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For each of the following situations, state the independent variable and the dependent variable.

a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per100,000 driver is compared to the age of drivers.

b. A study is done to determine if the weekly grocery bill changes based on the number of family members.

c. Insurance companies base life insurance premiums partially on the age of the applicant.

d. Utility bills vary according to power consumption.

e. A study is done to determine if a higher education reduces the crime rate in a population.

Short Answer

Expert verified

(a) Independent Variable: Age

Dependent Variable: Fatalities.

(b) Independent Variable: No of family members

Dependent Variable: Grocery bill

(c) Independent Variable: Age

Dependent Variable: Fatalities

(d) Independent Variable: Power consumption

Dependent Variable: Utility bills

(e) Independent Variable: Higher education

Dependent Variable: Crime rates

Step by step solution

01

Part (a) Step 1: Concept introduction

In arithmetic, a variable is a character that denotes something which needs to be reviewed or determined. Discuss the concept of parameters, as well as how and when to leverage them, as well as genuine applications.

02

Part (a) Step 2: Explanation

Age is an independent variable in the present circumstance, however Fatalities is a dependent variable since age does not depend on anything and increases by itself, implying that no other thing may raise or reduce age, whereas Fatalities is dependent on age because fatalities rise with age.

03

Part (b) Step 1: Concept introduction

In arithmetic, a variable is a character that denotes something which needs to be reviewed or determined. Discuss the concept of parameters, as well as how and when to leverage them, as well as genuine applications.

04

Part (b) Step 2: Explanation

According to the given situation, the number of family members is an independent variable and the grocery bill is a dependent variable because the number of family members is unaffected by anything, whereas the grocery bill is affected by the number of family members; the higher the number of family members, the higher the grocery bill.

05

Part (c) Step 1: Concept introduction

In arithmetic, a variable is a character that denotes something which needs to be reviewed or determined. Discuss the concept of parameters, as well as how and when to leverage them, as well as genuine applications.

06

Part (c) Step 2: Explanation

Age is an independent variable in the given situation, whereas Insurance Premium is a dependent variable because age does not depend on anything and increases on its own, implying that no other factor can increase or decrease the age, whereas Insurance Premium is dependent on age because it increases as the age increases.

07

Part (d) Step 1: Concept introduction

In arithmetic, a variable is a character that denotes something which needs to be reviewed or determined. Discuss the concept of parameters, as well as how and when to leverage them, as well as genuine applications.

08

Part (d) Step 2: Explanation

Utility bills are a dependent variable in the given situation, whereas power consumption is an independent variable, because utility bills are dependent on how much power you consumed, whereas power consumption is independent of anything; the more you need, the more you consume, and as your consumption increases, so does your utility bill.

09

Part (e) Step 1: Concept introduction

In arithmetic, a variable is a character that denotes something which needs to be reviewed or determined. Discuss the concept of parameters, as well as how and when to leverage them, as well as genuine applications.

10

Part (e) Step 2: Explanation

In the given situation, crime rates are a dependent variable, while higher education is an independent variable, because crime rates are dependent on one's level of education, whereas higher education is independent of everything; the more educated you are, the less likely you are to commit a crime, which means higher education lowers crime rates.

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