Explanation Given: The numerical summaries are provided as; x ¯ = 5 , 955 , 551 y ¯ = 302 , 136 s x = 6 , 620 , 733 s y = 358 , 460 The correlation between the number of undergraduate college students and the population is provided as r = 0.98367 . Calculation: Define population as variable x and number of undergraduate college students as variable y . The equation of least-squares regression line of y on x is; y ^ = b 0 + b 1 x Here, b 0 is the intercept and b 1 is the slope. The slope b 1 can be calculated as: b 1 = r × s y s x = 0

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card

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ISBN: 9781464158933

Author: David S. Moore, George P. McCabe, Bruce A. Craig

Publisher: W. H. Freeman

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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 p…

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Chapter 2.4, Problem 73E

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To find: The least-squares regression line for the relationship between the number of undergraduate college students and the populations for the 50 states.

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Chapter 2 Solutions

Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card

Ch. 2.1 - Prob. 1UYK Ch. 2.1 - Prob. 2UYK Ch. 2.1 - Prob. 3UYK Ch. 2.1 - Prob. 4UYK Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.2 - Prob. 10UYK

Ch. 2.2 - Prob. 11UYK Ch. 2.2 - Prob. 12UYK Ch. 2.2 - Prob. 13UYK Ch. 2.2 - Prob. 14UYK Ch. 2.2 - Prob. 15UYK Ch. 2.2 - Prob. 16UYK Ch. 2.2 - Prob. 17UYK Ch. 2.2 - Prob. 18E Ch. 2.2 - Prob. 19E Ch. 2.2 - Prob. 20E Ch. 2.2 - Prob. 21E Ch. 2.2 - Prob. 22E Ch. 2.2 - Prob. 23E Ch. 2.2 - Prob. 24E Ch. 2.2 - Prob. 25E Ch. 2.2 - Prob. 26E Ch. 2.2 - Prob. 27E Ch. 2.2 - Prob. 28E Ch. 2.2 - Prob. 29E Ch. 2.2 - Prob. 30E Ch. 2.2 - Prob. 31E Ch. 2.2 - Prob. 32E Ch. 2.2 - Prob. 33E Ch. 2.2 - Prob. 34E Ch. 2.2 - Prob. 35E Ch. 2.2 - Prob. 36E Ch. 2.2 - Prob. 37E Ch. 2.3 - Prob. 38UYK Ch. 2.3 - Prob. 39UYK Ch. 2.3 - Prob. 40E Ch. 2.3 - Prob. 41E Ch. 2.3 - Prob. 42E Ch. 2.3 - Prob. 43E Ch. 2.3 - Prob. 44E Ch. 2.3 - Prob. 45E Ch. 2.3 - Prob. 46E Ch. 2.3 - Prob. 47E Ch. 2.3 - Prob. 48E Ch. 2.3 - Prob. 49E Ch. 2.3 - Prob. 50E Ch. 2.3 - Prob. 51E Ch. 2.3 - Prob. 52E Ch. 2.3 - Prob. 53E Ch. 2.3 - Prob. 54E Ch. 2.3 - Prob. 55E Ch. 2.3 - Prob. 56E Ch. 2.3 - Prob. 57E Ch. 2.3 - Prob. 58E Ch. 2.3 - Prob. 59E Ch. 2.3 - Prob. 60E Ch. 2.3 - Prob. 61E Ch. 2.4 - Prob. 62UYK Ch. 2.4 - Prob. 63UYK Ch. 2.4 - Prob. 64UYK Ch. 2.4 - Prob. 65UYK Ch. 2.4 - Prob. 66E Ch. 2.4 - Prob. 67E Ch. 2.4 - Prob. 68E Ch. 2.4 - Prob. 69E Ch. 2.4 - Prob. 70E Ch. 2.4 - Prob. 71E Ch. 2.4 - Prob. 72E Ch. 2.4 - Prob. 