Identify the true statements about the correlation coefficient, R.R cannot be greater than 1 or less than -1.The absolute value of R describes the magnitude of the association between two variables.When the data points in a scatter plot fall closely around a straight line that is either increasing or decreasing, thecorrelation between the two variables is strong.The correlation coefficient is not affected by outliers.A correlation coefficient of zero means that no relationship exists between the two variables.If two variables are negatively correlated, when one variable increases, the other variable also increases.

It is needed to discuss the correlation coefficient, R.

Answered: Identify the true statements about 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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An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate(y beats per minute) 166 150 134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.)(b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept. The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.)ŷ = (d) Use the equation of the least-squares line from part (c) to predict the maximum…
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The correlation coefficient ranges from which two values?
What does a correlation coefficient of 2 indicate? There is a weak relationship between the two quantitative variables. It indicates a calculation error, as the correlation coefficient cannot be 2. There is a strong relationship between the two quantitative variables. It indicates a non-linear relationship between the two quantitative variables. There is no linear relationship between the two quantitative variables.
A survey was taken in 2018 that asked people about their saving habits. Researchers wanted to know if people who saved more also spent less. The scatterplot below shows their results when comparing two variables: the amount people reported that they put into savings each month, and the amount they reported that they spent on clothes. The researchers found the correlation coefficient for this data to be -0.239. Which of the following is true about these variables? a. There is no relationship between savings and money spent on clothes each month.b. There is a weak, positive linear relationship between savings and money spent on clothes each month.c. There is a perfect, negative linear relationship between savings and money spent on clothes each month.d. There is a weak, negative linear relationship between savings and money spent on clothes each month.
Which of the following is true of the correlation r? It measures the strength of the straight-line relationship between two quantitative variables. It cannot be greater than 1 or less than 1. A correlation of +1 or –1 can only happen if there is a perfect straight-line relationship between two quantitative variables. Correlation is 0 only when there is no association between the variables. Correlation changes when the explanatory and response variables are switched.
When two variables have a perfect linear relationship, the correlation coefficient is always 1. True False
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…
A history instructor has given the same pretest and the same final examination each semester. he is interested in determining if there is a relationship between the scores of the two tests. he computes the linear correlation coefficient and notes that it is 1.15. what does the correlation coefficient value tells the instructor? a. there is a strong positive correlation between the test b. there is a strong negative correlation between the test c. the history instructor has made a computational error d. the correlation is something other than linear
A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
What are some of the possible reasons for large correlations betwen a pair of variables, X and Y?
Explain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two variables is (a) perfect positive, (b) perfect Negative, (c) zero?

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