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An admissions committee decided to use SAT scores as an entrance requirement for their University. They asked prospective students to submit SAT scores (range

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An admissions committee decided to use SAT scores as an entrance requirement for their University. They asked prospective students to submit SAT scores (range 400-1600) with their applications. The data listed below are for 10 first year students. SAT Scores College GPA 1550 4.00 1400 3.60 1250 3.85 1150 2.75 1450 3.00 1200 2.85 1050 2.00 1250 3.00 1200 3.25 1150 3.75 = = = = = M = M= XY Enter the data on your calculator and for each variable, calculate the sum of x, the sum of squares, the square of sums and the mean score. Be sure to round all statistics to 3 decimal places to avoid rounding error. Answer the questions below. 1. Based on the results on the computer printout, what is the degree of relationship between SAT scores and College GPA? 2. What is the coefficient of determination for SAT scores and College GPA? 3. What is the coefficient of non-determination for SAT scores and College GPA? 4. Calculate a regression equation using SAT scores as the predictor and College GPA as the criterion variable. Write out the complete regression equation and make sure you include the names of the variables in the equation. 5. Veronica is applying to the University and she scored 1400 on her SAT. What do you predict her first year College GPA will be?

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