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A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television
A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television each day and his or her SAT verbal score. The correlation coefficient and the means and standard deviations are listed in the table below. Use this information to answer Problems 1-5.
A research interested in the study habits of college freshman computed a correlation coefficient between the average number of hours a student spends watching television each day and his or her SAT verbal score. The correlation coefficient and the means and standard deviations are listed in the table below. Use this information to answer Problems 1-5. Daily Hours Spend Watching SAT Television (X) Verbal (Y) Mean 2.7 471.5 Standard Deviation 0.125 9.433 Correlation Coefficient 0.943 1. What is the predicted daily hours spent watching television of a student who has an SAT verbal score of 600? Note: round all calculations to 3 decimal places. a. 1.913 hours. b. 3.422 hours. c. 0.581 hours. d. 1.030 hours. 2. What is the standard error of the estimate for the predicted value in #1? a. 1.450 b. 0.123 c. 0.042 d. 0.211 3. What is the predicted daily hours spent watching television of a student who has an SAT verbal score of 425? a. 3.281 b. 8.513 c. 2.444 d. 3.007 4. What is the predicted SAT verbal score of a student who spends 0.5 hours per day watching television? a. 698 b. 575 c. 515 d. 6285. What is the standard error of the estimate for the predicted value in #4? a. 10.258 b. 3.141 c. 2.006 d. 5.469 For this Lesson you will be given these formulas for the examination: Zy = Zy ' 1XY Zy = ZX ' 1XY rxy . SX . ( Y - Y ) + X Y' = I XY . SY . ( X - X) + Y X' = Sx SY SY b = COVXY SX = rxy Sy a = Y - (b . x ) X = by + a COVXY SX b = Y = bX + a S'Y = (XY' Sy a = X - (b . Y) SXY = Sx V1 - 2 Syx = Sy V1 - 72Step by Step Solution
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