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14. DETAILS MY NOTES ASK YOUR TEACHER A study was conducted to determine whether the amount a person spends per month on groceries correlates In

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14. DETAILS MY NOTES ASK YOUR TEACHER A study was conducted to determine whether the amount a person spends per month on groceries correlates In a linear fashion to monthly Income. Income $850 $1,200 $1,050 $910 $810 $890 $1,160 Amount $60 $180 $150 $130 $45 $94 $145 (a) Which of the following best describes the direction of the correlation If the correlation coefficient Is r = 0.905 for the data set? There Is a negative correlation. There is no correlation. O There Is a positive correlation. O There Is a correlation, but It Is neither positive nor negative. (b) Which of the following best describes the strength of the correlation If the correlation coefficient Is r = 0.905 for the data set? O moderate linear relationship strong linear relationship O weak linear relationship O very weak linear relationship O no linear relationship (c) Referring to the scenario above and the r value found, what Is the Implication for the behavior of y as x Increases? O Based on the given value of r, we cannot draw any conclusions for the behavior of y as x Increases. O Based on the given value of r, y should tend to Increase as x Increases, Based on the given value of r, y should tend to decrease as x Increases. O Based on the given value of r, y should tend to remain constant as x Increases

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