Variable Label N X y Mean Std Dev Minimum Maximum 'speed' 19 39.7368421 15.7650884 15.0000000 65.0000000 'distance' 19 124.1526316 101.2716225 13.5000000 337.6000000 X ¹17, 0.995 Root MSE Parameter Variable Label DF Estimate 117, 0.95 Parameter Estimates Intercept Intercept 1 -119.25282 'speed' 1 6.12544 = 2.898 31.38943 R-Square 0.9093 = 1.740 O Do not reject H ¹17, 0.99 = 2.567 17, 0.975 = 2.110 c) Test whether the slope differs from 0 using a = 0.01 18, 0.995 18, 0.95 = 2.861 = 1.734 18, 0.99 = 2.539 ¹18, 0.975 = 2.101

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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Variable Label N
X
y
Std Dev Minimum Maximum
'speed' 19 39.7368421
15.7650884 15.0000000 65.0000000
'distance' 19 124.1526316 101.2716225 13.5000000 337.6000000
X
¹17, 0.995
Root MSE
¹17, 0.95
Parameter Estimates
Parameter
Variable Label DF Estimate
Intercept Intercept 1 -119.25282
'speed' 1 6.12544
= 2.898
Mean
= 1.740
31.38943 R-Square 0.9093
O Do not reject H
t
17, 0.99
17, 0.975
= 2.567
= 2.110
c) Test whether the slope differs from 0 using a = 0.01
t
18, 0.995
= 2.861
18, 0.95 = 1.734
¹18, 0.99
= 2.539
¹18, 0.975
= 2.101
Transcribed Image Text:Variable Label N X y Std Dev Minimum Maximum 'speed' 19 39.7368421 15.7650884 15.0000000 65.0000000 'distance' 19 124.1526316 101.2716225 13.5000000 337.6000000 X ¹17, 0.995 Root MSE ¹17, 0.95 Parameter Estimates Parameter Variable Label DF Estimate Intercept Intercept 1 -119.25282 'speed' 1 6.12544 = 2.898 Mean = 1.740 31.38943 R-Square 0.9093 O Do not reject H t 17, 0.99 17, 0.975 = 2.567 = 2.110 c) Test whether the slope differs from 0 using a = 0.01 t 18, 0.995 = 2.861 18, 0.95 = 1.734 ¹18, 0.99 = 2.539 ¹18, 0.975 = 2.101
Expert Solution
Step 1

Given information:

Summary statistics of the data are given.

Sample size (N)=19ß1=6.12544σx=15.7650884Level of significance (α)=0.01Root MSE =i=1N(yi-y^i)2N=31.98943

Find:

Test the significance of ß1.

 

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