B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage andthe distance between the burning house and the nearest fire station. This information will be used insetting rates for insurance coverage. For a sample of 30 claims for the last year, the director of theactuarial department determined the distance from the fire station (x) and the amount of fire damage, inthousands of dollars (y). The MegaStat output is reported below.ANOVA tableSourceRegressionResidualTotalRegression outputVariablesInterceptDistance-XAnswer the following questions.SS1,864.57821,344.49343,209.07Coefficients12.36014.7956df12829MS1,864.578248.0176Std. Error3.29150.7696c) Determine and interpret the coefficient of determination.F38.83t(df=28)3.7556.231d) Determine the correlation coefficient. Interpret its value. How did you determine the sign ofthe correlation coefficient?

The question is about regression Given : From output : SSRegression = 1864.5782 SSTotal = 3209.07…

Answered: c) Determine and interpret the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Question content area bottom Part 1 Choose the correct answer below. A. The coefficient of determination is 0.321. 32.1% of the variation is explained by the linear correlation, and 67.9% is explained by other factors. B. The coefficient of determination is 0.679. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. C. The coefficient of determination is 0.321. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. D. The coefficient of determination is 0.679. 32.1% of the variation is explained by the linear correlation, and 67.9% is…
A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. The pediatrician wants to use height to predict head circumference. Compute the linear correlation coefficient between the height and head circumference of a child. Height Head Circumference (inches) (inches) 27.5 25 (Round to three decimal places as needed.) 17.3 17.1 26 25.25 27.25 26.75 25.75 27 25 17.2 17 17.6 17.4 17.2 17.3 Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Type here to search TOUG Panasonic CF-54 CDSS-4852 TERMO TOGA O O O O D () Scre Loc PrtSc Num Lock F10 F11 F12 F7 F8 F9 SysRq F5 F6 F3 F4 A 8 F1 F2 Esc & 7 0 8 B 90 5 A2 24 近 %#3
Does a major league baseball team's record during spring training indicate how the team will play during the regular season? Over a six-year period, the correlation coefficient between a team's winning percentage in spring training and its winning percentage in the regular season is 0.18. Shown are the winning percentages for the 14 American League teams during a season. Team SpringTraining RegularSeason Team SpringTraining RegularSeason Baltimore Orioles 0.415 0.430 Minnesota Twins 0.497 0.548 Boston Red Sox 0.427 0.594 New York Yankees 0.585 0.527 Chicago White Sox 0.418 0.564 Oakland A's 0.694 0.474 Cleveland Indians 0.566 0.497 Seattle Mariners 0.497 0.385 Detroit Tigers 0.566 0.465 Tampa Bay Rays 0.732 0.607 Kansas City Royals 0.534 0.470 Texas Rangers 0.642 0.492 Los Angeles Angels 0.717 0.625 Toronto Blue Jays 0.444 0.539 a. What is the correlation coefficient between the spring training and the regular season winning…
Two statistically independent random have variances of Variables X and 0² and new ran- dom T variables Y 54 are + = 25. TWO defined by U = 3x + 4 Y V = 5X-2Y
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.
Q11
Experimental or Observational: A group of students is interested in knowing if there is a correlation between the amount of sleep kids get and their performance on the SAT. They have 20 kids sleep for 5 hours, 20 kids sleep for 6 hours, 20 kids sleep for 7 hours, and 20 kids sleep for 8 hours. They get their SAT scores and analyze the data. ______________
Solve for the Pearson Correlation Coefficient of the following data and interpret. x y 45 23 54 45 65 34 46 65
A study is conducted to determine the relationship between a driver’s age and the number of accidents he or she has over a 1-year period. The data are presented in table below. a. Draw a scatter plot. What does it show? b. Compute the value of the correlation coefficient.
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.506. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.256. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O B. The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O C. The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors. O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors.

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c) Determine and interpret the coefficient of determination. d) Determine the correlation coefficient. Interpret its value. How did you determine the sign of the correlation coefficient?