A research center is interested in investigating about height and age of children who are between 5 to 9 years old.
In order to do this, a sample of 15 children is selected and the data is given below. $$\begin{array} { | c | c | }
\hline \text { Age (in years) } & \text { Height (inches) } \
\hline 7 & 47.3 \
\hline 8 & 48.8 \
\hline 5 & 41.3 \
\hline 8 & 50.4 \
\hline 8 & 51 \
\hline 7 & 47.1 \
\hline 7 & 46.9 \
\hline 7 & 48 \
\hline 9 & 51.2 \
\hline 8 & 51.2 \
\hline 5 & 40.3 \
\hline 8 & 48.9 \
\hline 6 & 45.2 \
\hline 5 & 41.9 \
\hline 8 & 49.6 \
\hline
\end{array}$$
a. Develop a scatter chart with age as the independent variable. What does the scatter chart indicate about the relationship between the height and age of children?
b. Use the data to develop an estimated regression equation that could be used to estimate the height based on the age. What is the estimated regression model?
c. How much of the variation in the sample values of height does the model estimated in part (b) explain?

Question

A research center is interested in investigating about height and age of children who are between 5 to 9 years old.
In order to do this, a sample of 15 children is selected and the data is given below. $$\begin{array} { | c | c | } 
\hline \text { Age (in years) } & \text { Height (inches) } \
\hline 7 & 47.3 \
\hline 8 & 48.8 \
\hline 5 & 41.3 \
\hline 8 & 50.4 \
\hline 8 & 51 \
\hline 7 & 47.1 \
\hline 7 & 46.9 \
\hline 7 & 48 \
\hline 9 & 51.2 \
\hline 8 & 51.2 \
\hline 5 & 40.3 \
\hline 8 & 48.9 \
\hline 6 & 45.2 \
\hline 5 & 41.9 \
\hline 8 & 49.6 \
\hline
\end{array}$$ 
a. Develop a scatter chart with age as the independent variable. What does the scatter chart indicate about the relationship between the height and age of children?
b. Use the data to develop an estimated regression equation that could be used to estimate the height based on the age. What is the estimated regression model?
c. How much of the variation in the sample values of height does the model estimated in part (b) explain?

Quizplus · Accepted Answer

The Answer of A research center is interested in investigating about height and age of children who are between 5 to 9 years old.
In order to do this, a sample of 15 children is selected and the data is given below. $$\begin{array} { | c | c | } 
\hline \text { Age (in years) } & \text { Height (inches) } \
\hline 7 & 47.3 \
\hline 8 & 48.8 \
\hline 5 & 41.3 \
\hline 8 & 50.4 \
\hline 8 & 51 \
\hline 7 & 47.1 \
\hline 7 & 46.9 \
\hline 7 & 48 \
\hline 9 & 51.2 \
\hline 8 & 51.2 \
\hline 5 & 40.3 \
\hline 8 & 48.9 \
\hline 6 & 45.2 \
\hline 5 & 41.9 \
\hline 8 & 49.6 \
\hline
\end{array}$$ 
a. Develop a scatter chart with age as the independent variable. What does the scatter chart indicate about the relationship between the height and age of children?
b. Use the data to develop an estimated regression equation that could be used to estimate the height based on the age. What is the estimated regression model?
c. How much of the variation in the sample values of height does the model estimated in part (b) explain?

A Research Center Is Interested in Investigating About Height and Age