Question

20 POINTS PLEASE HELP TWO QUESTIONS!!!!

1. A scatter plot with a line is shown below.

[Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 2 and 2, 3 and 3,4 and 4, 4 and 5, 6 and 6, 8 and 7, 8 and 8, 11 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0 and 8, 15.]

Which statement is most likely correct about the line?

[I think the answer is A]
It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it does not show positive association.
It cannot be the line of best fit because it is not closest to most of the points.

2. A scatter plot is shown below:

[A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 12 and 2, 12 and 3, 13 and 4, 10 and 5, 8 and 6, 5 and 7, 7 and 8, 3 and 9, 3 and 10, 0 are shown on the graph.]

Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
[I think the answer is A]
(0, 15) and (10, 1)
(0, 15) and (10, 13)
(0, 10) and (5, 0)
(0, 10) and (10, 10)

Answer 1

1. The line in the first scatter plot lacks a clear positive association with the points, suggesting it is not the best fit. Shown in fig 1. Option c is right choice.

2. For the second plot, joining (0, 15) and (10, 1) best captures the overall trend of the data for the line of best fit. Shown in fig 2. Option a is right choice.

1. The correct statement about the line in the first scatter plot is:

It cannot be the line of best fit because it does not show positive association.

The line in the plot does not exhibit a clear positive association with the scatter points. It seems to deviate from the general trend of the points, and there is no indication that it represents the best fit for the data.

Option c is right choice.

2. For the second scatter plot, to determine the best line of fit, we look for points that help capture the overall trend of the data. The best choice among the given options is:

(0, 15) and (10, 1)

These points span the range of the data and help capture the general trend in the scatter plot. Option a is right choice.