Suppose an ecologist collects data on the weights and basal trunk diameters of a randomly selected sample of felled trees. the ecologist fits a simple linear regression model, predicting tree weight from the trunk's cross-sectional area. after ensuring that all assumptions of the linear model are met, the ecologist computes a 95% confidence interval for the predicted mean weight of trees with a trunk cross-sectional area of 452 in? .
select the correct interpretation of this confidence interval.

a. the weight of another tree with a trunk cross-sectional area of 452 in- sampled at random from the same population will fall in the ecologist's interval with 95% probability.
b. the true mean weight for trees in the population with a trunk cross-sectional area of 452 in- will fall within the ecologist's interval with 95% probability.
c. the weight of 95% of trees in the population with a trunk cross-sectional area of 452 inwill fall within the ecologist's interval.
d. the ecologist's interval has a 95% chance of containing the true sample mean weight of trees with a trunk cross- sectional area of 452 in².
e. there is a 95% chance that the ecologist's interval contains the true mean weight of trees in the population with a trunk cross-sectional area of 452 in? .

e)  There is a 95% chance that the ecologist's interval contains the true mean weight of trees in the population with a trunk cross-sectional area of 452 in

Step-by-step explanation:

Given that an ecologist collects data on the weights and basal trunk diameters of a randomly selected sample of felled trees. The ecologist fits a simple linear regression model, predicting tree weight from the trunk's cross-sectional area. After ensuring that all assumptions of the linear model are met, the ecologist computes a 95% confidence interval for the predicted mean weight of trees with a trunk cross-sectional area of 452 inches

We can interpret the confidence interval as

we are 95% confident that for samples of trees largely drawn with 452 inches the mean of these trees would fall within this interval.

e)  There is a 95% chance that the ecologist's interval contains the true mean weight of trees in the population with a trunk cross-sectional area of 452 in

take the top number and divide it by a the bottom number

step-by-step explanation:

1/2 1 divied by 2 = .5

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq