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Answer :
Final answer:
Problem 17 instructs you to draw a scatter diagram, compute the correlation coefficient by hand, and determine if there is a linear relation between two variables.
Explanation:
The instructions in problem 17 are likely requiring you to do the following: (a) Draw a scatter diagram or scatter plot of the given data. This plot is a graph in which the values of two variables are plotted along two axes. (b) Calculate the correlation coefficient by hand. This is a measure that determines the degree to which two variables' movements are associated. It is often denoted by 'r', and ranges from -1 (perfect negative correlation) to +1 (perfect positive correlation). (c) Determine if there is a linear relation between x and y variables. A linear relation would mean that as x increases, y either consistently increases (positive correlation) or decreases (negative correlation).
For example, if examining exam scores, 'x' might be the score on the third exam and 'y' might be the final exam score. In such a scenario, the scatter plot would display each student's third and final exam scores, the correlation coefficient would indicate the strength and direction of the relationship between those scores, and the determination of a linear relationship would indicate whether prediction of a final exam score could be reasonably accurate based on a third exam score.
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