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University students were asked if they agreed that their education was worth the cost. One variable in the table is a ranking of the university. The other variable in the table is the percentage of students at the university who responded "strongly agree." 28 29 30 37 45 47 52 54 52 54 57 60 65 66 72 75 66 72 75 82 88 98 ŷ= University Ranking Percentage of Alumni Who Strongly Agree 52 58 61 54 53 61 54 (a) Fit a linear regression model to predict the percentage of alumni who strongly agree that their education was worth the cost. (Let x be the university ranking. Round your numerical values to four decimal places.) 64 62 69 58 65 55 57 66 59 74 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking? Test the appropriate hypotheses using a = 0.05. State the null and alternative hypotheses. ⒸHO: B = 0 versus H: ß > 0 OHO: B 0 versus H: B = 0 Ho: B = 0 versus H: < 0 Ho: B≤ 0 versus H: ß> 0 Ho: B = 0 versus H: B = 0 P-value= Calculate the test statistic and its P-value for whether there is a useful linear relationship between the two sets of data. (Round your test statistic to two decimal places and your P-value to four decimal places.) Use the P-value to evaluate the statistical significance of the results at the 5% level. O Ho is rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking.

University students were asked if they agreed that their education was worth the cost. One variable in the table is a ranking of the university. The other variable in the table is the percentage of students at the university who responded "strongly agree." 28 29 30 37 45 47 52 54 52 54 57 60 65 66 72 75 66 72 75 82 88 98 ŷ= University Ranking Percentage of Alumni Who Strongly Agree 52 58 61 54 53 61 54 (a) Fit a linear regression model to predict the percentage of alumni who strongly agree that their education was worth the cost. (Let x be the university ranking. Round your numerical values to four decimal places.) 64 62 69 58 65 55 57 66 59 74 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking? Test the appropriate hypotheses using a = 0.05. State the null and alternative hypotheses. ⒸHO: B = 0 versus H: ß > 0 OHO: B 0 versus H: B = 0 Ho: B = 0 versus H: < 0 Ho: B≤ 0 versus H: ß> 0 Ho: B = 0 versus H: B = 0 P-value= Calculate the test statistic and its P-value for whether there is a useful linear relationship between the two sets of data. (Round your test statistic to two decimal places and your P-value to four decimal places.) Use the P-value to evaluate the statistical significance of the results at the 5% level. O Ho is rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking.

MATLAB: An Introduction with Applications
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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University students were asked if they agreed that their education was worth the cost. One variable in the table is a ranking of the university. The other variable in the table is the percentage of students at the university who responded "strongly agree." ŷ = University Ranking Percentage of Alumni 52 58 Who Strongly Agree 28 29 State the null and alternative hypotheses. O Ho: B = 0 versus H.: ß > 0 Ho: B = 0 versus H₂: B = 0 O Ho: B = 0 versus H₂: ß < 0 OHO: B ≤ 0 versus H₂: ß > 0 a O Ho: B = 0 versus H₂: B = 0 30 37 45 t = P-value = 61 54 47 52 54 57 60 65 53 61 54 (a) Fit a linear regression model to predict the percentage of alumni who strongly agree that their education was worth the cost. (Let x be the university ranking. Round your numerical values to four decimal places.) 62 69 58 65 66 72 75 82 88 98 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking? Test the appropriate hypotheses using a = 0.05. 55 64 57 66 59 74 Calculate the test statistic and its P-value for whether there is a useful linear relationship between the two sets of data. (Round your test statistic to two decimal places and your P-value to four decimal places.) Use the P-value to evaluate the statistical significance of the results at the 5% level. O Ho is rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking.
Transcribed Image Text:University students were asked if they agreed that their education was worth the cost. One variable in the table is a ranking of the university. The other variable in the table is the percentage of students at the university who responded "strongly agree." ŷ = University Ranking Percentage of Alumni 52 58 Who Strongly Agree 28 29 State the null and alternative hypotheses. O Ho: B = 0 versus H.: ß > 0 Ho: B = 0 versus H₂: B = 0 O Ho: B = 0 versus H₂: ß < 0 OHO: B ≤ 0 versus H₂: ß > 0 a O Ho: B = 0 versus H₂: B = 0 30 37 45 t = P-value = 61 54 47 52 54 57 60 65 53 61 54 (a) Fit a linear regression model to predict the percentage of alumni who strongly agree that their education was worth the cost. (Let x be the university ranking. Round your numerical values to four decimal places.) 62 69 58 65 66 72 75 82 88 98 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking? Test the appropriate hypotheses using a = 0.05. 55 64 57 66 59 74 Calculate the test statistic and its P-value for whether there is a useful linear relationship between the two sets of data. (Round your test statistic to two decimal places and your P-value to four decimal places.) Use the P-value to evaluate the statistical significance of the results at the 5% level. O Ho is rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is not rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking. O Ho is rejected. There is not sufficient evidence of a useful linear relationship between the percentage of alumni who strongly agree that their education was worth the cost and the university ranking.
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