Question
The table shows the temperature and number of tickets sold at a movie theatre . Construct a scatter plot of the data. Is there a relationship between temperature and the number of tickets sold?
Determine the scales and plot the points.
Hint:
Scatter plot is a graphical represenation of data using a set of cooridnate points. A scatter plot has an inverse relation if one variable increases, when the other decreases.
We are asked to plot the scatter graph, check if there exists a relationship between the temperature and the tickets sold.
The correct answer is:
Step 1 of 3:
Let Temperature be taken on the x- axis and the tickets sold be taken on the y- axis.
Then the corresponding coordinate points are;
(40,120),(45,100),(50,125),(55,105),(60,90),(65,105),(80,60),(85,55),(90,60),(95,50)
Step 2 of 3:
Plot the points on the graph to get the scatter plot.
Step 3 of 3:
Analyzing the graph, it is clear that as the temperature increases, the tickets sold decrease. That is, there exists an inverse relation among the variables.
These show the existence of a negative linear relationship.
The scales 1 interval =100 units.
.
Step 3 of 3:
Analyzing the graph, it is clear that as the temperature increases, the tickets sold decrease. That is, there exists an inverse relation among the variables.
These show the existence of a negative linear relationship.
The scales 1 interval =100 units.
.
A scale is a system of marks at fixed intervals, which define the relation between the units being used and their representation on the graph
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