which of the following equations is the best model for a line of fit for the data?\n$hat{y}=-1.34x + 21.5$
which of the following equations is the best model for a line of fit for the data?\n$hat{y}=-1.34x + 21.5$
Answer
Explanation:
Step1: Observe the trend of data points
The data points show a negative - linear trend, meaning as the money saved (x - variable) increases, the money earned (y - variable) decreases.
Step2: Recall the slope - intercept form of a line
The equation of a line is $\hat{y}=mx + b$, where $m$ is the slope and $b$ is the y - intercept. A negative slope ($m<0$) indicates a decreasing trend.
Step3: Analyze the given equation
The equation $\hat{y}=-1.34x + 21.5$ has a negative slope ($m=-1.34$) which is consistent with the negative trend of the data points.
Answer:
$\hat{y}=-1.34x + 21.5$