Consider the accompanying data on and (%) at failure of the cheese. [Note: The researchers were Italian and used real mozzarella cheese, not the poor cousin widely available in the United States.] a. Construct a scat
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.
1.Consider the accompanying data on and (%) at failure of the cheese. [Note: The
researchers were Italian and used real mozzarella cheese, not the poor cousin widely
available in the United States.]
a. Construct a scatter plot.
b. What does the plot suggest about the nature of the relationship between the two
variables?
c. Calculate coefficient of
2.Scraps of iron were selected on the basis of their densities, x, and their iron contents, y,
were measured. The results were as follows:
x 2.8 2.9 3.0 3.1 3.2 3.2 3.2 3.3 3.4
y 27 23 30 28 30 32 34 33 30
(i) Plot the data(
9 | P a g e
(ii) Find the regression equation of y on x by the method of least squares
(iii) Comment on Goodness of fit of the fitted line
(iv) Predict y for given x=3.5
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images
