quiz7Sp2011_key

# quiz7Sp2011_key - NAME Stat 205 Quiz 7 Take-Home Quiz due...

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NAME: Stat 205 Quiz 7 Take-Home Quiz due by beginning of class, Thursday April 7 Population and drinking data were recorded in n = 46 States in the U.S. X is the consumption of wine per capita (bottles/year) and Y is the death rate from cirrhosis (per 100,000). Here’s a scatterplot: 5 10 15 20 25 30 40 60 80 100 120 wine death_rate For these data, n = 46 ¯ y = 63 . 49 ¯ x = 11 . 59 X ( x i - ¯ x )( y i - ¯ y ) = 6167 X ( x i - ¯ x ) 2 = 2155 X ( y i - ¯ y ) 2 = 24741 SS ( resid ) = 7091 1. Compute the least squares estimates b 0 and b 1 for regressing cirrhosis death rate on wine consumption. Answer b 1 = ( x i - ¯ x )( y i - ¯ y ) ( x i - ¯ x ) 2 = 6167 2155 = 2 . 86 , b 0 = ¯ y - ¯ xb 1 = 63 . 49 - 11 . 59(2 . 86) = 30 . 33 .

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2. Draw the regression line onto the scatterplot (other side); describe the relationship. Answer Pick two points on the ﬁtted line and connect the dots. For example
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quiz7Sp2011_key - NAME Stat 205 Quiz 7 Take-Home Quiz due...

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