A regression equation yˆ = 577 − 3.01x for the relationship between y = the maximum distance at which a driver can read a highway sign and x = driver age. (a) What is the predicted value of the maximum sign reading distance for a driver who is 21 years old? (b) Compute the residual for a 21-year old drier who can read the sign at a maximum distance of 525 feet. (c) The standard deviation from the regression line in this example is approximately s = 50 feet.
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 regression equation yˆ = 577 − 3.01x for the relationship between y = the maximum distance at
which a driver can read a highway sign and x = driver age.
(a) What is the predicted value of the maximum sign reading distance for a driver who is 21 years
old?
(b) Compute the residual for a 21-year old drier who can read the sign at a maximum distance of
525 feet.
(c) The standard deviation from the regression line in this example is approximately s = 50 feet.
Use the
for about 95% of all drivers who are 21 years old.
(d) Would it be unusual for a 21-year old driver to be able to read the sign from 650 feet? Justify
your answer.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
