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For this problem, we are trying to determine whether a variable is the independent or the dependent variable.
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For our first example, we are studying the number of fatalities versus a person's, the driver's age.
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Now, an independent variable is what we can control.
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It is what causes the dependent variable.
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The dependent variable is what we must measure.
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Since the age of a person causes the number of fatalities, and we can control the age of the person we study, but we cannot control the number of fatalities they get into.
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We know that the age of a person is the independent variable.
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And the number of fatalities is the deepened.
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Variable.
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In our second example, we compare the number of family members versus the size of their grocery bill.
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Now we can control the size of the family that we study, since we can choose which family we study, but we cannot control the size of their grocery bill.
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The grocery bill is well, what we must observe and measure, and the size of the family is what affects the size of the bill.
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Therefore, the size of the family must be the independent variable.
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The size of the bill must be the dependent variable.
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A life insurance company decides the premiums given to an applicant based on the applicant's age.
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So we're trying to determine whether the size of the premium or the applicant's age is the independent or the dependent variable.
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Now the premium is caused or determined by the applicant's age...