11. Decide whether the following variables are positively correlated, negatively correlated, or uncorrelated. a. Your grades and the number of hours per week you study b. Your grades and the number of hours per week you party c. Your grades and the number of cookies per week you eat d. The daily average temperature and sales of cell phones e. The daily average temperature and sales of overcoats f. The daily average temperature and sales of shorts

11. Decide whether the following variables are positively correlated, negatively correlated, or uncorrelated. a. Your grades and the number of hours per week you study b. Your grades and the number of hours per week you party c. Your grades and the number of cookies per week you eat d. The daily average temperature and sales of cell phones e. The daily average temperature and sales of overcoats f. The daily average temperature and sales of shorts

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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

11. Decide whether the following variables are positively correlated, negatively correlated,
or uncorrelated.
a. Your grades and the number of hours per week you study
b. Your grades and the number of hours per week you party
c. Your grades and the number of cookies per week you eat
d. The daily average temperature and sales of cell phones
e. The daily average temperature and sales of overcoats
f. The daily average temperature and sales of shorts

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refer to the following: For countries listed in the Human Development Report, the correlation between the percent of people using the Internet and per capita gross domestic product (GDP) is 0.888. The correlation (r) between the percent of people using the Internet and the percent using cell phones is 0.818. The correlation between the percent of people using the Internet and the literacy rate is 0.669. The correlation between the percent of people using the Internet and the fertility rate is -0.551. 10) Which variable (GDP, percent using cell phones, literacy rate, or fertility rate) has the strongest linear association with Internet use? Which variable has the weakest linear association with Internet use? Strongest: Weakest: