In order for a prediction interval for y or a confidence interval for Hyjx to be valid, which of the following must hold? a. The true relationship between the predictor variable x and the response variable y must be close to linear. b. The variability of the x-values must be about the same at each fixed y value. c. The variability of the y-values must be about the same at each fixed x value. d. The variability of the x-values and the y-values must be about the same. Select one answer A (c) and (d) must hold B (a) and (b) must hold (b) and (d) must hold D (a) and (c) must hold

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 7E
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In order for a prediction interval for y or a confidence interval for Hyx to be valid, which of the
following must hold?
a. The true relationship between the predictor variable x and the response variable y must be close to
linear.
b. The variability of the x-values must be about the same at each fixed y value.
c. The variability of the y-values must be about the same at each fixed x value.
d. The variability of the x-values and the y-values must be about the same.
Select one answer
A (c) and (d) must hold
B (a) and (b) must hold
(b) and (d) must hold
D) (a) and (c) must hold
Transcribed Image Text:In order for a prediction interval for y or a confidence interval for Hyx to be valid, which of the following must hold? a. The true relationship between the predictor variable x and the response variable y must be close to linear. b. The variability of the x-values must be about the same at each fixed y value. c. The variability of the y-values must be about the same at each fixed x value. d. The variability of the x-values and the y-values must be about the same. Select one answer A (c) and (d) must hold B (a) and (b) must hold (b) and (d) must hold D) (a) and (c) must hold
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