Question

10.2.7 Heights (cm) and weights(kg)aro measured for 100randenly selected ada malesandrege hom he -of133tom㎝andmiple of 4ttossa kgtehepektr vanabí"beheh"rable?--100 pied measurements yleld x-16755 cm, y +81 46 kg,.0145 р.value 0.150, and y·102 . 1 13. Findth. best predded vah e ofy(weight) gmn ania male who h 104 o" tau-e201sīykres levd The best predicted value of y for an adult male who is 184 cm tal tg Round to two decimal places as needed )

Answer 1

Ans.

As it is given in the question that the height(cm) is the predictor variable(x) and weight(kg) is the outcome variable (y), and we have also given the regression equation $\hat{y}=-102+1.13x$ , which is used to predict the outcome variable 'y' for any given 'x', in this case we have to find the predicted value a $\hat{y}(weight)$ at $x=184$.

at x= 184 ,  

$\hat{y}=-102+1.13*184=105.92$

$\hat{y}=105.92kg$

i.e., the predicted weight of a male who is 184cm tall is $105.92kg$.

**The question image is quite blur, so i assume that the value for x is 184cm, and if its not we can find the value for any predicted value of y, by putting the value x in the equation.