Problem 2. The following data is looking at how long it takes to get to work. Let x = commuting distance (miles) and y = commuting time (minutes) x 5 10 15 20 25 50 y 16 32 44 45 63 115 a) Give a scatterplot of this data and comment on the direction, form and strength of this relationship. b) Determine the least-squares estimate equation for this data set. c) Give the coefficient of determination, R2 , comment on what that means. d) Give the residual plot based on the least-squares estimate equation. e) Test if this least-squares estimate equation specify a useful relationship between commuting distance and commuting time. 1 f) Compare this least-square estimate equation to the previous least-squares estimate equation in problem 1. In which situation would the least-squares equation be least effective? Justify your answer

there is no question content here, but you for the free points! : d

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

the answer is y = 11.54

hope this : )

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240