The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting speed in words per minute.

Question

The coordinate points below show part of the data collected by the cell phone company, where x is age in years and y is texting speed in words per minute.

(12, 16), (13, 18), (13, 10), (14, 16), (15, 9), (15, 8), (16, 17), (17, 23)

If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.
Yes, there is a relationship. As age increases, texting speed also increases.
Yes, there is a relationship. As age increases, texting speed decreases.
Yes, there is a relationship. As texting speed decreases, age also decreases.
No, there is no clear relationship between age and texting speed.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine if there is a relationship between the variables based on the provided coordinate points, let's analyze the data:

The points are:

(12, 16)
(13, 18)
(13, 10)
(14, 16)
(15, 9)
(15, 8)
(16, 17)
(17, 23)

From these points, we can observe the following:

The age (x-coordinate) ranges from 12 to 17.
The texting speed (y-coordinate) varies widely and does not consistently increase or decrease with age. For example:
- At age 12, the texting speed is 16.
- At age 13, the texting speeds are 18 and 10 (showing a decrease).
- At age 14, it is 16 (similar to age 12).
- At age 15, the speeds are 9 and 8 (a decrease).
- At age 16, the speed is 17 (an increase).
- At age 17, the speed is 23 (a further increase).

While there are some instances where texting speed increases with age, there are also examples where it decreases. The variability in texting speeds at the same and different ages suggests that there is no consistent pattern in the relationship between age and texting speed.

Based on this analysis, the correct conclusion is: No, there is no clear relationship between age and texting speed.