A regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat in the cereal gave the following results: Calories = 97.1053 + 9.6525*(grams of fat). Which of the following is FALSE: It is estimated that for every additional gram of fat in the cereal, the number of calories increases by about 9. It is estimated that in cereals with no fat, the total amount of calories is about 97. If a cereal has 2 g of fat, then it is estimated that the total number of calories is about 113. If a cereal has about 145 calories, then this equation indicates that it has about 5 grams of fat. One cereal has 140 calories and 5 g of fat. Its residual is about 5 cal.
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 regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat in the cereal gave the following results: Calories = 97.1053 + 9.6525*(grams of fat). Which of the following is FALSE:
It is estimated that for every additional gram of fat in the cereal, the number of calories increases by about 9.
It is estimated that in cereals with no fat, the total amount of calories is about 97.
If a cereal has 2 g of fat, then it is estimated that the total number of calories is about 113.
If a cereal has about 145 calories, then this equation indicates that it has about 5 grams of fat.
One cereal has 140 calories and 5 g of fat. Its residual is about 5 cal.
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