Total points in a board game based on the average number of hours played is predicted using the least-square regression line, ŷ = 280.3 + 85.7x, where ŷ represents the total points scored and x represents the average number of hours spent playing the game. a player plays the game for an average of 3 hours and has a point total of 550. what is the residual for the player?

12.6 is the residual for the player

Step-by-step explanation:

Residual is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ)

Residual = Observed value - Predicted value

e = y - ŷ

Here y = 550 and ŷ  can be calculated using x = 3 hours in the equation ŷ = 280.3 + 85.7x

Thus,  ŷ  = 280.3 + 85.7 x 3

ŷ  = 537.4

Thus e = y - ŷ

= 550 -537.4

= 12.6

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

it would rotate about 180 degrees.