A punter for a football team is trying to determine the optimal angle for striking the football off his foot—this is called the launch angle. Using video, his coach records a number of punts kicked using different launch angles and the height in feet for each punt. A regression equation for this relationship is Height hat = 2.31 (angle) minus 39.389. A graph titled Residuals versus Launch angle has launch angle (Degrees) on the x-axis, and residual on the y-axis. Points decrease, and then curve up.

Based on the residual plot shown, is a linear model appropriate for using launch angle to predict height?

A linear model is appropriate because the residual plot is curved.
A linear model is appropriate because many of the residuals are close to zero.
A linear model is not appropriate because the residual plot shows a clear pattern.
A linear model is not appropriate because the y-intercept of the regression equation is negative.

is should be y = 5x

step-by-step explanation:

correct me if im wrong

the answer is 62.8 cubic units

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.