Attempts: Do No Harm: 13 6. A second interpretation for Pearson r Aa Aa You are
ID: 3070427 • Letter: A
Question
Attempts: Do No Harm: 13 6. A second interpretation for Pearson r Aa Aa You are a dolphin trainer at SeaWorld. You are interested in the relationship between the number of fish treats a dolphin receives as a reward for a successful attempt at a trick (X) and the number of repetitions it takes the dolphin to learn a new trick (Y). You randomly select four SeaWorld dolphins and randomly assign the number of treats each dolphin will receive (one, two, three, or four) during its training. The dolphins, number of treats (per successful attempt at the trick), and the number of repetitions to learn the trick are: Number of Number of Repetitions (Y) 8 6 DolphinTreats (X) Ursula Fatima Clyde Tabasco 4 The scatter plot of the paired X and Y values and the regression line are shown on the following graph. You can hover your mouse over the regression line to obtain its slope and intercept. NUMBER OF REPETITIONS [Y) 10 Y-Y-barExplanation / Answer
Fro tabasco, the deviation of Y4 is 1, the error in prediction is 0.5, and the deviation of Y4 accounted for the relationshipe between X and Y is -0.9129
From the given data
r = sqrt (5/6)
= .9129
91.29% of the variabilti in the numbe rof repetition to learn a newtrick can be explained by the number of fish treats provided as a reward
SST SSE SSR X Y Ycap/fit (Y-Ybar)^2 (Y-Ycap)^2 (Ycap-Ybar)^2 1 8 7.5 4 0.25 2.25 2 6 6.5 0 0.25 0.25 3 5 5.5 1 0.25 0.25 4 5 4.5 1 0.25 2.25 10 24 6 1 5Related Questions
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