A small business owner has created a linear regression model to predict the number of new customers who will visit a shop based on the number of times the owner has an advertisement played on the radio. What is the explanatory variable and what is the response variable?
A. Explanatory: number of new customers; response: number of times the advertisement is played
B. Explanatory: number of times the advertisement is played; response: number of new customers
C. Explanatory: number of times the advertisement is played; response: number of purchases made by customers
D. Explanatory: number of purchases made by customers; response: number of times the advertisement is played
E. Explanatory: number of previous customers; response: number of new customers

Respuesta :

Answer:

Option B) B. Explanatory: number of times the advertisement is played; Response: number of new customers

Step-by-step explanation:

We are given the following situation:

A small business owner has created a linear regression model to predict the number of new customers who will visit a shop based on the number of times the owner has an advertisement played on the radio.

Dependent and independent variable:

  • The dependent variable is the variable whose value changes with change in the independent variable.
  • Dependent variable are also knows as response variable.
  • Independent variable is known as explanatory variable.
  • Independent variable is the free variable.

Dependent Variable:

number of new customers

Independent variable:

number of times the owner has an advertisement played on the radio.

Option B) B. Explanatory: number of times the advertisement is played; Response: number of new customers

fichoh

The explanatory variable and response variable in the experiment are the number of times the owner has an advertisement played on radio and number of new customers.

  • The explanatory variable is also known as the independent variable, which is the variable which causes a change to the value of the output, which is the dependent or measured variable. Here, the independent variable is the number of times the owner has an advertisement played on radio.

  • The response variable also called the dependent variable, it is the variable we intend to measure or predict in an experiment. Here, it is the number of new customers who would visit a shop.

Therefore, measured and explanatory variables are the two varibales correlated in a regression model.

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