(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 four decimal places.) ý - 51.3 + 0.1633x (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.) 59.357 X % (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. The prediction is reliable for within the range of the independent variable since it is very uncertain if the model is followed outside the range or not. Since, 10 is outside the range of x', the prediction might not be very reliable meaning it is not a good idea.

(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 four decimal places.) ý - 51.3 + 0.1633x (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.) 59.357 X % (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. The prediction is reliable for within the range of the independent variable since it is very uncertain if the model is followed outside the range or not. Since, 10 is outside the range of x', the prediction might not be very reliable meaning it is not a good idea.

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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Concept explainers

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.

Question

100%

(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 four decimal places.)
ŷ = 51.3 + 0.1633x
(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.)
59.357
X %
(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.
The prediction is reliable for within the range of the independent
variable since it is very uncertain if the model is followed outside the
range or not. Since, 10 is outside the range of 'x', the prediction might
not be very reliable meaning it is not a good idea.

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.
Percentage
of Alumni Who
Ranking
Strongly Agree
28
53
29
57
30
62
37
54
45
54
47
61
52
55
54
61
57
70
60
57
65
66
66
54
72
65
75
58
82
67
88
58
98
75

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