a) Find the 95% prediction interval for the slope. Threshold value: tcrit Variance of the response: Sy = Standard deviation of the slope: so = Slope confidence interval is from up to (Round answers to 3 decimal place as needed)
a) Find the 95% prediction interval for the slope. Threshold value: tcrit Variance of the response: Sy = Standard deviation of the slope: so = Slope confidence interval is from up to (Round answers to 3 decimal place as needed)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Please explain step by step

Transcribed Image Text:The scatter plot and table below show 8 data points that were collected to compare battery life to the
temperature of the battery's environment.
60
y
82
58
55
87
57
82
55
55
55
58
56
54
55
50
51
54
53
53
50 55
60 65 70 75 80 85 90
Тетрerature (F)
The sums of x , y , x , y“ , and xy are shown below:
.2
xy
522
443
35732
24549
29031
The estimates for the slope and intercept of the regression line are
0.075 hours per degree
a
50.481 hours
Battery Lifetime (Hrs)

Transcribed Image Text:a) Find the 95% prediction interval for the slope.
Threshold value: tcrit
Variance of the response: Sy
Standard deviation of the slope: St
Slope confidence interval is from
up to
(Round answers to 3 decimal place as needed)
Expert Solution

Step 1
The regression equation is given by :
The formula for the confidence interval for slope coefficient is given by :
X | Y | |||
82 | 58 | 56.636 | 1.860 | |
87 | 57 | 57.011 | 0.000 | |
82 | 55 | 56.636 | 2.676 | |
55 | 55 | 54.611 | 0.151 | |
58 | 56 | 54.836 | 1.355 | |
54 | 55 | 54.536 | 0.215 | |
51 | 54 | 54.311 | 0.097 | |
53 | 53 | 54.461 | 2.135 | |
Sum | 522 | 443 | 8.49 |
Step by step
Solved in 2 steps with 1 images
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