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Chapter 3: Q 8. (page 171)

More putting success Refer to your graph from Exercise 4 Describe the relationship between distance from hole and percent of putts made for the sample of professional golfers.

Short Answer

Expert verified

Negative, strong, curved association with no outliers.

Step by step solution

01

Given information

For scatterplot:

Horizontal axis: Distance (ft .)

Vertical axis: Percent made.

02

Explanation

Strength: The dots on the scatterplot are fairly close together in the pattern, and there are no significant deviations from this overall pattern. As a result, strength will be abundant.

Form: There looks to be a bit of curvature in the scatterplot. As a result, the shape will be slightly bent.

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

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Most popular questions from this chapter

More heavy backpacks Refer to your graph from Exercise 3 Describe the relationship between body weight and backpack weight for this group of hikers.

Driving speed and fuel consumption Exercise 9 (page 171) gives data on the fuel consumption y of a car at various speeds x. Fuel consumption is measured in liters of gasoline per 100 kilometers driven, and speed is measured in kilometers per hour. A statistical software package gives the least-squares regression line y^=11.058鈥�0.01466x. Use the residual plot to determine if this linear model is appropriate.

Actual consumption Refer to Exercise 48. Use the equation of the least-squares regression line and the residual plot to estimate the actual fuel consumption of the car when driving 20 kilometers per hour.

Does fast driving waste fuel? How does the fuel consumption of a car change as its speed increases? Here are data for a British Ford Escort. Speed is measured in kilometers per hour and fuel consumption is measured in liters of gasoline used per 100 kilometers traveled.

a. Make a scatterplot to display the relationship between speed and fuel consumption.

b. Describe the relationship between speed and fuel consumption.

Long-term records from the Serengeti National Park in Tanzania show interesting ecological relationships. When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more trees grow. Lions feed more successfully when there are more trees, so the lion population increases. Researchers collected data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass area burned in the same year. The results of a least-squares regression on the data are shown here.


a. Is a linear model appropriate for describing the relationship between wildebeest abundance and percent of grass area burned? Explain.

b. Give the equation of the least-squares regression line. Be sure to define any variables you use.

c. Interpret the slope. Does the value of the y-intercept have meaning in this context? If so, interpret the y-intercept. If not, explain why.

d. Interpret the standard deviation of the residuals and r2.
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