Answer:
10.5 mg/ml
Explanation:
To know the expected level of LDL, we need to find the equation of the least-squares line. So using two points on the line like (0,16) and (4, 14), we can calculate the equation of the line as:
[tex]y=\frac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1[/tex]
Where (x1, y1) and (x2, y2) are 2 points in the graph. So, replacing (x1, y1) by (0,16) and (x2, y2) by (4, 14), we get:
[tex]\begin{gathered} y=\frac{14-16}{4-0}(x-0)+16 \\ y=\frac{-2}{4}x+16 \\ y=-\frac{1}{2}x+16 \end{gathered}[/tex]
Now, the expected level of LDL can be calculated if we replace x by 11 hours/week, so:
[tex]\begin{gathered} y=-\frac{1}{2}(11)+16 \\ y=-5.5+16 \\ y=10.5 \end{gathered}[/tex]
Therefore, the expected level of LDL is 10.5 mg/ml
