MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 41 inches, Is the result close to the actual weight of 273 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 40 53 38 43 44 58 227 360 153 206 234 414 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y = + x (Round to one decimal place as needed.)arrow_forwardYou generate a scatter plot using Minitab. You then have Minitab plot the regression line and report the equation and the r2 value. The regression equation is reported as y=43.41x+77.98 and the r2=0.2025.What is the correlation coefficient for this data set? r =arrow_forwardA researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the human. To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of 30 randomly selected adult males. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places. Foot length (mm) Height length (cm) 269.1 188.6 245.7 177.5 272.7 166.9 271.8 155.1 273.9 144.3 274.7 133.8 255.7 122.6 276.5 157.4 279.6 145.9 280.1 135.6 281.9 123.5 HelpCopy to ClipboardDownload CSVarrow_forward
- The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $3 million. Is the result close to the actual number of viewers, 7.0 million? Use a significance level of 0.05. Salary (millions of $) Viewers (millions) 99 7 4 9 15 4.1 2.2 1.4 4.4 8.3 8.8 4.9 4.3 = Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r What is the regression equation? y=+ x (Round to three decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r a =0.05 0.950 What is the best predicted number of viewers for a television star with a salary of $3 million? a= 0.01 NOTE: To test H p=0 0.990 against H, p#0, reject H, if the absolute value of r is greater than the critical value in the table. 14 The best predicted number of…arrow_forwardGiven that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in the left arm measurements that is explained by the relationship between the right and left arm measurements? Right arm 102 101 94 79 79 Left arm 175 169 182 146 144arrow_forwardFind the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the numbe of stories of six notable buildings in a city. Height, x Stories, y 778 621 519 510 494 473 (a) x = 500 feet (c) x = 318 feet (b) x = 649 feet (d) x = 727 feet 51 47 45 41 38 36 Find the regression equation.arrow_forward
- The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $13 million. Is the result close to the actual number of viewers, 5.7 million? Use a significance level of 0.05. 98 Salary (millions of $) Viewers (millions) 14 2 3.2 9.1 4.6 11 11 7 14 1 D 10.8 10.7 6.3 2.9 4.4 Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r What is the regression equation? Critical Values of the Pearson Correlation Coefficient r n α = 0.05 α = 0.01 NOTE: To test H₂: p=0 = + x (Round to three decimal places as needed.) 4 0.950 0.990 against H₁: p‡0, reject Ho 5 0.878 0.959 if the absolute value of r is 6 0.811 0.917 greater than the critical What is the best predicted number of viewers for a television star with a salary of $13 million? The…arrow_forwardThe data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40inches. Is the result close to the actual weight of 352pounds? Use a significance level of 0.05.a. Chest size (inches) 41 54 44 55 39 51 Weight (pounds) 328 528 418 580 296 503 a.What is the regression equation? b. The best predicted weight for a bear with a chest size of 39 inches is _______pounds. arrow_forwardListed. below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $115 million. Use a significance level of a = 0.05. Budget ($)in Millions Gross ($) in Millions 41 21 114 68 79 51 118 65 9. 61 122 21 15 151 110 119 11 107 56 128 116 101 107 55 105 222 39 22 283 45 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y%= X. %3D (Round to one decimal place as needed.)arrow_forward
- The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)arrow_forwardFind the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. height 775 619 519 508 491 474 (a) x=503 feet (b) x=644 feet Stories, y 53 47 44 42 39 38 (c) x=798 feet (d) x=734 feetarrow_forwardRefer to the data set:(-1, 2), (1, 3), (1, 5), (2, 7), (3, 8), (4, 11)Part a: Make a scatter plot and determine which type of model best fits the data.Part b: Find the regression equation.Part c: Use the equation from Part b to determine y when x = 10arrow_forward
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