Question

a. x = -2 b. y = -2 c. x = -1.5 d. y = -1.5

1. from the following boxplot, the value of the first quartile is and the value of the third quartile is. the range of the data is

33.

time (hours)	distance (miles)
5	825
11	375
19	150

a. there is a positive correlation between time and distance
b. there is a negative correlation between time and distance.
c. there is no correlation between time and distance.
d. there is not enough information to determine if a correlation between time and distance

Explanation:

Step1: Analyze the relationship

As time (in hours) increases from 2 to 5 to 11 to 19, the distance (in miles) decreases from 1425 to 825 to 375 to 150.

Step2: Determine correlation type

A negative correlation exists when one variable increases while the other decreases. Here, time increases and distance decreases, so there's a negative correlation.

Answer:

B. There is a negative correlation between time and distance.