The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 different cereals. TI-83>84 Plus calculator results are shown below. Is there sufficient evidence to support the claim that there is a linear correlation between sugar and calories in a gram of cereal? Explain. LinRegTTest y=a+bx ß≠0 or ρ≠0 ↑df=14 a= -188.3423729 b=5.789830508 s=11.17312583 r2=.5858430396 r=.7654038409
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.
The amounts of sugar (grams of sugar per gram of cereal) and calories (per gram of cereal) were recorded for a sample of 16 different cereals. TI-83>84 Plus calculator results are shown below. Is there sufficient evidence to support the claim that there is a
LinRegTTest
y=a+bx
ß≠0 or ρ≠0
↑df=14
a= -188.3423729
b=5.789830508
s=11.17312583
r2=.5858430396
r=.7654038409
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