Question
Students studying for a state achievement test were asked to keep track of the total number of hours that they spent playing video games during
Students studying for a state achievement test were asked to keep track of the total number of hours that they spent playing video games during the two weeks before the test. In the following table, x is the number of hours spent playing video games and y is the student's score on the achievement test (out of 130).
Hours Playing Video Games and Achievement Test Scores | ||||||||
Hours Playing Games, x | 12 | 15 | 14 | 10 | 11 | 13 | 12 | 14 |
Test Score, y | 99 | 63 | 79 | 115 | 108 | 82 | 98 | 73 |
a) Find the equation of the least squares regression line, with coefficients rounded to three decimal places, if necessary: (for example: y = 5.324 + 0.893x) (2 pts)
b) In this situation, the absolute value of the correlation coefficient, r, must be 0.707 in order to use this least squares regression line to make predictions. Find the value of r. Is it appropriate to make predictions with this line? If so, predict the achievement test score of a student who spent 11.5 hours playing video games. (2 pts)
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