Question

An efficiency consultant determines that on the assembly line at Stihl Inc., there is a strong, negative, linear relationship between x=the number of consecutive hours a worker has been assembling chainsaws and y=the number of chainsaws he can produce in an hour. He finds that 70%of the variation in chainsaws produced per hour can be explained by the regression of y on x. Which of the following is the best approximation of the correlation of x and y? A)-0.84, B) -0.7, C) -0.49, D) 0.49, E) 0.84

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

It is given that there is a strong, negative, linear relationship between x and y. where, x is the number of consecutive hours a worker has been assembling chainsaws and y is the number of chainsaws he can produce in an hour.

He finds that 70%of the variation in chainsaws produced per hour can be explained by the regression of y on x.

$y=-\frac{70}{100}x$

$y=-0.7x$

The slope is -0.7, therefore option B is correct.