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Is the magnitude of an earthquake related to the depth below the surface at which the...

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Basic Math

Is the magnitude of an earthquake related to the depth below thesurface at which the quake occurs? Let x be the magnitude of anearthquake (on the Richter scale), and let y be the depth (inkilometers) of the quake below the surface at the epicenter. x 3.44.0 3.3 4.5 2.6 3.2 3.4 y 5.5 10.0 11.2 10.0 7.9 3.9 5.5 (a) Make ascatter diagram of the data. Then visualize the line you think bestfits the data. (b) Use a calculator to verify that ?x = 24.4, ?x2 =87.26, ?y = 54.0, ?y2 = 463.56 and ?xy = 192.38. Compute r. (Roundto 3 decimal places.) As x increases, does the value of r implythat y should tend to increase or decrease? Explain your answer.Given our value of r, we can not draw any conclusions for thebehavior of y as x increases. Given our value of r, y should tendto decrease as x increases. Given our value of r, y should tend toincrease as x increases. Given our value of r, y should tend toremain constant as x increases.

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Solution Part a Scatter 12 10 8 6 4 2 0 05 10 15 20 25 30 35 40 45 50 Answer 1 Part b x y x2 y2 xy 34 55 1156 3025 1870 40 100    See Answer
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