Write the best-fit linear model for the data.
-A pediatric speech therapist started her own practice in 2000. The table below shows the number of children she treated each year from 2004 to 2012. Align the data to the number of years past 2004 and fit a linear model
To the data. $\begin{array}{r|ccccccccc}
\text { Year } & 2004 & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 & 2011 & 2012 \
\hline \text { Number of Patients } & 11 & 15 & 16 & 20 & 23 & 25 & 29 & 34 & 37
\end{array}$

A) $y = 10.53 x + 3.2$
B) $y = 2 x + 11$
C) $y = 3.2 x + 10.53$
D) $y = 11 x + 2$

Question

Write the best-fit linear model for the data.
-A pediatric speech therapist started her own practice in 2000. The table below shows the number of children she treated each year from 2004 to 2012. Align the data to the number of years past 2004 and fit a linear model
To the data. $\begin{array}{r|ccccccccc}
\text { Year } & 2004 & 2005 & 2006 & 2007 & 2008 & 2009 & 2010 & 2011 & 2012 \
\hline \text { Number of Patients } & 11 & 15 & 16 & 20 & 23 & 25 & 29 & 34 & 37
\end{array}$

A) $y = 10.53 x + 3.2$
B) $y = 2 x + 11$
C) $y = 3.2 x + 10.53$
D) $y = 11 x + 2$

Quizplus · Accepted Answer

The best-fit linear model is calculated using the least squares method. The slope (m) and y-intercept (b) are determined to fit the data points, resulting in the equation $y = 3.2x + 10.53$.

Write the Best-Fit Linear Model for the Data A) y=10.53x+3.2y = 10.53 x + 3.2y=10.53x+3.2

Write the Best-Fit Linear Model for the Data A) $y = 10.53 x + 3.2$