Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been the independent variable. He has hypothesized that time can never be a dependent variable. Does the scatterplot below confirm or invalidate Willis’s hypothesis?
A graph titled Distance Traveled versus Time has Distance Traveled (miles) on the x-axis and Time (hours) on the y-axis. Plots pointed are (50, 1.2), (95, 2.3), (150, 2.6), (185, 3.8), (248, 4.4).
It confirms his hypothesis because the scatterplot must have been created incorrectly.
It confirms his hypothesis because time is the independent variable and distance traveled is the dependent variable.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
It invalidates his hypothesis because it is possible for the distance that is traveled during a trip to depend on the time that is spent traveling.

Question

12-06-2022
Mathematics

contestada

Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been the independent variable. He has hypothesized that time can never be a dependent variable. Does the scatterplot below confirm or invalidate Willis’s hypothesis?
A graph titled Distance Traveled versus Time has Distance Traveled (miles) on the x-axis and Time (hours) on the y-axis. Plots pointed are (50, 1.2), (95, 2.3), (150, 2.6), (185, 3.8), (248, 4.4).
It confirms his hypothesis because the scatterplot must have been created incorrectly.
It confirms his hypothesis because time is the independent variable and distance traveled is the dependent variable.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
It invalidates his hypothesis because it is possible for the distance that is traveled during a trip to depend on the time that is spent traveling.

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ayoushivt ayoushivt · Answer 1 · 2022-06-21T13:28:48+02:00

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

The missing graph has been attached with the answer.

What is a Scatter Plot ?

These are Cartesian Points and it represents relationship between two variables.

It is given that

Will's Hypothesis is time can never be a dependent variable.

Although from the graph plotted it can be seen that the time is dependent on distance travelled and

the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,

therefore the scatter plot invalidate Willis’s hypothesis.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

To know more about Scatter Plot

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