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Chapter 3: Q 6. (page 171)

Starbucks The scatterplot shows the relationship between the amount of fat (in grams) and the number of calories in products sold at Starbucks.11 Describe the relationship between fat and calories for these products.

Short Answer

Expert verified

Positive, linear and moderately strong association and has no unusual features.

Step by step solution

01

Given information

The following scatterplot depicts the link between the quantity of fat (in grams) and the number of calories in Starbucks products:

02

Explanation

Strength: The spots in the scatterplot aren't too close together and aren't too far apart either. As a result, strength will be moderate.

Form: There is no substantial curvature in the scatterplot. As a result, the shape will be linear.

Direction: The pattern's upward slope means the direction will be positive.

Unusual features: No points in the other scatterplot points significantly vary from the pattern in the scatterplot. As a result, there are no outliers.

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Most popular questions from this chapter

Hot dogs Are hot dogs that are high in calories and also high in salt? The

following scatterplot shows the calories and salt content (measured in milligrams of sodium) in 17 brands of meat hot dogs.

a. The correlation for these data is r=0.87 Interpret this value.

b. What effect does the hot dog brand with the smallest calorie content have on the correlation? Justify your answer.

In addition to the regression line, the report on the Mumbai measurements says that r2 =0.95. This suggests that

a. although arm span and height are correlated, arm span does not predict height very accurately.

b. height increases by 0.95=0.97 cm for each additional centimeter of arm

span.

c. 95% of the relationship between height and arm span is accounted for by the regression line.

d. 95% of the variation in height is accounted for by the regression line with x = arm span. e. 95% of the height measurements are accounted for by the regression line with x = arm span.

Movie candy Is there a relationship between the amount of sugar (in grams) and the number of calories in movie-theater candy? Here are the data from a sample of 12 types of candy:

a. Sketch a scatterplot of the data using sugar as the explanatory variable.

b. Use technology to calculate the equation of the least-squares regression line for predicting the number of calories based on the amount of sugar. Add the line to the scatterplot from part (a).

c. Explain why the line calculated in part (b) is called the “least-squares” regression line.

A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, “The evidence indicates the correlation between the number of extracurricular activities. a student participates in and his or her grade point average is close to 0.” Which of the following is the most appropriate conclusion?

a. Students involved in many extracurricular activities tend to be students with poor grades.

b. Students with good grades tend to be students who are not involved in many extracurricular activities.

c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.

d. Students with good grades tend to be students who are involved in many

extracurricular activities.

e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.

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