Mind on Statistics
5th Edition
ISBN: 9781285463186
Author: Jessica M. Utts, Robert F. Heckard
Publisher: Brooks Cole
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Chapter 3, Problem 3.38E
Refer to the figure for the previous exercises. In scrambled order,
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Determine from your graph if the data shows a correlation. What would you expect the correlation coefficient to look like (close to +1, -1, or 0)? Explain
r = - 1
The given figure displays the relationship between golfers' scores on the first and second rounds of the 2019 Masters Tournament.
The correlation is ?=0.283.is �=0.283.
The provided figure gives data on number of boats registered in Florida and the number of manatees killed by boats for the years 1977 to 2018.
The correlation is ?=0.919.is �=0.919.
Explain in simple language why knowing only these correlations enables you to say that prediction of manatee deaths from number of boats registered by a regression line will be much more accurate than prediction of a golfer's second-round score based on that golfer's first-round score.
Chapter 3 Solutions
Mind on Statistics
Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - For each of the following pairs of variables, is...Ch. 3 - The figure for this exercise is a scatter plot of...Ch. 3 - Prob. 3.4ECh. 3 - Prob. 3.5ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - The data in the following table are the geographic...Ch. 3 - Refer to the latitude and temperature data in the...
Ch. 3 - Prob. 3.11ECh. 3 - The following table shows sex, height (inches),...Ch. 3 - Prob. 3.13ECh. 3 - Refer to Exercise 3.13 in which a regression...Ch. 3 - Prob. 3.15ECh. 3 - Prob. 3.16ECh. 3 - The equation for converting a temperature from x =...Ch. 3 - The average August temperatures (y) and geographic...Ch. 3 - A regression equation for y = handspan (cm) and x...Ch. 3 - Imagine a regression line that relates y average...Ch. 3 - Prob. 3.21ECh. 3 - The figure for Exercise 3.8 is a scatterplot of...Ch. 3 - Refer to Exercise 3.22. Predict the pulse rate...Ch. 3 - The average January temperatures (y) and...Ch. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Remember that r2 can be expressed as a proportion...Ch. 3 - Prob. 3.29ECh. 3 - Prob. 3.30ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.33ECh. 3 - Explain how two variables can have a perfect...Ch. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - The figure for this exercise (below) shows four...Ch. 3 - Refer to the figure for the previous exercises. In...Ch. 3 - Prob. 3.39ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.43ECh. 3 - The correlation between latitude and average...Ch. 3 - Prob. 3.45ECh. 3 - Prob. 3.46ECh. 3 - In a regression analysis, the total sum of squares...Ch. 3 - Prob. 3.48ECh. 3 - Suppose you know that the slope of a regression...Ch. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54ECh. 3 - Refer back to Exercise 3.7 about stopping distance...Ch. 3 - Prob. 3.56ECh. 3 - Prob. 3.57ECh. 3 - Prob. 3.58ECh. 3 - Prob. 3.59ECh. 3 - Prob. 3.60ECh. 3 - Prob. 3.61ECh. 3 - Prob. 3.62ECh. 3 - Prob. 3.63ECh. 3 - Prob. 3.64ECh. 3 - Prob. 3.65ECh. 3 - Prob. 3.66ECh. 3 - Prob. 3.67ECh. 3 - Prob. 3.68ECh. 3 - Prob. 3.69ECh. 3 - Prob. 3.70ECh. 3 - Prob. 3.71ECh. 3 - Given tickets for traffic violations than drivers...Ch. 3 - Prob. 3.73ECh. 3 - Prob. 3.74ECh. 3 - Prob. 3.75ECh. 3 - Prob. 3.76ECh. 3 - Prob. 3.77ECh. 3 - Prob. 3.78ECh. 3 - Prob. 3.79ECh. 3 - The heights (inches) and foot lengths (cm) of 33...Ch. 3 - Prob. 3.81ECh. 3 - The winning time in the Olympic men’s 500-meter...Ch. 3 - Prob. 3.83ECh. 3 - Prob. 3.84ECh. 3 - Prob. 3.86ECh. 3 - Prob. 3.87ECh. 3 - Prob. 3.88ECh. 3 - Prob. 3.89ECh. 3 - Use the dataset ceodata0t on the companion website...Ch. 3 - Prob. 3.91ECh. 3 - Prob. 3.92ECh. 3 - Prob. 3.93ECh. 3 - Prob. 3.94ECh. 3 - Prob. 3.95ECh. 3 - Prob. 3.96ECh. 3 - Prob. 3.97ECh. 3 - Prob. 3.98ECh. 3 - Prob. 3.99ECh. 3 - Prob. 3.100E
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- For the following exercises, refer to Table 7. Use a graphing calculator to create a scatter diagram of the data.arrow_forwardIn analyzing the the correlation between two variables in the scatter plot, when the variable X increases, the variable Y also increases then the correlation between them is a. no correlation b. negative c. multiple correlation d. positivearrow_forwardA professor went to a website for rating professors and looked up the quality rating and also the “essential” of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given or averages for each professor. Assume the trend is linear, the correlation, and comment on what it means. calculate the correlation r= arrow_forward
- The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The scatterplot below displays the distance between each stop (in miles) and the amount of time it takes to travel from one stop to another (in minutes). Describe the relationship between distance and travel time. Answer How would the relationship change if travel time was instead measured in hours, and distance was instead measured in kilometers? Answer Correlation between travel time (in miles) and distance (in minutes) is r=0.636.r=0.636. What is the correlation between travel time (in kilometers) and distance (in hours)?arrow_forwardA professor believed that there is a correlation between people’s weights and number of times they eat out. He recorded a group of students’ weights (measured in lbs.) and the number of times they ate out last week. The r value was 0.90. We can tell that the correlation between students’ weights (measured in kilogram) and the number of times they ate out last week is: Bigger than 0.9 0.90 Smaller than 0.9 We cannot tell ( don't hand writing solution)arrow_forwardMake up the dataarrow_forward
- Customers at a large department store rated their satisfaction with their purchases, on a scale from 1 (least satisfied) to 10 (most satisfied). The cost of their purchases was also recorded. To three decimal places, determine the correlation coefficient between rating and purchase amount spent. Then describe the strength and direction of the relationship.arrow_forward7. Use the graphs below to answer (a) and (b) 9, 1 3 7 8 1 2 3 4 7 X LEFT RIGHT a. Which graph displays a negative correlation. Explain. b. Which graph displays the stronger correlation. Explain.arrow_forwardWhich r-value represents the strongest correlation between the data and the equation? Select one: a. r=0.5 b. r=-0.96 c. r=0 d. r=0.85arrow_forward
- An instructor finds that she cannot predict a student's performance on an exam based on their attendance at the review session for the exam. This relationship is best reflected in which of the following correlations. r.= +1.00 r= -1.00 r=.50 r = 0.00arrow_forwardWhat type of correlation is exhibited by the following graph? Independent Variable a. Positive Correlation b. No Correlation c. Negative Correlation d. Either positive or negative correlation Dependent Variablearrow_forwardSummarize the definitions for linear correlation, quadratic correlations and exponential correlations. Provide an example graph of each of the types of correlation along with your summarized definitions.arrow_forward
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