![]() The variables studied were chest girth in centimeters (x) and weight in kilograms (y).ĭo you notice any point in the scatter plot of elk weight versus chest girth that might be described as an outlier? If so, which one? The scatter plot below was constructed using data from a study of Rocky Mountain elk (“Estimating Elk Weight from Chest Girth,” Wildlife Society Bulletin, 1996). OUTLIERS: An outlier is an unusual point in a scatter plot that does not seem to fit the general pattern or that is far away from the other points in the scatter plot. Investigating these clusters may tell you something useful about the data. Two things to watch for are as follows:ĬLUSTERS: Usually, the points in a scatter plot form a single cloud of points, but sometimes the points may form two or more distinct clouds of points. In addition to looking for a general pattern in a scatter plot, you should also look for other interesting features that might help you understand the relationship between two variables. Students may notice that this is a positive relationship but not quite as strong as the relationship noted in Exercise 6. For crocodiles, the greater the body mass, the greater the bite force tends to be. Possible response: There appears to be a positive linear relationship between bite force and body mass. (Note: Body mass and bite force have been converted to pounds from kilograms and newtons, respectively.) ![]() Using the questions at the beginning of this lesson as a guide, write a few sentences describing any possible relationship between x and y. Age appears to increase as shell length increases, but the increase is not at a constant rate.īelow is a scatter plot of data from crocodiles on body mass in pounds (x) and bite force in pounds (y). ![]() Possible response: There appears to be a relationship between shell length and age, but the pattern in the scatter plot is curved rather than linear. The points in the scatter plot appear to be scattered at random, and there is no apparent pattern in the scatter plot.īelow is a scatter plot of data on shell length in millimeters (x) and age in years (y) for 27 lobsters of known age. Possible response: There does not appear to be a relationship between quality rating and price. The cars with greater weight tend to have lesser fuel efficiency.īelow is a scatter plot of data on price in dollars (x) and quality rating (y) for 14 bike helmets. Students may note that this is a fairly strong negative relationship. Possible response: There appears to be a negative linear relationship between fuel efficiency and weight. If the relationship appears to be linear, is it a positive or a negative linear relationship?īelow is a scatter plot of data on weight in pounds (x) and fuel efficiency in miles per gallon (y) for 13 cars. If there is a relationship, does it appear to be linear? Answer the three questions in Example 1 for each scatter plot. Take a look at the following five scatter plots. A negative linear relationship is one that is described by a line with a negative slope. ![]() A positive linear relationship is one that is described by a line with a positive slope. Answering the third question requires you to distinguish between a positive linear relationship and a negative linear relationship. Does there appear to be a general pattern to the points in the scatter plot, or do the points look as if they are scattered at random? If you see a pattern, you can answer the second question by thinking about whether the pattern would be well described by a line. To answer the first question, look for patterns in the scatter plot. If the relationship appears to be linear, is the relationship a positive linear relationship or a negative linear relationship? If there is a relationship, does it appear to be linear?Ĭ. ![]() Does it look like there is a relationship between the two variables used to make the scatter plot?ī. When you look at a scatter plot, you should ask yourself the following questions:Ī. In the previous lesson, you learned that scatter plots show trends in bivariate data. Engage NY Eureka Math 8th Grade Module 6 Lesson 7 Answer Key Eureka Math Grade 8 Module 6 Lesson 7 Exercise Answer Key ![]()
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