Question

6. Based on the scatterplot shown:

a.) Describe the association.
ne
incar, moderate
3
2
b.) What is the approximate y-intercept of the LSRL?
C
c) Use the graph to predict what the output would be with an input of 4.

Answer 1

The association is a negative linear association

The y-intercept of the LSRL is 5

The output is 1 when the input is 4

How to determine the association of the scatterplot

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a negative linear association.

Hence, the association is a negative linear association

The y-intercept of the LSRL

From the graph, we have the points (3, 2), (2, 3) and (1, 4)

We can see that

Adding the x and y coordinates give 5

So, we have

y + x = 5

This gives

y = 5 - x

The y-intercept of the LSRL is when x = 0

So, we have

y = 5 - 0

y = 5

Hence, the y-intercept of the LSRL is 5

Predicting the output when the input is 4

Here, we have

x = 4

So, we have

y = 5 - 4

y = 1

Hence, the output when the input is 4 is 1