Question

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 velocity of the toy car.

Answer 1

Part A: The correlation coefficient is 1. It means that the values of both x and y has a strong relationship giving them a avalue of 1.

Part B: The value of the slope of the graph is 0.5. the slope of the line represents how steep is the line of your graph

Part C: The data presented is correlation.

Answer 2

A. There is no linear relationship between time and velocity.

B. The slope of the graph is 0.06 miles/s^2

C. The points in the data occur in a sequential manner.

A. If you plot the points in a graph, it would look like that shown in the picture attached. If we use linear regression, the correlation is very poor. The coefficient of correlation (r2) is only 0.0017. There is no linear relationship between time and velocity.

B. The slope of the graph is equal to y2-y1/x2-x1, In this case, it would specifically be v2-v1/t2-t1

Slope = 0.8-0.2/20-10 = 0.06 miles/s^2

The slope represents the acceleration at time 10 to 20 minutes.

C. The table in the graph shows causation rather than correlation. The points in the data occur in a sequential manner.