Question

The table shows the relationship “Construction workers make 13 dollars per hour.” A 2-column table with 5 rows. Column 2 is labeled Hours with entries 1, 2, 3, 4, 5. Column 2 is labeled Dollars with entries 13, 26, 39, 52, 65. Which statements are correct? Select all that apply. The amount of dollars earned causes a change in the number of hours worked. The number of hours worked causes a change in the amount of dollars earned. d is the independent variable. d is the dependent variable. h is the independent variable. h is the dependent variable.

Answer 1

Answer:

Correct statement are:

• The number of hours worked causes a change in the amount of dollars earned.
• d is the dependent variable.
• h is the independent variable.

Step-by-step explanation:

In simple linear regression analysis, the relationship between an independent and dependent variable are explained.

The independent variable are the variables that can be controlled by the experimenter. Whereas the dependent variable is the variables that is being observed for any changes when the independent variable is changed.

The general form of a simple linear regression equation is:

$y=\alpha +\beta x$

Now, here the data provided represents the relationship:

“Construction workers make 13 dollars per hour.”

Let, d = dollars earned and h = hours worked.

The data for the number of hours worked and the amount paid is provided.

From the statement itself it can be concluded that the amount paid to the workers are based on the number of hours they work.

So, the dependent variable is the amount paid and the independent variable is the number of hours.

Thus, the correct statement are:

• The number of hours worked causes a change in the amount of dollars earned.
• d is the dependent variable.
• h is the independent variable.