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Chapter 3: Q 14. (page 172)

Windy city Is it possible to use temperature to predict wind speed? Here is a scatterplot showing the average temperature (in degrees Fahrenheit) and average wind speed (in miles per hour) for 365 consecutive days at O鈥橦are International Airport in Chicago.14 Is r>0 or r<0? Closer to r=0orr=卤1? Explain your reasoning.

Short Answer

Expert verified

The correlation is less than 0 and also the pattern is closer to the horizontal axis which means that the correlation is closer to 0 that is, r<0 and closer to 0

Step by step solution

01

Given information

The figure is:

02

Explanation

The scatter plot is a graph that shows the association between two variables. It displays the level of correlation between two variables, known as the dependent and independent variables.

The data points in the accompanying picture are arranged in a downward pattern, indicating that the correlation is less than 0 and the pattern is also closer to the horizontal axis, indicating that the correlation is closer to 0 r<0andcloserto0

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Most popular questions from this chapter

More long jumps Refer to Exercise 52. Use technology to create a residual plot. Sketch the residual plot and explain what information it provides.

Husbands and wives The mean height of married American women in their

early 20s is 64.5 inches and the standard deviation is 2.5 inches. The mean height of married men the same age is 68.5 inches with standard deviation 2.7 inches. The correlation between the heights of husbands and wives is about r = 0.5.

a. Find the equation of the least-squares regression line for predicting a husband鈥檚 height from his wife鈥檚 height for married couples in their early 20s.

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a. Interpret the slope of the regression line.

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An AP庐 Statistics student designs an experiment to see whether today鈥檚 high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes鈥攐ne with a calculator and one without鈥攊n random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares

regression yields the equation. calculator^ = 鈭�1.2 + 0.865 (pencil) r = 0.79

Which of the following statements is/are true?

I. If the student had used Calculator as the explanatory variable, the correlation would remain the same.

II. If the student had used Calculator as the explanatory variable, the slope of the least-squares line would remain the same.

III. The standard deviation of the number of correct answers on the paper-and-pencil quizzes was smaller than the standard deviation on the calculator quizzes.

a. I only

b. II only

c. III only

d. I and III only

e. I, II, and III

Olympic figure skating For many people, the women鈥檚 figure skating competition is the highlight of the Olympic Winter Games. Scores in the short program x and scores in the free skate y were recorded for each of the 24 skaters who competed in both rounds during the 2010 Winter Olympics in Vancouver, Canada.28 Here is a scatterplot with least-squares regression line y^=鈭�16.2+2.07x. For this model, s = 10.2 and r2 = 0.736.
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