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.
7. Height and Weight Heights (cm) and weights (kg) are measured for 100 randomly selected adult males (from Data Set 1 “Body Data” in Appendix B). The 100 paired measurements yield
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ESSENTIALS OF STATISTICS 6TH ED W/MYSTA
- O.R data preparation is a trivial step, due to the time required and the possibility of data collection errors. True of fallsarrow_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_forwardFamily Heights. In Exercises 1–5, use the following heights (in.) The data are matched so that each column consists of heights from the same family. Scatterplot Construct a scatterplot of the father/son heights, then interpret it.arrow_forward
- The table below shows the average monthly rainfall in inches for Los Angeles, California. Which model best represents the data set? Month 1 2 3 4 7 8 10 11 12 Rainfall 3.33 3.68 3.140.83 0.31 0.06 0.01 0.13 0.32 0.37 1.05 1.91 O y = 0.09x² – 1.43x + 5.51 Oy = -1.43x + 5.51 O y = 0.01x? +1.43x + 5.51 O y = 1.43x +5.51arrow_forwardInterpreting a Computer Display. In Exercises 5–8, we want to consider the correlation between heights of fathers and mothers and the heights of their sons. Refer to the StatCrunch display and answer the given questions or identify the indicated items. The display is based on Data Set 5 “Family Heights” in Appendix B. Height of Son Identify the following: a. The P-value corresponding to the overall significance of the multiple regression equation b. The value of the multiple coefficient of determination R2 c. The adjusted value of R2arrow_forwardNexium is a drug that can be used to reduce the acid produced by the body and heal damage to the esophagus. A researcher wants to estimate the proportion of patients taking Nexium that are healed within 8 weeks. A random sample of 224 patients suffering from acid reflux disease is obtained, and 213 of those patients were healed after 8 weeks. a. Identify the population of interest and sample of interest. what is the sample size? b. Describe the parameter of interest. c. Describe the statistic of interest. What value of the statistic obtained?arrow_forward
- 50arrow_forwardIt is a model that shows or predict the relationship between two variables. A. Linear Regression B. Correlation Coefficient C. Statistics D. Cryptographyarrow_forwardWhat is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time Score 3 4 73 16 2 15 10 3 95 61 67 67 88 90 75 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Hg: ?v = 0 H: ?v + 0 Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the…arrow_forward
- Appendix B Data Sets. In Exercises 13–16, refer to the indicated data set in Appendix B and use technology to obtain results. Predicting IQ Score Refer to Data Set 8 “IQ and Brain Size” in Appendix B and find the best regression equation with IQ score as the response (y) variable. Use predictor variables of brain volume and/or body weight. Why is this equation best? Based on these results, can we predict someone’s IQ score if we know their brain volume and body weight? Based on these results, does it appear that people with larger brains have higher IQ scores?arrow_forwardA scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household’s daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household’s daily energy consumption are taken from 10 winter days and shown in the table. x -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 2.6 y 28 30 26 25 26 27 26 24 22 21 You may use: Sy=255 Sxy=283.8 Syy= 64.5 Find a value for the product moment correlation coefficient r for this data Explain what the value of the product moment corelation tells you about the relationship between daily temperature and the household energy consumption.arrow_forwardCorvette, Ferrari, and Jaguar produced a variety of classic cars that continue to increase in value. The data showing the rarity rating (1–20) and the high price ($1000s) for 15 classic cars is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.arrow_forward
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