Risky Drivers Both inexperienced young drivers andvery old drivers are involved in far more accidents than other age groups. The quartic functionthat models the police-reported crashes for differentage groups is y = 0.00001828x4 - 0.003925x3 +0.3031x2 - 9.907x + 118.2, where x is the age ofthe driver and y equals the number of crashes per million miles traveled.a. Graph the function for the ages 15 to 86.b. What does the model estimate the number ofcrashes per million miles to be for 22-year-olddrivers?c. At what age among older drivers does the modelpredict the number of crashes will reach 8 per million miles?d. At what age among younger drivers does themodel predict the number of crashes will be theminimum number?
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.
Risky Drivers Both inexperienced young drivers and
very old drivers are involved in far more accidents than other age groups. The quartic function
that models the police-reported crashes for different
age groups is y = 0.00001828x4 - 0.003925x3 +0.3031x2 - 9.907x + 118.2, where x is the age of
the driver and y equals the number of crashes per million miles traveled.
a. Graph the function for the ages 15 to 86.
b. What does the model estimate the number of
crashes per million miles to be for 22-year-old
drivers?
c. At what age among older drivers does the model
predict the number of crashes will reach 8 per million miles?
d. At what age among younger drivers does the
model predict the number of crashes will be the
minimum number?
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