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Y is known to be proportional to the square root of X, where X and Y are positive numerical values drawn from a series of experiments.Question 24Which of the following plots is most likely to show a linear relationship between the variables?Y² against XY against X²Y against log(X)Log(Y) against X

Question

Y is known to be proportional to the square root of X, where X and Y are positive numerical values drawn from a series of experiments.Question 24Which of the following plots is most likely to show a linear relationship between the variables?Y² against XY against X²Y against log(X)Log(Y) against X

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Solution

The plot that is most likely to show a linear relationship between the variables is Y² against X. This is because if Y is proportional to the square root of X, then squaring Y would make it proportional to X, resulting in a linear relationship.

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