Maths-

General

Easy

Question

# The table shows the distance in miles and price of airfare in dollars.

Construct a scatter plot

Is there a relationship between distance and airfare? Explain.

Hint:

### A scatter plot used dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

We are asked to plot the scatter graph and check if there exists a relationship between the distance and the airfare.

## The correct answer is: We are asked to plot the scatter graph and check if there exists a relationship between the distance and the airfare.

### ANSWER:

Step 1 of 3:

Let the distance be on the x- axis and the airfare be on the y- axis. Then the corresponding coordinate points are:

(200,250),(250,300),(300,275),(350,150),(400,400),(450,425),(500,350),(550,250),(600,475),(700,325),(750,200)

Step 2 of 3:

Plot the points to get the scatter plot.

Step 3 of 3:

Analyzing the graph, it is clear that there is no exact relationship between the distance and the airfare. Even though there is an increase in the airfare as the distance increase, the increase is not steady.

Step 3 of 3:

Analyzing the graph, it is clear that there is no exact relationship between the distance and the airfare. Even though there is an increase in the airfare as the distance increase, the increase is not steady.

It not necessary that every set of variables in a data set must have a linear relationship. There are instances where the variables are related and not.

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