Rolf makes a scatterplot and draws a line with a negative slope to create the line of best fit. Which could be the two quantitative variables he used?(1 point)
Responses
A the number of miles a family drives on a trip to a nearby city and the distance in miles the family still needs to drive
B the size of a cat and the number of its paws
C the age of an adult and the number of times that adult has voted in an election
D the outdoor temperature in degrees Fahrenheit on a given day and the number of people in the world
A the number of miles a family drives on a trip to a nearby city and the distance in miles the family still needs to drive
The two quantitative variables that Rolf could have used to create the scatterplot and line of best fit with a negative slope are:
A) the number of miles a family drives on a trip to a nearby city and the distance in miles the family still needs to drive.
To determine which of the options could be the two quantitative variables used to create a scatterplot with a negative slope for the line of best fit, we need to identify the variables that can be measured quantitatively and are likely to have a negative correlation.
A. The number of miles a family drives on a trip to a nearby city and the distance in miles the family still needs to drive: This option makes sense because as the number of miles driven increases, the distance still needed to drive would likely decrease, resulting in a negative slope.
B. The size of a cat and the number of its paws: This option does not make sense because there is no inherent relationship between the size of a cat and the number of its paws. The variables are unrelated.
C. The age of an adult and the number of times that adult has voted in an election: This option also does not make sense because there is no direct relationship between the age of an adult and the number of times they have voted. The variables are unrelated.
D. The outdoor temperature in degrees Fahrenheit on a given day and the number of people in the world: This option does not make sense because there is no logical relationship between the outdoor temperature and the number of people in the world. The variables are unrelated.
Therefore, the correct answer is A. The number of miles a family drives on a trip to a nearby city and the distance in miles the family still needs to drive.