Correlation and regression are two closely related topics in statistics. For each of the following statements, indicate whether the statement is true ofcorrelation, true of regression, true of both correlation and regression, or true of neither correlation nor regression.Both CorrelationNeither CorrelationRegressionCorrelationand Regressionnor RegressionCan tell you whether one variable (such as smoking) causesanother (such as cancer)Provides a way to predict a specific value of one variable(such as weight) from the value of another variable (such asheight)Can be tested for statistical significance

Answered: Correlation and regression are two…

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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Statistics - Regression Analysis
Which of the following best describes the Pearson correlation for these data? X Y 2 5 5 1 3 4 4 2
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…
Understanding the Concepts and Skills In each of Problems, fill in the blank. One use of the linear correlation coefficient is as a descriptive measure of the strength of the ______relationship between two variables.
Fully explain the issues and problems with the below correlational data. Focus on the data in the highlighted box versus the rest of the data. Do not try to explain the data, but rather focus on the statistical issues and problems. IF YOU CAN'T SEE THE IMAGE HERE. PLEASE GO TO THIS LINK Linke 10 6. 8. 7. 5. 4. 10 20 30 40 50 60 70 80 90 100 Age Enjoyment of Hip-Hop
What is another possible explanation for this correlational relationship? Since this is just a correlation, we can’t be sure if age causes changes in your field goal percentage. So, what is one possible other explanation that you can come up with for the correlation that you calculated (hint: think about possible "third variable" explanations for this correlation---what other variables or factors might be causing changes in both x and y that could explain this correlation?).
What is another possible explanation for this correlational relationship? Since this is just a correlation, we can’t be sure if age causes changes in your field goal percentage. So, what is one possible other explanation that you can come up with for the correlation that you calculated (hint: think about possible "third variable" explanations for this correlation---what other variables or factors might be causing changes in both x and y that could explain this correlation?).
You conduct a Pearson Product-Moment correlation test to see if two variables are related to each other. Even though the test is significant, you suspect that there actually isn't a real relationship between X and Y, and that they only seem to be related because of their relationship to another variable Z. This is called: bi-directionality the third-variable problem reverse-causality a causal effect
Answer
True or False The multiple correlation coefficient is the percent of variation in the independent variable explained by the other independent variables. Answer choices: True False

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