A researcher gathered data on 13 college-aged males chugging a 12-ounce can of a certain beverage. The researcher recorded the weight (Weight), in pounds, and the chugtime (ChugTime), in seconds, of each subject. The regression analysis, along with a plot, is shown below.
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.
Regression Analysis Matching
A researcher gathered data on 13 college-aged males chugging a 12-ounce can of a certain beverage. The researcher recorded the weight (Weight), in pounds, and the chugtime (ChugTime), in seconds, of each subject.
The regression analysis, along with a plot, is shown below.
##
## Simple
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## Correlation
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## Equation of Regression Line:
##
## ChugTime = 13.3 + -0.0458 * Weight
##
## Residual Standard Error: s = 1.123
## R^2 (unadjusted): R^2 = 0.6208
Match each of the following numbers with their correct description, listed in the attached picture.
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A measurement of the variation in the data from the regression line that is affected by a change in scale of the response variable.
The proportion of variation in the chug times that is explained by the weights of the college males.
A college-aged male weighing 0 pounds is predicted to take 13.2975 seconds to chug a 12 ounce beverage.
The numerical description of the strong negative relationship between a college male's weight and the amount of time it takes for him to
For every one pound increase in the weight of a college male, the predicted chug time of a 12 ounce beverage decreases by 0.0458](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c3c025b-6e66-4e06-aac3-a54d0f923845%2F440f69f2-6bb8-49a3-87d5-bfea3ee02b0c%2Fgbm7x0a_processed.png&w=3840&q=75)
Correlation coefficient r = -0.7879
Equation of Regression Line:
ChugTime = 13.3 + -0.0458 * Weight
Residual Standard Error: s = 1.123
R^2 = 0.6208
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