Question

Select the best interpretation of the slope.

A. The number of cell phones is predicted to be 3 million when the number of main lines is 1 million.
B. The number of cell phones is predicted to increase by 1 million when the number of main lines increases by 3 million.
C. The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 25 million.
D. The number of cell phones is predicted to be 3 million when the number of main lines is 0 million.
E. The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million.

Answer 1

The best interpretation of the slope is that the number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million.

Step-by-step explanation:

The best interpretation of the slope is option E. The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million. In other words, for every 1 million increase in the number of main lines, there is a predicted increase of 3 million cell phones.

Answer 2

The correct interpretation of the slope is that the number of cell phones increases by 3 million for each additional million main lines.The correct option is:C. The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 25 million.

Step-by-step explanation:

The best interpretation of the slope in a scenario involving the relationship between numbers of cell phones and main lines is option E: The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million.

This is because the slope of the best-fit line tells us how the dependent variable (commonly labeled as 'y') changes for every one unit increase in the independent variable (commonly labeled as 'x'), on average.

So, if we are interpreting a slope value as '3' in this context, it means that for each additional million main lines, we would expect, on average, the number of cell phones to increase by 3 million.The correct option is:

C. The number of cell phones is predicted to increase by 3 million when the number of main lines increases by 25 million.