Math Problem Statement
Suppose a researcher wants to determine if the amount of Fat in fast-food hamburgers can be used to predict the amount of Calories. The data are given below. Complete parts a through g. Fat (g) 21 30 32 33 37 40 45
Calories 420 600 600 580 620 690 650 Question content area bottom Part 1 a) Create a scatterplot of Calories vs. Fat. Choose the correct graph below. A. 300 800 10 60 Calories Fat (g)
A scatterplot with horizontal axis labeled "Calories" from 300 to 800 in intervals of 100 and vertical axis labeled "Fat (grams)" from 10 to 60 in intervals of 10 contains points whose general pattern is a line that falls from left to right. The approximate points are as follows: (490, 45), (450, 40), (520, 37), (560, 33), (540, 32), (540, 30), and (720, 21). B. 10 60 300 800 Fat (g) Calories
A scatterplot with horizontal axis labeled "Fat (grams)" from 10 to 60 in intervals of 10 and vertical axis labeled "Calories" from 300 to 800 in intervals of 100 contains points whose general pattern is a line that rises from left to right. The approximate points are as follows: (21, 420), (30, 600), (32, 600), (33, 580), (37, 620), (40, 690), (45, 650). Your answer is correct.C. 300 800 10 60 Calories Fat (g)
A scatterplot with horizontal axis labeled "Calories" from 300 to 800 in intervals of 100 and vertical axis labeled "Fat (grams)" from 10 to 60 in intervals of 10 contains points whose general pattern is a line that rises from left to right. The approximate points are as follows: (420, 21), (600, 30), (600, 32), (580, 33), (620, 37), (690, 40), (650, 45). D. 10 60 300 800 Fat (g) Calories
A scatterplot with horizontal axis labeled "Fat (grams)" from 10 to 60 in intervals of 10 and vertical axis labeled "Calories" from 300 to 800 in intervals of 100 contains points whose general pattern is a line that falls from left to right. The approximate points are as follows: (21, 720), (30, 540), (32, 540), (33, 560), (37, 520), (40, 450), (45, 490). Part 2 b) Interpret the value of Upper R squared in this context. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) A. The value of Upper R squared is enter your response here%, 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. B. The value of Upper R squared is enter your response here%, 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. C. The value of Upper R squared is enter your response here%, which is the percentage of the variation in Calories that can be accounted for by a linear model on the amount of Fat. D. The value of Upper R squared is enter your response here%, which is the percentage of the variation in Fat that can be accounted for by a linear model on the amount of Calories.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Scatterplots
Correlation
R-squared (R²)
Formulas
Linear regression formula: y = mx + b
R-squared formula: R² = 1 - (SSres / SStot)
Theorems
Linear regression model
Least squares method
Suitable Grade Level
Grades 10-12
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