Question

PLS HELP IN HURRY

*** Which statement best describes the explanatory and response variables in the regression model?
O In the quadratic regression model, the explanatory variable is time and the response variable is the height.
O In the quadratic regression model, the explanatory variable is the height and the response variable is time.
O In the trigonometric regression model, the explanatory variable is time and the response variable is the height.
O in the trigonometric regression model, the explanatory variable is the height and the response variable is time.​

Answer 1

C: In the trigonometric regression model, the explanatory variable is time and the response variable is the height.

Explanation:

A quadratic regression model is a parabola. If time is x and height is y, it doesn't make sense if the height is 3,600 feet after a minute. (Not to scale) A trigonometric regression model is a sine wave like a sound wave. This makes sense because the Ferris wheel can only go so high. So after a minute, the height might be 8 feet. (Not to scale)

An explanatory variable is what what you manipulate or observe changes in.

A response variable is what changes with the explanatory variable.

For example, age would be an explanatory variable while height would be the response variable. Or, a caffeine dose would be explanatory, while say reaction time would be the response.

Answer 2

• A. In the quadratic regression model, the explanatory variable is time and the response variable is the height.

Explanation:

The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).

The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).

According to the explanation above the correct choice is A