The heights of a sample of 10 fathers and their eldest sons are given below :167 162Height of fathers (X)Height of son (Y)170193167166169171164165168167166166168165168170165168(i) Compute the regression of Y on X.(ii) Compute the correlation coefficient.(iii) Compute the coefficient of determination and give your comments.

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Answered: The heights of a sample of 10 fathers…

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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Fill in the blanks. a. If predictor variable x1 has VIF equal to 5, then_______percent of the variation in the observed values of x1 is explained by the other predictor variables in the regression equation. b. If x1 and x2 are the only predictor variables in a regression equation and if the observed values of x1 and x2 have linear correlation coefficient equal to 0.7, then the VIF of x1 equals_______ c. A VIF of 10 indicates_______multicollinearity.
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. c. Test the significance of the correlation coefficient at  = 0.05. d. Is it significant to construct a regression equation?
Let x be the weight of a car (in hundreds of pounds), and let y be the miles per gallon (mpg). Suppose a car weighs 3800 pounds. What does the data forecast for the miles per gallon expected? x= 27 44 32 47 23 40 34 52 y= 30 19 24 13 29 17 21 14 State the correlation coefficient and state the regression lin equation.
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 45 inches. Is the result close to the actual weight of 333 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 47 61 51 47 54 56 282 495 371 349 421 389 (...) What is the regression equation? y=+x (Round to one decimal place as needed.) an example Get more help. Clear all Check answer brrec Us |
Fill in the blanks. a. If predictor variable x1 has VIF equal to 5, then _______ percent of the variation in the observed values of x1 is explained by the other predictor variables in the regression equation. b. If x1 and x2 are the only predictor variables in a regression equation and if the observed values of x1 and x2 have linear correlation coefficient equal to 0.7, then the VIF of x1 equals ________. c. A VIF of 10 indicates _______. multicollinearity.
The mortality rate of a sample of the population as a function of daily tobacco consumption can be seen below: Number of cigarettes "x": 3 5 6 15 20 Mortality rate "y" : 0.2 0.3 0.4 0.5 0.7 With these data, solve the following: a. Determine and interpret the correlation coefficient. b. Find the regression line of y on x. c. What will be the mortality rate for a consumer of 40 cigarettes per day?
M Wed Feb 15 Measles and Mumps The data show the number of cases of measles and mumps for a recent 5-year period. Measles Cases Mumps Cases 48 150 1797 475 70 60 203 1954 2575 370 Send data to Excel www-awu.connectmath.com The correlation coefficient for the data is r=-0.911 and a= 0.05. Should regression analysis be done? O The regression analysis should not be done. O The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places. y' = a + bx a = b = Given a year with 185 cases of measles, predict the expected number of cases of mumps for that year. Round your answer to at least one decimal place. The number of cases of mumps for that year is 47% Submit Assignment 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Cent 0
The following table contains ACT scores and the GPA for eight college students. Estimate the relationship between GPA (yi) and ACT (x;) using OLS regression by hand. Report the intercept and slope estimates: Student 1 2 3 4 5 6 7 8 GPA 2.8 3.4 3.0 3.5 3.6 3.0 2.7 3.7 ŷ₁ =B₁ + B₁x₁ ACT 21 24 26 27 29 25 25 30 y X ŷ₁
The following table shows students’ number of absences, x, and the student’s final grade,, y.# of absences x 6 2 15 9 12 5 8 Final grade y 82 86 43 74 58 90 78a) Calculate r, the correlation coefficient ________________b) Find the equation of the regression line __________________________________c) If a student is absent 4 times,, what grade does your regression line predict?__________________
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 48 inches. Is the result close to the actual weight of 308 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 58 49 58 43 46 57 355 266 332 177 246 348 What is the regression equation? y = + x (Round to one decimal place as needed.) %3D What is the best predicted weight of a bear with a chest size of 48 inches? The best predicted weight for a bear with a chest size of 48 inches is pounds. (Round to one decimal place as needed.) Is the result close to the actual weight of 308 pounds? A. This result is not very close to the actual weight of the bear. B. This result is close to the actual weight of the bear. C. This result is exactly the same as the actual weight of the bear.…
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 44 inches. Is the result close to the actual weight of 293 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 45 221 265 50 41 52 45 335 307 45 265 Critical Values of the Pearson Correlation Coefficient r 321 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 0.990 NOTE: To test Ho: p=0 y=+x (Round to one decimal place as needed.) 4 against H,: p#0, reject H, jf the absolute value of r is greater than the critical value in the table. 0.950 0.878 0.959 6 0.811 0.917 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 0.684 0.661 13 0.553 14 0.532 15 0.514 0.641 0.497 16 17 18 19 0.623…

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