Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where X is the age of the crab in months and ˆ Y is the predicted value of Y , the size of the male crab in cm. ˆ Y = 9.1367 + 0.4817 X What is the value of ˆ Y when a male crab is 22.1725 months old? Provide your answer with precision to two decimal places. ˆ Y = Interpret the value of ˆ Y . The value of ˆ Y is the predicted size of a crab when it is 22.1725 months old. the probability that a crab will be 22.1725 months old. the predicted incremental increase in size for every increase in age by 22.1725 months. the predicted number of crabs out of the 1,000 crabs collected that will be 22.1725 months old.

19.82 months

Step-by-step explanation:

Usually in regression analysis candidates are provided with data and they are asked to determine the equation of the line of regression. This is not the case here. The question is pretty much straight forward.

Provided the line equation:-

This shows the that the predicted size of the male crab will be 19.82 cm when the crab is 22.1725 months old.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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