The data set for the average height of men at a ballgame compared to their shoe size is represented by the table. Table with two columns titled men's shoe size (U. S.) and height (inches). Data values 7 and 64, 10 and 69, 12 and 72, 8 and 67, 9.5 and 69, 10 and 70, 11.5 and 75, 12.5 and 73, 13.5 and 71, 10 and 68. Part A: What is the equation of the least-squares regression line? (3 points) Part B: Carlos wears a size 9 and is 71 inches tall. What is the residual for Carlos's data? Show your work. (4 points) Part C: Interpret the meaning of the residual from part B. (3 points)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation: