Medal

The table below shows the distance y, in miles, traveled by a toy car in x minutes:

Time (x)

(minutes)

10 20 30 40

Distance (y)

(miles)

4 8 12 15

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car.

[Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent?

Question

Mathematics

Sophia Frey

1 July, 14:19

Medal

The table below shows the distance y, in miles, traveled by a toy car in x minutes:

Time (x)

(minutes)

10 20 30 40

Distance (y)

(miles)

4 8 12 15

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and distance traveled by the toy car.

[Choose the value of correlation coefficient from 1, 0.99, 0.5, 0.02]

Part B: What is the value of the slope of the graph of distance versus time between 10 minutes and 30 minutes, and what does the slope represent?

+1

Answers (1)

Know the Answer?

Darwin Hunt · Answer 1

A) The data form an almost linear correlation making their most likeable correlation coefficient 0.99. Thus the greater the time elapsed the greater the distance traveled, example of positive correlation. B) Value of slope for the given time interval is deltaY/deltaX = (12-4) / (30-10) = 8/20 = 0.4. The slope represents the velocity with which the toy car moves, i. e. 0.4miles/min.