Question

1. the scatter plot of a plants height over time curves upward more steeply as time increases. which regression model would best describe this pattern?

Explanation:

Step1: Analyze regression models

Linear regression: \(y = ax + b\), has constant slope.
Exponential regression: \(y = ab^{x}\), slope increases as \(x\) increases.
Quadratic regression: \(y = ax^{2}+bx + c\), symmetric parabola.

Step2: Match with the pattern

The scatter - plot curves upward more steeply (slope increasing) as time (\(x\)) increases.
Exponential function \(y = ab^{x}\) (\(b>1\)) has \(y\) - values that grow at an increasing rate.

Answer:

Exponential regression model.