Question

The following scatter diagram shows two sets of data that show high negative correlation:
Use interpolation to predict the value of $y$ when $x=7$

• A. $2.8$
• B. $3$
• C. $3.2$
• D. None of these

Answer 1

The correct option is C $3.2$

To predict $y$ value at $x=7$ consider $y$ values at $x=6$ and $x=8$ $(\because$ Interpolar $)$

At $x=6y=3.65$

$x=8y=3$

$(y-3)=\frac{(3-3.65)}{(8-6)}(7-8)$

$y-3=\frac{0.65}{2}$

$\therefore y=3.325=3.3\approx 3.2$ (Nearest Possible option)