- For two random variables X and Y,fxy (x, y) 0.15 8 (x + I) 8 (y) + 0.1 8 (x)· 8 (y) + 0.1 8 (x) - 8 (y - 2)+ 0.4 8 (x - 1) ô + 2) + 0.2 8 (x- 1) 8 (y- 1)+ 0.05 8 (x - 1) · 8 (y - 3)Find (a) the correlation(b) the covariance and(c) correlation coefficient of X and Y.

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Answered: Find (a) the correlation (b) 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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Calculate the coefficient of correlation from the following data and comment on the result : Experience (X): 16 Preformance (Y): 23 12 22 18 24 4 17 3 19 10 20 12 21 18
i, j
value of the linear correlation coefficient r.1) A college professor wants to see if there is a linear correlation between the number ofminutes that students study for an exam and the number of errors that each student madeon the exam.Study time in minutes| 90 100 130 150 180 200 220 300Number of errors on the exam 252820 201512 1310a) Find the correlation r between study time and the number of errors on an exam.b) Find critical values for r.c) Determine if there is significant linear correlation between study time and the number oferrors on an exam using a 0.05 significance level.d) Clearly state the conclusion.
The table shows the money earned from selling ice cream at a Galveston restaurant as it relates to the high temperature for the day. Temperature 58 61 71 78 81 85 89 96 100 (Fahrenheit) Ice Cream Sales 210 240 515 609 796 800 950 994 900 (Dollars) What does the correlation coefficient for the data indicate about the strength of the linear association between the temperature and ice cream sales in Galveston? А Strong negative correlation Weak negative correlation C Strong positive correlation Weak positive correlation
èstion 1 Provide an appropriate response. In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. 173 79 122 | 105 53.5 142 | 205 85.4 522 349 Rainfall (in inches), x 15.1 12 8.7 17.7 Yield (bushels per acre), y O 0.900 O 0.981 O 0.998 49.2 618 62 818 O 0.899 A Moving to another question will save this response. Question 1 of 20>> 11:33 AM (ゆッ 5/19/2021 PrtSen Home PgUP End E D B Alt
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
Squaring the Pearson correlation coefficient (r2) tells us that
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. (b) Would you say the correlation is low, moderate, or strong? positive or negative? a) moderate and positiveb) low and negative c) strong and positived) strong and negativee) low and positivef) moderate and negative As x increases, does the value of r imply that y should tend to increase or decrease? Explain. a) Given our value of r, y should tend to decrease as x increases.b) Given our value of r, y should tend to remain constant as x increases. c) Given our value of r, y should tend to increase as x increases.d) Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.
The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) H₁: p#0 400 412 Construct a scatterplot. Choose the correct graph below. 301 315 376 387 434 440 459 488 H₁ p > 0 477 480 319 324 352 368 417 434 330 341
X1 X2 Y X1 1.0000 0.7139 0.6147 X2 0.7139 1.0000 0.3098 Y 0.6147 0.3098 1.0000 This is my correlation matrix table. Using this, which variable explains the greatest proportion of variation in Y? What is the proportion of variation in Y that can be explained by X1? What is the proportion of variation in Y that can be explained by X2? Also what is multicollinearity?

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Find (a) the correlation (b) the covariance and (c) correlation coefficient of X and Y