Question
There is a linear relationship between the number of chirps made by a cricket and the air temperature. A least-squares fit of data collected by a biologist yields the equation:estimated temperature in $^{\circ} \mathrm{F}=22.8+(3.4)$ (the number of chirps per minute)What is the estimated increase in temperature that corresponds to an increase of 5 chirps per minute?(A) $3.4^{\circ} \mathrm{F}$(B) $17.0^{\circ} \mathrm{F}$(C) $22.8^{\circ} \mathrm{F}$(D) $26.2^{\circ} \mathrm{F}$(E) $39.8^{\circ} \mathrm{F}$
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In this case, the slope of the line is $3.4$, which represents the increase in temperature for each additional chirp per minute. Show more…
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There is a linear relationship between the number of cricket chirps and the temperature of the air. A biologist developed the regression model $y=$ $24.9+3.5 x$ , valid for values of $x$ between 10 and $24 .$ In this model $x$ is the number of chirps per minute and $y$ is the predicted temperature in degrees Fahrenheit. What is the estimated increase in temperature that corresponds to an increase of 8 chirps per minute? (A) $3.5^{\circ}$ (B) $24.9^{\circ}$ (C) $28^{\circ}$ (D) $28.4^{\circ}$ (E) $52.9^{\circ}$
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