The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 48.267x+ 18,014.33. Complete parts a and b. 418 Issues, x Proceeds, 17,893 28,011 43,462 31,984 66,102 65,336 21,841 10,111 30,790 27,563 y 452 687 485 498 396 52 55 183 150 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in proceeds that is inexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in issues. The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the d ond ic due to other factors or to sampling error.

The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 48.267x+ 18,014.33. Complete parts a and b. 418 Issues, x Proceeds, 17,893 28,011 43,462 31,984 66,102 65,336 21,841 10,111 30,790 27,563 y 452 687 485 498 396 52 55 183 150 (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in proceeds that is inexplained and is due to other factors or sampling error. The remaining fraction of the variation is explained by the variation in issues. The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the d ond ic due to other factors or to sampling error.

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

The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of
the regression line is y = 48.267x+ 18,014.33. Complete parts a and b.
%3D
Issues, x
418
452
687
485
498
396
52
55
183
150
Proceeds, 17,893 28,011 43,462 31,984 66,102 65,336 21,841 10,111 30,790 27,563
y
(a) Find the coefficient of determination and interpret the result.
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
The coefficient of determination is the fraction of the variation in proceeds that is inexplained and is due to other factors or sampling error. The remaining
fraction of the variation is explained by the variation in issues.
The coefficient of determination is the fraction of the variation in proceeds that can be explained by the variation in issues. The remaining fraction of the
variation is unexplained and is due to other factors or to sampling error.

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