The correlation between amount of sleep students get the night before the test and their performance shows that the less sleep they get the lower their grades. This would be an example of

A phrase often repeated in this class is "correlation is not causation". Which of the following best describes what this phrase means? Correlation is not causation means that just because two values appear to be related on a graph doesn't mean that one necessarily causes the other. Correlation is not causation means that when we see values that move together (e.g. ice cream sales and murder rates), we can assume that one must be causing the other. Correlation is not causation means that if values move in opposite directions (e.g. average temperature goes down and grades go up), we can assume that one must influence to the other. O Correlation is not causation means that when values are shown to be related in a graph, this is proof that they are not causal.

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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…