The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) xequals=150 cal (b) xequals=90 cal (c) xequals=175 cal (d) xequals=208 cal Click the icon to view the table of caloric and sugar contents. The equation of the regression line is ModifyingAbove y with caret equals=nothingxplus+nothing. (Round to two decimal places as needed.) (a) Predict the sugar content for 150 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretyequals=nothing g (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because xequals=150 is inside the range of the original data. C. It is not meaningful to predict this value of y because xequals=150 is not an x-value in the original data. (c) Predict the sugar content for 175 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretyequals=nothing g (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because xequals=175 is inside the range of the original data. C. It is not meaningful to predict this value of y because xequals=175 is not an x-value in the original data. (d) Predict the sugar content for 208 calories, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ModifyingAbove y with caretyequals=nothing g (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because xequals=208 is not an x-value in the original data. C. It is not meaningful to predict this value of y because xequals=208 is inside the range of the original data. Calories, x Sugar, y 140 6 200 9 170 6 160 9 170 10 180 16 190 14 210 18 190 19 160 10 160 11
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)
xequals=150
cal |
(b)
xequals=90
cal |
(c)
xequals=175
cal |
(d)
xequals=208
cal |
|
Calories, x
|
Sugar, y
|
|
|
---|---|---|---|
|
140
|
6
|
|
|
200
|
9
|
|
|
170
|
6
|
|
|
160
|
9
|
|
|
170
|
10
|
|
|
180
|
16
|
|
|
190
|
14
|
|
|
210
|
18
|
|
|
190
|
19
|
|
|
160
|
10
|
|
|
160
|
11
|
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