Plotting the data set:
1.Plotting the x-axis as the arm span because this is the independent variable, and the height as y-axis because it's dependent variable.
2. Equation of a line is represented by:
[tex]\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]
Line that best fits the data set is:
[tex]y=x+1[/tex]
3. The slope represents the constant rate of change between two variables, so that means for 1 inch of arm span, the height increase 1 too.
4. Residual is the difference between the measured value and the predicted value of a regression model. To find the residual you must take the predicted value and subtract it from the measured value:
Measured value: 50
Predicted value: 47
Residual:
[tex]50-47=3[/tex]
5. The variables are linearly related since they change together at a constant rate.
6. To calculate how tall is a person whose arm span is 66, substitute x=66
[tex]\begin{gathered} y=66+1 \\ y=67\text{ inches} \end{gathered}[/tex]
A person whose arm span is 66 inches would be 67 inches tall.
7. To calculate what is the arm span of 74-inch tall person, we must substitute y=74 and solve for x:
[tex]\begin{gathered} 74=x+1 \\ x=74-1 \\ x=73 \end{gathered}[/tex]
The arm span for a 74-inch tall person, would be 73 inches.
