Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 37% of all fatal accidents of 17-year-olds are due to.speeding. 17 27 37 47 57 67 77 37 23 23 12 10 7 Complete parts (a) through (e), given Ex = 329, Ey = 117, Ex² = 18,263, Ey2 = 2745, Exy = 4089, and r -0.948. (a) Draw a scatter diagram displaying the data.
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 final question in the examples is
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
|
r2 = |
|
|
explained |
% |
|
unexplained |
% |
(f) Predict the percentage of all fatal accidents due to speeding for 25-year-olds. (Round your answer to two decimal places.)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 6 images
