Find Karl Pearson's coefficient of correlation from the following series ofmarks secured by 10 students in a class test in Mathematics and Statistics :Marks in Mathematics :45706530904050758560Marks in Statistics:35907040954060808050Also calculate the probable error.

We have given that Let X denotes the marks in mathematics and Y denotes the marks in statistics...…

Answered: 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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A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 10 4 10 4 0 2 10 7 5 7 8 8 Books 4 8 9 10 16 15 7 7 9 6 5 9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0 H1:H1: ? μ ρ r ≠≠ 0 The p-value is: Round to 4 decimal places. Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer…
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. 0.235 0.245 0.286 0.263 0.268 0.339 0.299 1.3 3.4 5.5 3.8 3.5 7.3 5.0 A USE SALT (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. Fill No Solution 2 OHelp 123 0.24 0.25 026 027 028 029 0.3 031 0.32 0.33 WebAssign. Graphing Tool (b) Use a calculator to verify that Ex = 1.935, Ex² = 0.542, Ey = 29.8, Ey2 = 148.48 and Exy = 8.619. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x…
Suppose the researcher also expected a relationship between the IQ scores of fathers and their sons. Use the following IQ scores to test this theory. Family Father Son 120 121 110 105 120 125 92 87 85 92 72 90 107 110 115 122 155 133 90 123 What is Pearson correlation coefficient (r) for the data above? A .788 B .892 C .714 D 1.0
What is the correlation coefficient from the given data below? (Round off your answer to 4 decimal places.) The following are test scores of 10 students in abstract reasoning (X) and arithmetic (Y). 100 95 79 89 90 100 88 78 85 74 80 90 80 70 55 40 50 88 50 72 Y
The Pearson Product correlation coefficient of this graph would be closest to: 0.9 0.1 -0.5 -0.1 -0.9 O 0.5
Calculate the Spearman's rank correlation coefficient between the following two sets of data: X = [3, 5, 4, 7, 6] Y = [2, 4, 3, 8, 7]
The following table gives the marks obtained by a student in ten tests during the year. Calculate the correlation coefficient. Test No. : 1 2 3 4 5 6 7 8 10 Marks in Accounts : 77 54 27 52 14 35 90 25 56 60 Marks in English : 35 58 60 40 50 40 35 56 34 42
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.243 0.245 0.286 0.263 0.268 0.339 0.299 y 1.0 3.3 5.5 3.8 3.5 7.3 5.0 A) Compute r. (Round your answer to three decimal places.) B) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
A test of an internet service provider showed the following download times (in seconds) for files of various sizes (in megabytes). Find the coefficient of determination. Based on the result what conclusion can you reach from this correlation?
A Pearson's correlation produces a significant r = -0.32. We can infer that it is a _____ relationship.

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Find Karl Pearson's coefficient of correlation from the following series of marks secured by 10 students in a class test in Mathematics and Statistics: Marks in Mathematics : 45 70 65 30 90 40 50 75 85 60 Marks in Statistics : 35 90 70 40 95 40 60 80 80 50 Also calculate the probable error.