Determine the x-coordinate that would yield a y-coordinate of 30, assuming the pair follows the same trend that currently exists in the data set below.
{(45, 18), (38, 21), (26, 31), (64, 13), (29, 28), (33, 25), (49, 17)}
a.
18
b.
27
c.
36
d.
38

The correct option is B. 27

Step-by-step explanation:

The data points are given to be : {(45, 18), (38, 21), (26, 31), (64, 13), (29, 28), (33, 25), (49, 17)}

Now, we plot all these points on the graph  

We need to find the x-coordinate with respect to y-coordinate of 30 that best fits the given data

First take : x = 18 ⇒ The point is :  (18, 30)

But when we plot this point, (18, 30) acts as an outlier for the given data so this value of x is rejected.

Take : x = 27 ⇒ The point is :  (27, 30)

Now, when we plot this point, (27, 30) best fits the given data so this value of x is accepted.  

Take : x = 36 ⇒ The point is :  (36, 30)  

But when we plot this point, (36, 30) acts as an outlier for the given data so this value of x is rejected.  

Take : x = 38 ⇒ The point is :  (38, 30)

But when we plot this point, (38, 30) acts as an outlier for the given data so this value of x is rejected.

Hence, The required value for the x-coordinate is, x = 27

Therefore, The correct option is B. 27

The correct option is B .i.e, 27

Step-by-step explanation:

Given:

{(45, 18), (38, 21), (26, 31), (64, 13), (29, 28), (33, 25), (49, 17)}

To find  : the x-coordinate when y-coordinate is 30.

To know the trend we pot these point on the graph.

Graph is attached.

when we take given value in option as x-coordinate and 30 as y-coordinate with them.

we get ( 18 , 30 ) , ( 36 , 30 ) , ( 38 , 30 ) & ( 27 , 30 )

Clearly marking them also on same graph we get to know which point follows the trend off given data set points.

From the attached graph ( 27 , 30 ) follow the trend.

So, the required x-coordinate is 27.

Therefore, The correct option is B .i.e., 27