A veterinarian believes that larger dogs sleep for fewer hours than smaller dogs and wants to test this hypothesis. She collects data on the amount of sleep that dogs get per day (in minutes) and each dog's weight (in pounds). She found a strong relationship between the two variables, which can be modeled by the equation below: predicted minutes of sleep = 648.73 +2.89(weight in pounds) Which of the following is the best interpretation of the slope of this relationship? a For each increase of 2.89 pounds in dog's weight, the dog is expected to sleep for 1 more minutes per day. b For each increase of 1 pound in dog's weight, the dog is expected to sleep for 648.73 more minutes per day. c For each increase of 2.89 pounds in dog's weight, the dog is expected to sleep for 648.73 more minutes per day. d For each increase of 648.73 pounds in dog's weight, the dog is expected to sleep for 2.89 more minutes per day. e For each increase of 1 pound in dog's weight, the dog is expected to sleep for 2.89 more minutes per day.
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.
A veterinarian believes that larger dogs sleep for fewer hours than smaller dogs and wants to test this hypothesis. She collects data on the amount of sleep that dogs get per day (in minutes) and each dog's weight (in pounds). She found a strong relationship between the two variables, which can be modeled by the equation below:
predicted minutes of sleep = 648.73 +2.89(weight in pounds)
Which of the following is the best interpretation of the slope of this relationship?
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a
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For each increase of 2.89 pounds in dog's weight, the dog is expected to sleep for 1 more minutes per day.
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b
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For each increase of 1 pound in dog's weight, the dog is expected to sleep for 648.73 more minutes per day.
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c
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For each increase of 2.89 pounds in dog's weight, the dog is expected to sleep for 648.73 more minutes per day.
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d
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For each increase of 648.73 pounds in dog's weight, the dog is expected to sleep for 2.89 more minutes per day.
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e
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For each increase of 1 pound in dog's weight, the dog is expected to sleep for 2.89 more minutes per day.
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