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7. A study of 10 countries showed that smaller the percentage the percentage cha

ID: 3376508 • Letter: 7

Question

7. A study of 10 countries showed that smaller the percentage the percentage change in consumer prices. a. b. Identify the explanatory variable and state its units Identify the response variable and state its units Which of the following is a possible value for the linear correlation coefficient e. between prices? the percentage change in wages and the percentage change in consumer A)0.7 B)-0.65 C)-0.85 D) 1.1 Researchers wanted to study the relationship between amounts of fat, sugar, and carbohydrates and the amount of calories in a hamburger. They gathered relevant data 8. about 22 "brands" of fast food hamburgers and obtained the following scatter plots: Calories vs. Fat Calories vs. Sugar Calories vs. Carbohydrates 1000 800 600 500 500 3001 300 203040506070 Carbohydrates (grams) 10 20 30 40 50 60 70 Fat (grams) 5.0 7.5 100 12.5 15.0 Sugar (grams) a. About how many calories would you predict for a burger that has 20 grams of fat? b. About how many calories would you predict for a hamburger that has 40 grams of carbohydrates? c. Which prediction is likely to be more accurate? Why do you think this? d. Which nutrient has the weakest impact on calories? Why do you think this? e. What does the idea of strength of the correlation tell you about whether a nutrient is a good predictor of calories? f What is the direction of the fat/calories graph? What does the direction of the line tell you about the association between the amount of fat and the calories in fast food hamburgers? 9. The scatterplot below relates wine consumption (in liters of alcohol from wine per person d deoth roto from heart disease (in deaths ner 100.000 people) for 19

Explanation / Answer

Result:

8).

a). about 400

b). about 550

c).prediction from fat is more accurate because the point are close to the regression line.

d).prediction from sugar is weakest because the point are scattered away from the regression line.

e). If the correlation is strong then this leads to the good predictor of calories.

f). The direction is positive.

This tells us that there is positive association between amount of fat and calories.

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