Based on a sample of n = 28, the least-squares method was used to develop the prediction line ₁ = 8 + 3X₁. In addition, Syx = 2.3, X = 7, and Σ (x₁ - x)² = 28. Complete parts (a) through (c) below. i=1 a. Construct a 90% confidence interval estimate of the population mean response for X= 5. SHY|X=5³ (Round to two decimal places as needed.) b. Construct a 90% prediction interval of an individual response for X = 5. ≤YX=5³ (Round to two decimal places as needed.) c. Compare the results of (a) and (b) with those for X= 7, which are 28.26 ≤ Hy|x=7 ≤29.74 and 25.01 ≤Yx=732.99. Which intervals are wider? Why? the mean X. The intervals for X= ▼are wider because X = 7 is

Based on a sample of n = 28, the least-squares method was used to develop the prediction line ₁ = 8 + 3X₁. In addition, Syx = 2.3, X = 7, and Σ (x₁ - x)² = 28. Complete parts (a) through (c) below. i=1 a. Construct a 90% confidence interval estimate of the population mean response for X= 5. SHY|X=5³ (Round to two decimal places as needed.) b. Construct a 90% prediction interval of an individual response for X = 5. ≤YX=5³ (Round to two decimal places as needed.) c. Compare the results of (a) and (b) with those for X= 7, which are 28.26 ≤ Hy|x=7 ≤29.74 and 25.01 ≤Yx=732.99. Which intervals are wider? Why? the mean X. The intervals for X= ▼are wider because X = 7 is

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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