73E Ch. 2.4 - Prob. 74E Ch. 2.4 - Prob. 75E Ch. 2.4 - Prob. 76E Ch. 2.4 - Prob. 77E Ch. 2.4 - Prob. 78E Ch. 2.4 - Prob. 79E Ch. 2.4 - Prob. 80E Ch. 2.4 - Prob. 81E Ch. 2.4 - Prob. 82E Ch. 2.4 - Prob. 83E Ch. 2.4 - Prob. 84E Ch. 2.4 - Prob. 85E Ch. 2.4 - Prob. 86E Ch. 2.4 - Prob. 87E Ch. 2.4 - Prob. 88E Ch. 2.4 - Prob. 89E Ch. 2.4 - Prob. 90E Ch. 2.4 - Prob. 91E Ch. 2.5 - Prob. 92UYK Ch. 2.5 - Prob. 93UYK Ch. 2.5 - Prob. 94E Ch. 2.5 - Prob. 95E Ch. 2.5 - Prob. 96E Ch. 2.5 - Prob. 97E Ch. 2.5 - Prob. 98E Ch. 2.5 - Prob. 99E Ch. 2.5 - Prob. 100E Ch. 2.5 - Prob. 101E Ch. 2.5 - Prob. 102E Ch. 2.5 - Prob. 103E Ch. 2.5 - Prob. 104E Ch. 2.5 - Prob. 105E Ch. 2.5 - Prob. 106E Ch. 2.5 - Prob. 107E Ch. 2.5 - Prob. 108E Ch. 2.5 - Prob. 109E Ch. 2.5 - Prob. 110E Ch. 2.5 - Prob. 112E Ch. 2.5 - Prob. 113E Ch. 2.5 - Prob. 114E Ch. 2.6 - Prob. 115UYK Ch. 2.6 - Prob. 116UYK Ch. 2.6 - Prob. 117UYK Ch. 2.6 - Prob. 118UYK Ch. 2.6 - Prob. 119UYK Ch. 2.6 - Prob. 120UYK Ch. 2.6 - Prob. 121E Ch. 2.6 - Prob. 122E Ch. 2.6 - Prob. 123E Ch. 2.6 - Prob. 124E Ch. 2.6 - Prob. 125E Ch. 2.6 - Prob. 126E Ch. 2.6 - Prob. 127E Ch. 2.6 - Prob. 128E Ch. 2.6 - Prob. 129E Ch. 2.6 - Prob. 130E Ch. 2.6 - Prob. 131E Ch. 2.6 - Prob. 132E Ch. 2.7 - Prob. 133E Ch. 2.7 - Prob. 134E Ch. 2.7 - Prob. 135E Ch. 2.7 - Prob. 136E Ch. 2.7 - Prob. 137E Ch. 2.7 - Prob. 138E Ch. 2.7 - Prob. 139E Ch. 2.7 - Prob. 140E Ch. 2.7 - Prob. 141E Ch. 2.7 - Prob. 142E Ch. 2.7 - Prob. 143E Ch. 2.7 - Prob. 144E Ch. 2.7 - Prob. 145E Ch. 2 - Prob. 146E Ch. 2 - Prob. 147E Ch. 2 - Prob. 148E Ch. 2 - Prob. 149E Ch. 2 - Prob. 150E Ch. 2 - Prob. 151E Ch. 2 - Prob. 152E Ch. 2 - Prob. 153E Ch. 2 - Prob. 154E Ch. 2 - Prob. 155E Ch. 2 - Prob. 156E Ch. 2 - Prob. 157E Ch. 2 - Prob. 158E Ch. 2 - Prob. 159E Ch. 2 - Prob. 160E Ch. 2 - Prob. 161E Ch. 2 - Prob. 162E Ch. 2 - Prob. 163E Ch. 2 - Prob. 164E Ch. 2 - Prob. 165E Ch. 2 - Prob. 166E Ch. 2 - Prob. 167E Ch. 2 - Prob. 168E Ch. 2 - Prob. 169E Ch. 2 - Prob. 170E Ch. 2 - Prob. 171E Ch. 2 - Prob. 172E Ch. 2 - Prob. 173E Ch. 2 - Prob. 174E Ch. 2 - Prob. 175E Ch. 2 - Prob. 176E Ch. 2 - Prob. 177E Ch. 2 - Prob. 178E

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The least-squares regression line for the relationship between the number of undergraduate college students and the populations for the 50 states.

Solution Summary: The author explains the least-squares regression line for the relationship between the number of undergraduate college students and the populations of the 50 states.

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To find: The least-squares regression line for the relationship between the number of undergraduate college students and the populations for the 50 states.

Chapter 2 Solutions