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

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.

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

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,