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marishachu [46]
3 years ago
5

An efficiency consultant determines that on the assembly line at Stihl Inc., there is a strong, negative, linear relationship be

tween 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
Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

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.

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Answer:

The growth rate he needs to achieve his goal is approximatelly 19.8%

Step-by-step explanation:

Since the sum will be compounded continuously we have to use the appropriate formula given below:

M = C*e^(r*t)

Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:

16000 = 4000*e^(r*7)

4000*e^(7*r) = 16000

e^(7*r) = 16000/4000 = 4

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7*r = ln(4)

r = ln(4)/7 = 0.198

The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.

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