11 c on the scatterplot we can see that the original

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11. C – On the scatterplot, we can see that the original data for magnitude of the earthquake ranges from about 1.5 to 7.5. The value of a magnitude 10.0 earthquake would be far outside the range of the data, so making a prediction for X = 10.0 would be extrapolation. 12. B – It is something other than the two variables being studied that affects the relationship. 13. C – The 3 conditional distributions are significantly different, so there is a relationship between the two variables.
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14. D – The reversal of the relationship between two categorical variables is Simpson’s paradox. 15. B – The closer r is to 0, the weaker the relationship. 16. E – The closer r is to –1 or 1, the stronger the relationship. 17. S xx = ∑ x 2 n x 2 = 701 – ( 53 ) 2 5 = 701 – 561.8 = 139.2 S yy = ∑ y 2 n y 2 = 849 – ( 59 ) 2 5 = 849 – 696.2 = 152.8 S xy = ∑ xy –  n y x = 512 – ( 53 ) ( 59 ) 5 = 512 – 625.4 = –113.4 r = xy xx yy S S S = 113.4 ( 139.2 )( 152.8 ) = –0.7776
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STAT 210 TEST 3 SOLUTIONS – Version C Question Answer 1. The population of interest is all earthquakes that have occurred between January 2015 and September 2017. 2. Magnitude of Earthquake is the independent or explanatory variable X. 3. Number of People Killed is the dependent or response variable Y. 4. 5. The actual r = 0.64. Any guess between 0 and 0.75 is acceptable. 6. E – The point stands out from the rest of the data in the vertical direction. It is within the range of the X data. 7. 59.46 people (59 or 60 people) – predicted number of people killed = -114 + 35.4(4.9) = 59.46 8. The scatterplot shows a weak to moderate linear relationship between the magnitude of the earthquake and the number of people killed. It is really more of a non-linear (exponential) relationship. The direction is positive.
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