2.89 Random variables X and Y follow a joint distributionf(x, y)0 137000127037018709702970 703N20E1870 703700Determine the correlation coefficient between X and Y.

Solution-:We have given the following table:…

Answered: 2.89 Random variables X and Y follow a…

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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Determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=−0.599 α=0.01, n=11 Yes or No?
A recent survey reported that small businesses spend 26 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 26 hours a week on marketing. The chamber conducts a survey of 89 small businesses within their state and finds that the average amount of time spent on marketing is 24.6 hours a week. Assuming that the population standard deviation is 6.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.01 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Compute the Pearson correlation for the following data.X: 2, 3, 6, 4, 5 Y :3, 1, 5, 4, 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. Use a two-tailed test with a = 0.1. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 17 16 18 15 12 14 17 17 11 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. a: μ = 14; H1: μ < 14 b: μ = 14; H1: μ ≠ 14 c: μ > 14; H1: μ = 14 d: μ < 14; H1: μ = 14 e: μ = 14; H1: μ > 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume…
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Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².
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Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)

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2.89 Random variables X and Y follow a joint distribution 0 1 0 2 0 x 1 2 3 70 9 70 2 18 18 70 70 70 9 3 70 3 3 70 3 70 Determine the correlation coefficient between X and Y. 70 2 70 0