Suppose that a random sample of 208 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height yields Weight = (- 103.3864) + 4.0976 × Height, R² = 0.842, SER = 10.6080 (2.2360) (0.3224) 구 where Weight is measured in pounds and Height is measured in inches. A man has a late growth spurt and grows 1.5600 inches over the course of a year. Construct a confidence interval of 95% for the person's weight gain. The 95% confidence interval for the person's weight gain is ( ☐) (in pounds). (Round your responses to two decimal places.) You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the respective state real GDP (gy). The results are as follows: Aur = 2.81 -0.23×gy, R² = 0.36, SER = 0.78 (0.12) (0.04) Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval: OA. [-0.31, −0.15]. B. [2.57, 3.05]. C. [-0.33, 0.13]. OD. [-0.31, 0.15].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that a random sample of 208 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height yields
Weight = (- 103.3864) + 4.0976 × Height, R² = 0.842, SER = 10.6080
(2.2360) (0.3224)
구
where Weight is measured in pounds and Height is measured in inches.
A man has a late growth spurt and grows 1.5600 inches over the course of a year. Construct a confidence interval of 95% for the person's weight gain.
The 95% confidence interval for the person's weight gain is ( ☐) (in pounds). (Round your responses to two decimal places.)
Transcribed Image Text:Suppose that a random sample of 208 twenty-year-old men is selected from a population and that their heights and weights are recorded. A regression of weight on height yields Weight = (- 103.3864) + 4.0976 × Height, R² = 0.842, SER = 10.6080 (2.2360) (0.3224) 구 where Weight is measured in pounds and Height is measured in inches. A man has a late growth spurt and grows 1.5600 inches over the course of a year. Construct a confidence interval of 95% for the person's weight gain. The 95% confidence interval for the person's weight gain is ( ☐) (in pounds). (Round your responses to two decimal places.)
You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the
respective state real GDP (gy). The results are as follows:
Aur = 2.81 -0.23×gy, R² = 0.36, SER = 0.78
(0.12) (0.04)
Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval:
OA. [-0.31, −0.15].
B. [2.57, 3.05].
C. [-0.33, 0.13].
OD. [-0.31, 0.15].
Transcribed Image Text:You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the respective state real GDP (gy). The results are as follows: Aur = 2.81 -0.23×gy, R² = 0.36, SER = 0.78 (0.12) (0.04) Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval: OA. [-0.31, −0.15]. B. [2.57, 3.05]. C. [-0.33, 0.13]. OD. [-0.31, 0.15].
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