5. A researcher is interested in the relationship between water consumption and productivity. She records the amount of water consumed along with the number of hours spent studying four participants. The data for this hypothetical study is listed in the table below. Water Consumption Productivity (in ounces) (in hours) 8. 4 16 8. 20 6. 28 10 a. Compute the correlation for this data b. What is the predictor? c. What is the criterion? d. Compute the regression equation for this data e. What percentage of the variance in productivity is accounted for the ounces of water consumption? f. What is the predicted number of productivity hours for someone who consumes 36 ounces of water? g. Sketch a scatterplot of the data. Overlay the regression line onto the scatter plot.

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A: Explained below

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A: Given :- Equation given  10x2 - 2x + 4x = 5x-2.

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.