You have been asked to find if there is a correlation between the amount of calories per serving in a bowl of cereal versus the amount of sugar (in grams) in the cereal. The following data has been given for examination. Sugar Calories 18 200 23 210 12 170 12 190 37 220 19 175 23 201 22 210 32 210 11 190 11 197 29 205 a. Create a scatterplot of the given data. Be sure you explain your decision on which variable is the predictor and which variable is the response. b. Using computer software, calculate the correlation coefficient and interpret what this value implies in relation to the data set. c. Create a regression equation that models the data and describe the values of the slope and y-intercept with the data set. d. Predict if a box of cereal has 25 grams of sugar per serving how many calories it will contain. e. Predict if a box of cereal has 230 calories per serving how much sugar (in grams) it will contain. f. Discuss any lurking variables could be relevant to analysis of this data set.
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.
You have been asked to find if there is a
|
Sugar |
Calories |
|
18 |
200 |
|
23 |
210 |
|
12 |
170 |
|
12 |
190 |
|
37 |
220 |
|
19 |
175 |
|
23 |
201 |
|
22 |
210 |
|
32 |
210 |
|
11 |
190 |
|
11 |
197 |
|
29 |
205 |
a. Create a scatterplot of the given data. Be sure you explain your decision on which variable is the predictor and which variable is the response.
b. Using computer software, calculate the
c. Create a regression equation that models the data and describe the values of the slope and y-intercept with the data set.
d. Predict if a box of cereal has 25 grams of sugar per serving how many calories it will contain.
e. Predict if a box of cereal has 230 calories per serving how much sugar (in grams) it will contain.
f. Discuss any lurking variables could be relevant to analysis of this data set.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
