Identify the true statements about the correlation coefficient, r. When the data points in a scatter plot fall closely around a straight line that is either increasing or decreasing, the correlation between the two variables is strong. The correlation coefficient is not affected by outliers. The value of r ranges from negative one to positive one. The absolute value of r describes the magnitude of the association between two variables. 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.

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…

Determine if correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.  Your daily calorie intake and weight. (a) Positive (b) Negative (c) No correlation

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