Concept explainers
Making Predictions. In Exercises 5–8, let the predictor variable x be the first variable given. Use the given data to find the regression equation and the best predicted value of the response variable. Be sure to follow the prediction procedure summarized in Figure 10-5 on page 493. Use a 0.05 significance level.
6. Bear Measurements Head widths (in.) and weights (lb) were measured for 20 randomly selected bears (from Data Set 9 “Bear Measurements” in Appendix B). The 20 pain of measurements yield
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- Constructing Normal Quantile Plots. In Exercises 17–20, use the given data values to identify the corresponding z scores that are used for a normal quantile plot, then identify the coordinates of each point in the normal quantile plot. Construct the normal quantile plot, then determine whether the data appear to be from a population with a normal distribution. Brain Volumes A sample of human brain volumes (cm3) is obtained from those listed in Data Set 8 “IQ and Brain Size” in Appendix B: 1027, 1029, 1034, 1070, 1079, 1079, 963, 1439.arrow_forward?How do you find D? Asking about the end behavior of the data?arrow_forwardpart darrow_forward
- Type I and Type I l Errors. In Exercises 29–32, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.) The proportion of people with blue eyes is equal to 0.35.arrow_forwardA study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 8 3 1 3 6 3 4 8 GPA 2.1 2.7 3.2 2.6 2.8 3.1 2.9 2.2 Use the model to predict the GPA of a college student who as had 3 lovers.GPA = (Please round your answer to one decimal place.) Interpret the slope of the regression line in the context of the question: For every additional lover students have, their GPA tends to decrease by 0.13. The slope has no practical meaning since a GPA cannot be negative. As x goes up, y goes down. Interpret the y-intercept in the context of the question: The best prediction for the GPA of a student who has never had a lover is 3.29. The y-intercept has no practical meaning for this study. If a student has never had a lover, then that student's GPA will be 3.29. The average GPA for all students is predicted to be 3.29.arrow_forwardIn the real world, what kinds of data are distributed in the shape of a bell curve? Cite examples of how the Bell Curve has been used that you think are good, or bad, or neutral.arrow_forward
- A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 2 1 4 3 0 7 1 4 7 GPA 3.5 3.5 2.6 3.5 3.2 1.7 3.1 2.8 2 Use the model to predict the GPA of a college student who as had 2 lovers.GPA = (Please round your answer to one decimal place.)arrow_forward8. Which methods are appropriate for categorical data? f. K-means clustering b. Logistic regression g. Linear regression h. Naïve Bayes i. Map/Reduce a. T-test c. Association rules d. Decision Trees e. Hive j. Pigarrow_forwardWhich command in R to make a plot of the data and then add the regression line of the two random variables x and y?arrow_forward
- In the regression model ŷ = a + bx, a and b are the: omitted variables O sample statistics O random variables O population parametersarrow_forwarda. Draw a scatter diagram for the data. b. Draw a regression line of y on x. c. Determine the equation of the line of best fit.arrow_forwardpart barrow_forward
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