Chapter 3, Problem 1RWYL

To determine

(a)

The scatter plot for the known data.

Answer to Problem 1RWYL

It required scatter plot is shown in figure $\left(1\right)$.

Explanation of Solution

Given information:

The data is given by,

X	Y
70	88
58	52
85	84
82	74
70	80
40	36
85	48
85	96

Concept used:

A scatter plot (also called a scatter, scatter graph, scatter chart, scatter gram, or scatter diagram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Consider the given data.

X	Y
70	88
58	52
85	84
82	74
70	80
40	36
85	48
85	96

The scatter plot is shown in figure $\left(1\right)$.

  

Figure $\left(1\right)$

Therefore, the required scatter plot is shown in figure $\left(1\right)$.

To determine

(b)

The pattern of the scatter plot of the given data.

Answer to Problem 1RWYL

The relationship between the variables is positive linear and strong.

Explanation of Solution

Given information:

The data is given by,

X	Y
70	88
58	52
85	84
82	74
70	80
40	36
85	48
85	96

Concept used:

A scatter plot (also called a scatter, scatter graph, scatter chart, scatter gram, or scatter diagram) is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Consider the given data.

X	Y
70	88
58	52
85	84
82	74
70	80
40	36
85	48
85	96

The scatter plot is shown in figure $\left(1\right)$.

  

Figure $\left(1\right)$

Scatter plot shows that relationship between the variables midterm $1$ and midterm $2$ is upward. That is relationship between the variables is positive. Graph shows a linear relationship between the variables. There is not apparent outlier to data.

Therefore, the relationship between the variables is positive linear and strong.