Question

Arnold has recorded the number of chirps per minute ( x) that crickets makeat different temperatures (y).He has determined that the association is linear and that the line of best fit isy= 1x + 50.What is the interpretation of the slope and y-intercept of this equation?10090Temperature (°F)y = **+ 50706050403020105 10 15 20 25 30 35 40 45 50Chirps per minuteA. The slope predicts a temperature increase of about 4 for everyincrease of 50 chirps per minute. The y-intercept shows that whenthe crickets are not chirping (x = 0), the temperature is 1B. The chirping increases as the temperature goes downO C. The slope tells us that for every increase of 1 chirp per minute, wepredict that the temperature increases by 40°. The wintercept tellsus that when the crickets are not chirping (when x = 0), thetemperature is 0O D. The slope predicts a temperature increase of about 1. for everyincrease of 1 chirp per minute. The y-intercept shows that whenthe crickets are not chirping (x = 0), the temperature is 50

Answer 1

The interpretation of the slope and y-intercept of the equation:

`y=(1)/(4)x+50`

Is option D.

From the equation we read that:

- The slope is: 1/4

- The y-intercept is: y = f(0) = 1/4 * 0 + 50 = 50