Question

The following scatter diagram shows two sets of data that show high positive correlation:
Use extrapolation to predict the value of $y$ when $x=11$

• A. $24.5$
• B. $23.5$
• C. $25$
• D. None of these

Answer 1

The correct option is B $23.5$

To predict $y$ value at $x=11$ consider end point of given data $(\because$ Extra polation $)$

At $x=1y=2.5$

$x=10y=21$

$(y-21)=\frac{(21-2.5)}{(10-1)}(1-10)$

$y=\frac{18.5}{9}+21$

$y=2.05+21$

$y\approx 23.5$