i. construct a 95% confidence interval for the mean thickness of oxidation when temperature is 2 units. ii. constrtuct a 95% prediction interval for the thickness of oxidation when temperature is 2 units.
i. construct a 95% confidence interval for the mean thickness of oxidation when temperature is 2 units. ii. constrtuct a 95% prediction interval for the thickness of oxidation when temperature is 2 units.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 56E
Related questions
Question
| x (temperature) | y (oxidation) |
| -2 | 4 |
| -1 | 2 |
| 0 | 2 |
| 1 | 1 |
| 2 | 1 |
i. construct a 95% confidence interval for the mean thickness of oxidation when temperature is 2 units.
ii. constrtuct a 95% prediction interval for the thickness of oxidation when temperature is 2 units.
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Yi
Xi
Yi - y
x₁ - x
(yi - y)²
-2
2
-2
4
-1
a
4
2
2
1
y = 2
-1
Q
1
2
x = O
O
21
O
I
2
ol
OO
Q
1
SINT
Syy = 6
Pre
-
(x₁ - x)² (Xi – x)(Vi - 5)
SyunGup
if
-4
J
VOGNETE
1
2 49
(0
Sxx
=
Sxy=
-1
- 2
-7
Expert Solution
Step 1: Given Information
Given data is:
| x (temperature) | y (oxidation) |
| -2 | 4 |
| -1 | 2 |
| 0 | 2 |
| 1 | 1 |
| 2 | 1 |
The objective is to construct a 95% confidence interval for the mean thickness of oxidation when temperature is 2 units and also construct a 95% prediction interval for the thickness of oxidation when temperature is 2 units.
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