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y≈ -2.82x +87.50 and r≈-0.89 We will determine if each statement is true or false. The first statement is given as the following. The variables are time spent playing games and test averages. Since the survey examines the time spent playing games and test averages, and the collected data depends on them, the statement is true.
The variables have a negative correlation. The negative slope -2.82 and the negative correlation coefficient -0.89 state that the correlation is negative. Therefore, the statement is true.
The variables have a a weak correlation. In this case, in order to have a weak correlation, the correlation coefficient must be close to -0.5. However, the given correlation coefficient is close to -1. Therefore, the last statement is false.