The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.
Predictor
Constant
Coef SE Coef
-7.611 2.567
0.186 0.035
t-ratio
2.965
5.377
р
0.046
0.000
Arm span
S = 1.61
R-sa 63.0%
R-S (Adj) = 64.9%
Which of the following is the best interpretation of the standard deviation of the residuals?
The typical arm span is 161 centimeters.
The typical foot length is 16.1 centimeters.
The typical distance between the observed and predicted arm spans is 1.61 centimeters.
The typical distance between the observed and predicted foot lengths is 1.61 centimeters.

the correct answer is the second option

agree

step-by-step explanation:

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.