Question

An agriculture researcher selected 8 chicken farms from across the state. The researcher recorded the number of hens and the number of eggs laid by those hens over a 24 hour period. The researcher then calculated a line of best fit for the data. The equation of the line of the best fit was

y=0.97x+3.06

Where x represents the number of hens and y represents the number of eggs.

Which statement is true?

A. 0.97 represents the average number of eggs laid by a hen per day

B. 3.06 represents the average number of eggs laid by a hen per day

C.0.97 represents the average number of hens that laid eggs per day

D.3.06 represents the average number of hens that laid eggs per day

Answer 1

Answer: C

Explanation:

Answer 2

The average number of eggs laid per hen per day is given by 0.97.

Explanation:

According to a research, it is recorded that the number of hens (given by x variable) and the number of eggs (given by y variable) laid by those x hens over a day is given by the equation

y = 0.97x + 3.06 ....... (1)

Now, here 0.97 is the slope of the line that means the average number of eggs laid per hen per day is given by 0.97. (Answer)