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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 y₁ = Bo+B1×1i+B2×2; +ẞ3×3; + &; for i = 1, 2, ..., 20. Test Ho: B₁ = B₂ = B3 = 0. -0.269 + (0.078)x+(0.025)x+(-0.036)x3 (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= 35.28 (Round to two decimal places as needed.) Find the P-value. P-value = 0.000 (Round to three decimal places as needed.) Determine the proper conclusion. Ho. There is evidence to conclude that at least one of the coefficients is zero. at least one of the coefficients is not zero. all of the coefficients are zero. none of the coefficients are zero. Mole Fraction Solubility Data Obs. y X1 x2 X3 12345 0.2220 7.3 0.0 0.0 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 0.4370 8.1 4.0 0.2 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 20 2225 0.0764 7.7 3.0 8.0 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 y₁ = Bo+B1×1i+B2×2; +ẞ3×3; + &; for i = 1, 2, ..., 20. Test Ho: B₁ = B₂ = B3 = 0. -0.269 + (0.078)x+(0.025)x+(-0.036)x3 (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= 35.28 (Round to two decimal places as needed.) Find the P-value. P-value = 0.000 (Round to three decimal places as needed.) Determine the proper conclusion. Ho. There is evidence to conclude that at least one of the coefficients is zero. at least one of the coefficients is not zero. all of the coefficients are zero. none of the coefficients are zero. Mole Fraction Solubility Data Obs. y X1 x2 X3 12345 0.2220 7.3 0.0 0.0 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 0.4370 8.1 4.0 0.2 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 20 2225 0.0764 7.7 3.0 8.0 0.4390 10.3 1.7 4.2 ✗

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with determining the proper conclusion please. First blank is (Reject or Do not reject Ho) and 2nd blank is There is (sufficient or insufficient) evidence to conclude that _________. Third blank is provided in attachments

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 y₁ = Bo+B1×1i+B2×2; +ẞ3×3; + &; for i = 1, 2, ..., 20. Test Ho: B₁ = B₂ = B3 = 0. -0.269 + (0.078)x+(0.025)x+(-0.036)x3 (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= 35.28 (Round to two decimal places as needed.) Find the P-value. P-value = 0.000 (Round to three decimal places as needed.) Determine the proper conclusion. Ho. There is evidence to conclude that at least one of the coefficients is zero. at least one of the coefficients is not zero. all of the coefficients are zero. none of the coefficients are zero.
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 y₁ = Bo+B1×1i+B2×2; +ẞ3×3; + &; for i = 1, 2, ..., 20. Test Ho: B₁ = B₂ = B3 = 0. -0.269 + (0.078)x+(0.025)x+(-0.036)x3 (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= 35.28 (Round to two decimal places as needed.) Find the P-value. P-value = 0.000 (Round to three decimal places as needed.) Determine the proper conclusion. Ho. There is evidence to conclude that at least one of the coefficients is zero. at least one of the coefficients is not zero. all of the coefficients are zero. none of the coefficients are zero.
Mole Fraction Solubility Data Obs. y X1 x2 X3 12345 0.2220 7.3 0.0 0.0 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 0.4370 8.1 4.0 0.2 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 20 2225 0.0764 7.7 3.0 8.0 0.4390 10.3 1.7 4.2 ✗
Transcribed Image Text:Mole Fraction Solubility Data Obs. y X1 x2 X3 12345 0.2220 7.3 0.0 0.0 0.3950 8.7 0.0 0.3 0.4220 8.8 0.7 1.0 0.4370 8.1 4.0 0.2 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 20 2225 0.0764 7.7 3.0 8.0 0.4390 10.3 1.7 4.2 ✗
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