Question

A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. based on the collected data, the least-squares regression line is y x ˆ = + 10.53 3.41 , where x is the number of degrees fahrenheit by which the temperature exceeds 50°. give a sentence that describes the meaning of the slope of the least-squares regression line

Answer 1

The slope of 3.41 in the least-squares regression line y = 10.53 + 3.41x indicates that for every one degree Fahrenheit increase in temperature above 50°, the number of cricket chirps per minute is expected to increase by an average of 3.41 chirps.

Step-by-step explanation:

The slope of the least-squares regression line in the relationship between the number of chirps per minute for crickets (y) and temperature is 3.41. This number represents the average increase in the number of chirp per minute for every degree Fahrenheit that the temperature is above 50°. Therefore, if the temperature increases by one degree Fahrenheit, the expected number of cricket chirps per minute increases by an average of 3.41 chirps.

Answer 2

There is an increase of 1 chirp per minute for every 3.41 degree increase in temperature.

Step-by-step explanation:

On average for each unit increase in x, there is an increase of slope units in y. If slope was negative, then there would have been a decrease in slope units.