44- Which of the following technique is used to find the relationship between two variables? a. Multiple correlation b. Zero Correlation c. All d. Simple correlation

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.

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…

Two statistically independent random have variances of Variables X and 0² and new ran- dom T variables Y 54 are + = 25. TWO defined by U = 3x + 4 Y V = 5X-2Y