Question

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature. Based on

the collected data, the least-squares regression line is ý = 15.66 +3.58x, where x is the number of degrees by which temperature
exceeds 60 degrees Fahrenheit. Which of the following statements best describes the meaning of the slope of the least-squares
regression line? (3 points)
For each increase of one degree Fahrenheit per day, there is an estimated increase of 15.66 hatched eggs.
O For each increase of one hatched egg, the estimated temperature per day increases by 15.66 degrees Fahrenheit.
O For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.
For each increase of one hatched egg, the estimated temperature per day increases by 3.58 degrees Fahrenheit.
The slope has no meaning because the units of measure for x and y are not the same.

Answer 1

Fahrenheit above 60 degrees, there is an estimated increase of 3.58 hatched eggs on average. The slope of 3.58 in the regression line indicates that for every degree Fahrenheit increase above 60 degrees, there's an average estimated increase of 3.58 frog eggs hatched per day.

Step-by-step explanation:

The slope of the least-squares regression line is a value that describes the rate of change between the independent and dependent variables. In the given equation ý = 15.66 +3.58x, where x represents the number of degrees by which temperature exceeds 60 degrees Fahrenheit and y represents the number of eggs hatched per day for frogs, the slope is 3.58. Therefore, the correct interpretation of the slope in this context is that for each increase of one degree Fahrenheit above 60 degrees, there is an estimated increase of 3.58 hatched eggs on average.

Answer 2

Answer: For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs

Step-by-step explanation:

took the test :)