression line shown. Graph 2 is the associated plot of the residuals versus the predicted values. Graph 1 Graph 2 E 15+ 4 - 2 - 10 Residual Fleece Weight Fleece Weight h D -4 C + 20 25 30 35 40 8 9 10 11 12 13 14 15 Fiber Diameter Predicted Fleece Weight One point is circled on graph 1. Five points labeled A, B, C, D, and E are identified on graph 2. Which point on graph 2 represents the residual for the circled point on graph 1? A. A B. B C. C D. D E

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