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MATH 124 UCLA Product Moment Correlation Between Time and Proportion Questions

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Let’s take another look at data with which you are familiar. Here’s a scatterplot of the seaslug data.

regression of seaslug metamorphosis by chemical concentration

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The relationship depicted in this scatterplot is (select all that apply):

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The relationship of time to proportion is negative. This means that when the proportion is negative, the time is negative as well.

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The least squares line in red on the scatterplot has the formula listed above: Y = 0.428 – 0.013X. Briefly interpret the slope. This is similar to a question I will ask on test 1.

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What is your best guess about the product-moment correlation between time and proportion?

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Because the scatterplot doesn’t reveal a lot of skew or other things that might throw off the mean as a measure of central tendency, product-moment correlation (which is based on the mean) is preferred over rank order correlation.

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