Determine the correct value of the slope for the linear model that predicts gas bill price from monthly temperature and interpret it in context.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Data were recorded for 117 months on a household's gas bill (in dollars) and the average monthly temperatures for its neighborhood. The mean monthly temperature was 48.7°F with a standard deviation of 20.6. The mean gas bill price was $81.20 with a standard deviation of 66.5. The correlation coefficient between monthly temperature and gas bill price is -0.92.

22) Determine the correct value of the slope for the linear model that predicts gas bill price from monthly temperature and interpret it in context.

  1. The slope is - 2.97. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $2.97.

  2. The slope is - 0.28. For every one degree increase in monthly temperature, the gas bill price is predicted to decrease by $0.28.

  3. The slope is - 2.97. For every one dollar increase in gas bill price, the monthly temperature is predicted to decrease by 2.97°.

  4. The slope is - 0.28. For every one dollar increase in gas bill price, the monthly temperature is predicted to decrease by 0.28°.

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