.. 51. Find Karl Pearson's coefficient of correlation from the following series ofmarks secured by 10 students in a class test in Mathematics and Statistics :oA .noltulo2Marks in Mathematics :45706530904050758560Marks in Statistics359070409540808050:Also calculate the probable error.ent goneH .

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Answered: 51. Find Karl Pearson's coefficient of…

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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1. If there is a strong correlation between two variables X and Y, then X causes Y or Y causes X. O True O False
An insurance investigator has observed that people with some astrological signs tend to be safer drivers than people with other signs. Using insurance records, the investigator classified 150 people according to their astrological signs and whether or not they were involved in a car accident during the previous 12 months. Do the following data indicate a significant relationship between sign and accidents? Test with a = .05. Libra Leo Gemini Accident 7 4 19 No Accident 73 46 1
Subject Extroversion Neuroticism 1 43 49 2 46 53 3 48 67 4 48 57 5 48 56 6 50 48 7 51 60 8 51 41 9 53 51 10 58 47 11 62 41 12 63 51 13 63 30 14 63 28 15 67 55 16 67 47 17 67 39 7. What is the standard error of the correlation coefficient for the association of extroversion and neuroticism in personalities.xls? 8. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? (Report the absolute value. The t-distribution is symmetric, thus it is easier to compare the absolute value of the t-statistic with the positive values in statistical table C). 9. Carry out a formal t-test for the association between extroversion and neuroticism in personalities.xls. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical…
5. The coefficient of rank correlation of the marks obtained by 10 students in maths and statistics was found to be 0.5. It was later discovered that the difference in ranks in two subjects obtained by one of the students was wrongly taken as 3 instead of 7. Find the correct coefficient of rank correlation.
6. The following table shows the marks of 12 students in Accounts and' Q.T. . Determine the coefficient of correlation. Marks in 65 40 35 75 65 80 35 20 85 65 55 33 ассоuntancy Marks in Q.T 30 55 68 28 76 25 80 85 2035 45 65
5. You have a sample of 19 students and plan to determine if a linear relationship can be used to predict the SAT score as a function of the high school GPA. What value does the correlation coefficient need to exceed, according to the r√n> 3 rule, in order for you to be able to say that the correlation between the SAT score and the high school GPA is significant, instead of it having occurred by random chance? Write your answer as a decimal correctly rounded to three decimal places.
22. The arm span and foot length were measured (in Using the computer output, what is the correlation? centimeters) for each of the 19 students in a statistics O 0.630 class and displayed in the scatterplot. An analysis was completed and the computer output is shown. O 0.649 O 0.794 O 0.806 Arm Span vs. Foot Length 29 27 ... 19 155 160 165 170 175 180 185 190 195 Mark this and return Save and Exit Next Submit 65 DELL F3 4101 F4 F5 F6 FZ F8 F9 F10 F11 Priscr F12 Insert %23 %24 & 4. 5 7 08. E R D F G J K L Foot Length (cm) 立

6. The coefficient of correlation between x and y is r = 0.59. Calculate the coefficient of determination.
38 - As a result of the research, it was concluded that there is no relationship between the two variables. What is the value of the correlation coefficient? O A) 0,25 O B) 1,0 O C) 0,50 O D) 0,0 O E) 0,75
56. Which of the following illustrates perfect correlation? a. b. d. C.

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