Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 160 180 130 130 90 190 (a) x=150 calories (b) x=100 calories Sodium, y 430 480 320 360 270 530 (c) x=120 calories (d) x=60 calories
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.
|
Calories, x
|
160
|
180
|
130
|
130
|
90
|
190
|
|
(a)
x=150
calories |
(b)
x=100
calories |
|---|---|---|---|---|---|---|---|---|---|
|
Sodium, y
|
430
|
480
|
320
|
360
|
270
|
530
|
|
(c)
x=120
calories |
(d)
x=60
calories |
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