Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 136 to 194 cm and weights of 37 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x = 167.72 cm, y = 81.43 kg, r = 0.339, P-value = 0.001, and ŷ - - 106+ 1.13x. Find the best predicted value of ý (weight) given an adult male who is 162 cm tall. Use a 0.01 significance level . kg. The best predicted value of y for an adult male who is 162 cm tall is (Round to two decimal places as needed.)

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

you have to stretch your thinking

step-by-step explanation:

assume that y=mx+n

you may see as , where

in we change places of numerator and denominator, then we insert an opposite sign

and substitute m=-1/3 in the equation y=mx+n

point (4,2), so we substitute x=4, y=2 to the equation and calculate

the answer is