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Myron records the number of chirps per minute (x) that crickets make atdifferent temperatures in degrees FahrenheitHe determines that the association is linear and that the line of best fit isy = 1/6x+50What is the interpretation of the slope and intercept of this equation?

Myron records the number of chirps per minute (x) that crickets make atdifferent temperatures-example-1
User SmrtGrunt
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We have a relation between the chirps per minute (in the horizontal axis, x) and the temperature (in the vertical axis, y).

The linear model will have a slope and a y-intercept.

The slope will show the rate of change of y (in this case, representing the temperature) respect to x (in this case, the number of chirps per minute).

The y-intercept will show the temperature (y) for a value of chirps per minute of x = 0, meaning the temperature when the crickets are not chirping.

We can see in the graph that the slope is positive, as the temperature increases with the increase in the chirps per minute.

We also can see that the temperature for 0 chirps per minute is approximately 50 °F.

The slope is m = 1/6 and tells us that the temperature increases 1/6 °F for a unit increase in the chirps per minute.

Then, the correct statement from the options is:

"The slope predicts a temperature increase of about 1/6 °F for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 50 °F." [Option C]

User Arvindh
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