If Candace made a scatter plot of the math scores of eighth-grade students (vertical scale) and their heights in inches (horizontal scale), what type of line of best fit should she expect the scatter plot show?

A. a line with positive slope
B. a line with negative slope
C. a horizontal line
D. There would be no line of best fit.

The correct option is (D).

Step-by-step explanation:

A scatter plot is a mathematical graph used to display the linear relationship between two variables.

Points are plotted on the graph and a line of best is drawn to represent the linear relationship between the two variables.

If the line is upward moving this implies that there is positive relation between the variables.

If the line is downward moving this implies that there is negative relation between the variables.

If there is no line of best fit that can be formed using the data provided then this implies that there is no linear relationship between the variables.

The variables math-score and height of the students has no relation between them. This is because the height of a student does not factor the score he/she received in their math exam.

So, the scatter plot for this data will not have a line of best fit.

Thus, the correct option is (D).

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.