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1. It has been determined that there is a strong linear relationship between the

ID: 3227394 • Letter: 1

Question

1. It has been determined that there is a strong linear relationship between the weight of a certain breed of monkey and its height. From a random sample of monkeys, a least squares regression line was computed, relating the monkey's weight, y, in pounds, with its height, x, in inches. The regression line was:

Weight = -16.88 + 2.13 Height

          20 < Height < 45

What would be the height of a monkey whose weight was predicted to be 70 pounds?

options:

24.9 inches

32.9 inches

40.8 inches

53.1 inches

132.2 inches

2. Which of the following statements is INCORRECT about the sampling distribution of the sample mean:

options:

The standard error of the sample mean will decrease as the sample size increases.

The standard error of the sample mean is a measure of the variability of the sample mean among repeated samples.

The sample mean is unbiased for the true (unknown) population mean.

The sampling distribution shows how the sample mean will vary among repeated samples.

The sampling distribution shows how the sample was distributed around the sample mean.

24.9 inches

32.9 inches

40.8 inches

53.1 inches

132.2 inches

Explanation / Answer

1. Substitution of weight in the equation yields the height as answer. Therefore 70+16.88=2.13*height
Also 86.88/2.13=40.8 answer C