Exam n Page 2 age Soc 194 students Since Afler a couple minstes of socializing,

Question

Exam n Page 2 age Soc 194 students Since Afler a couple minstes of socializing, someone proposed a drinking game, beer pong drink while they were watching beer pong and socialiaing, and people could have odi y agreed. By the end of the might, everyone tallied how mang (Y) Keep in mind that people could s differenn te party beer ponE partners throughout the night. Here are hew many games of beer pong ew CXX and how many beers each person consumed (V) hat night 2. What is the correlation soefficient for X and Y (10 poims? 3. What is the shared variance for beer consumption and beer pong success? Explain what this number means (5 points).

Explanation / Answer

Here for the correlation coefficent. the require values are

Here correlation coefficient

r = sqrt [[nxy - xy]2 / [n(x2 - (x)2] [n(y2 - (y)2]

r = sqrt [ ( 8 * 204 - 32 * 48)2] / [(8 *156 - 322) * (8 *  300 - 482)]

r = sqrt [9216/ (224 *96)]

r = 0.6547

(3) Here shared Variance  is represented by the square of the correlation coefficient, r2

so shared variance = 0.65472 = 0.4286

ID X Y X^2 XY Y^2 1 1 4 1 4 16 2 2 5 4 10 25 3 3 6 9 18 36 4 4 8 16 32 64 5 4 5 16 20 25 6 5 7 25 35 49 7 6 6 36 36 36 8 7 7 49 49 49 Sum 32 48 156 204 300

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