Students at a number of universities were asked if they agreed that their education was worth the cost. One variable in the table is the percentage of students at the university who responded strongly agree. The other variable in the table is the ranking of the university reported by a national publication. Ranking Percentageof Alumni WhoStrongly Agree 28 53 29 57 30 62 37 56 45 54 47 61 52 55 54 63 57 70 60 59 65 66 66 56 72 65 75 56 82 67 88 58 98 75 (a) Find the equation of the least squares line would allow you to predict the percentage of alumni who would strongly agree that their education was worth the cost, using ranking as the independent variable. (Round your answers to three decimal places.) ŷ = (b) Predict the percentage of alumni who would strongly agree that their education was worth the cost for a university with a ranking of 50. (Round your answer to three decimal places.) % (c) Explain why it would not be a good idea to use the least squares line to predict the percentage of alumni who would strongly agree that their education was worth the cost for a university that had a ranking of 10. This answer has not been graded yet.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Students at a number of universities were asked if they agreed that their education was worth the cost. One variable in the table is the percentage of students at the university who responded strongly agree. The other variable in the table is the ranking of the university reported by a national publication.
Ranking
Percentage
of Alumni Who
Strongly Agree
28
53
29
57
30
62
37
56
45
54
47
61
52
55
54
63
57
70
60
59
65
66
66
56
72
65
75
56
82
67
88
58
98
75
(a)
Find the equation of the least squares line would allow you to predict the percentage of alumni who would strongly agree that their education was worth the cost, using ranking as the independent variable. (Round your answers to three decimal places.)
ŷ =
(b)
Predict the percentage of alumni who would strongly agree that their education was worth the cost for a university with a ranking of 50. (Round your answer to three decimal places.)
%
(c)
Explain why it would not be a good idea to use the least squares line to predict the percentage of alumni who would strongly agree that their education was worth the cost for a university that had a ranking of 10.
This answer has not been graded yet.
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