The graph illustrates a linear relationship (one that is illustrated by a straight line) and a curvilinear relationship (one that is illustrated by a line with a curve that goes in one direction) between two variables represented on the x-axis and y-axis respectively. The graph uses the same data points for both the curves.
From the dropdown menus, select the option that creates the most accurate statement based on the information given.While we may not be familiar with the terms in this question, we can use common sense to determine which answers are correct.
1. The coordinates of the outlier data point creating a skew in the data are roughly __________.Scanning the the two lines, we see that they are fitted to four points.
Three of the four points are basically in line with each other.
One of the points, the point toward the center, is out of line with the others. So, that point is must be the outlier point.
The coordinates of the point that's not in line with the others are between 1100 and 1500 on the horizontal axis and a little over 50 on the vertical axis.
So, the correct answer to fill the blank is [1100, 60].
2. Inclusion of a point __________ in the data will make the curve shown in the graph flatter.Since the curved line is fitted to the points, to make the curve flatter, we need a point that offsets the effect of the outlier point at [1100, 60].
Such a point will be above the straight line and basically across the straight line from the outlier point.
Also, so that the additional point does not distort the curved line in a new way, it must be about the same distance from the straight line as [1100, 60]. It other words, it cannot be very far from the straight line, as is, for instance, [120, 2000].
Among the answer choices, the point that best fits those criteria is [1100, 190].
Correct answer: [1100, 60],
[1100, 190]