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# Focus5 - Sxx = 519,557 –(3,491^2/30 = 113,320.967 Syy =...

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STAT 210 FOCUS EXERCISE 5 It is of interest to determine how well the “number of years since founding” predicts the “current enrollment” . 1. Identify the independent (explanatory) variable and the dependent (response) variable. Independent: Number of Years Since Founding Dependent: Current Enrollment 2. Construct a scatterplot to graphically display the relationship between “number of years since founding” and “current enrollment” for this data. See below. 3. Calculate the correlation coefficient between “number of years since founding” and “current enrollment” for this data. Note the sums given below.
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Unformatted text preview: Sxx = 519,557 – (3,491^2)/30 = 113,320.967 Syy = 2,760,152,898 – (160,608^2)/30 = 1,900,321,909 Sxy = 17,450,221 – (3,491x160,608)/30 = -1,239,196.6-1239196.6 / sqrt (113,320.967 x 1900,321,909) = -0.08444452353 4. What can you say about the relationship between the two variables? Use the results above and interpret the value of the correlation coefficient. It is slightly negative. The relationship is linear but extremely weak. There seems to be little to no relationship between the two variables. 50 100 150 200 250 300 5000 10000 15000 20000 25000 30000 Age of College vs. Current Enrollment...
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