An article in a reputable science journal presented data on the mole fraction solubility of a solute at a constant temperature. Also measured are the dispersion x₁ and dipolar and hydrogen bonding solubility parameters X2 and X3. A portion of the data is shown in the accompanying table. In the model, y is the negative logarithm of the mole fraction. Complete parts (a) through (c) below. Click the icon to view the mole fraction solubility data. (a) Fit the model y; =ẞ0 + ẞ1×1; +ẞ2×2; +ẞ3×3; + £; for i = 1, 2, ..., 20. Test Ho B₁ =ẞ₂ = ẞ3 = 0. y= -0.269 + (0.078) ×₁ + (0.025) ×2 + ( − 0.036) ×3 (Round to three decimal places as needed.) Determine the alternative hypothesis. H₁: At least one of the coefficients is not 0. Find the test statistic. f = (Round to two decimal places as needed.) Mole Fraction Solubility Data Obs. y x1 x2 X3 1 0.2220 7.3 0.0 0.0 234 2 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 4 0.4370 8.1 4.0 0.2 5 0.4280 9.0 0.5 1.0 6 0.4670 8.7 1.5 2.8 7 0.4440 9.3 2.1 1.0 8 0.3780 7.6 5.1 3.4 9 0.4940 10.0 0.0 0.3 10 0.4560 8.4 3.7 4.1 11 0.4520 9.3 3.6 2.0 12 0.1120 7.7 2.8 7.1 13 0.4320 9.8 4.2 2.0 14 0.1010 7.3 2.5 6.8 15 0.2320 8.5 2.0 6.6 16 0.3060 9.5 2.5 5.0 17 0.0923 7.4 2.8 7.8 18 0.1160 7.8 2.8 7.7 19 0.0764 7.7 3.0 8.0 20 0.4390 10.3 1.7 4.2
An article in a reputable science journal presented data on the mole fraction solubility of a solute at a constant temperature. Also measured are the dispersion x₁ and dipolar and hydrogen bonding solubility parameters X2 and X3. A portion of the data is shown in the accompanying table. In the model, y is the negative logarithm of the mole fraction. Complete parts (a) through (c) below. Click the icon to view the mole fraction solubility data. (a) Fit the model y; =ẞ0 + ẞ1×1; +ẞ2×2; +ẞ3×3; + £; for i = 1, 2, ..., 20. Test Ho B₁ =ẞ₂ = ẞ3 = 0. y= -0.269 + (0.078) ×₁ + (0.025) ×2 + ( − 0.036) ×3 (Round to three decimal places as needed.) Determine the alternative hypothesis. H₁: At least one of the coefficients is not 0. Find the test statistic. f = (Round to two decimal places as needed.) Mole Fraction Solubility Data Obs. y x1 x2 X3 1 0.2220 7.3 0.0 0.0 234 2 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 4 0.4370 8.1 4.0 0.2 5 0.4280 9.0 0.5 1.0 6 0.4670 8.7 1.5 2.8 7 0.4440 9.3 2.1 1.0 8 0.3780 7.6 5.1 3.4 9 0.4940 10.0 0.0 0.3 10 0.4560 8.4 3.7 4.1 11 0.4520 9.3 3.6 2.0 12 0.1120 7.7 2.8 7.1 13 0.4320 9.8 4.2 2.0 14 0.1010 7.3 2.5 6.8 15 0.2320 8.5 2.0 6.6 16 0.3060 9.5 2.5 5.0 17 0.0923 7.4 2.8 7.8 18 0.1160 7.8 2.8 7.7 19 0.0764 7.7 3.0 8.0 20 0.4390 10.3 1.7 4.2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
I need help to find the test statistic
Transcribed Image Text:An article in a reputable science journal presented data on the mole fraction solubility of a solute at a constant
temperature. Also measured are the dispersion x₁ and dipolar and hydrogen bonding solubility parameters X2 and
X3. A portion of the data is shown in the accompanying table. In the model, y is the negative logarithm of the mole
fraction. Complete parts (a) through (c) below.
Click the icon to view the mole fraction solubility data.
(a) Fit the model y; =ẞ0 + ẞ1×1; +ẞ2×2; +ẞ3×3; + £; for i = 1, 2, ..., 20. Test Ho B₁ =ẞ₂ = ẞ3 = 0.
y= -0.269 + (0.078) ×₁ + (0.025) ×2 + ( − 0.036) ×3
(Round to three decimal places as needed.)
Determine the alternative hypothesis.
H₁: At least one of the coefficients is not 0.
Find the test statistic.
f =
(Round to two decimal places as needed.)
Transcribed Image Text:Mole Fraction Solubility Data
Obs.
y
x1
x2
X3
1
0.2220
7.3
0.0
0.0
234
2
0.3950
8.7
0.0
0.3
0.4220
8.8
0.7
1.0
4
0.4370
8.1
4.0
0.2
5
0.4280
9.0
0.5
1.0
6
0.4670
8.7
1.5
2.8
7
0.4440
9.3
2.1
1.0
8
0.3780
7.6
5.1
3.4
9
0.4940 10.0
0.0
0.3
10
0.4560 8.4
3.7
4.1
11
0.4520
9.3
3.6
2.0
12
0.1120
7.7
2.8
7.1
13
0.4320
9.8
4.2
2.0
14
0.1010
7.3
2.5
6.8
15
0.2320
8.5
2.0
6.6
16
0.3060
9.5
2.5
5.0
17
0.0923
7.4
2.8
7.8
18
0.1160
7.8
2.8
7.7
19
0.0764
7.7
3.0
8.0
20
0.4390
10.3
1.7
4.2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman