13 a the 3 conditional distributions are

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13. A – The 3 conditional distributions are significantly different, so there is a relationship between the two variables.
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14. B – The reversal of the relationship between two categorical variables is Simpson’s paradox. 15. C – The closer r is to –1 or 1, the stronger the relationship. 16. D – The closer r is to 0, the weaker 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 = 482 – ( 53 ) ( 59 ) 5 = 482 – 625.4 = –143.4 r = xy xx yy S S S = 143.4 ( 139.2 )( 152.8 ) = –0.9833
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STAT 210 TEST 3 SOLUTIONS – Version B Question Answer 1. The population of interest is all earthquakes that have occurred between January 2015 and September 2017. 2. Number of People Killed is the dependent or response variable Y. 3. Magnitude of Earthquake is the independent or explanatory variable X 4. 91.32 people (91 or 92 people) – predicted number of people killed = -114 + 35.4(5.8) = 91.32 5. 6. The actual r = 0.64. Any guess between 0 and 0.75 is acceptable. 7. B – The point stands out from the rest of the data in the vertical direction. It is within the range of the X data. 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. 9. F – The intercept tells us what Y would be if X were equal to zero. 10. E – The slope tells us how much Y changes when X increases by one.
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