# Regression Analysis on Speed of Vehicle

Not what you're looking for?

The State Department of Transportation has conducted a study of 100 randomly selected vehicles in which the speed of the vehicle and age of the driver were measured. The Data were collected from a stretch of highway that produces an unusually high accident rate. A regression model was developed, with vehicle speed being predicted using age as the independent variable. The results obtained were:

ŷ = 56.78 + 0.124x

s

b = 2.88

1

a) Develop a 95% interval estimate for the true regression slope and interpret.

b) Based on your response to part a, can you conclude that age and speed are linearly related? Explain your answer.

c) Construct a 98% interval estimate for the difference in speed that drivers travel whose ages are 20 years apart. (Hint: Consider carefully the parameter that would measure this difference).

##### Purchase this Solution

##### Solution Summary

The State Department of Transportation has conducted a study of 100 randomly selected vehicles in which the speed of the vehicle and age of the driver were measured. The Data were collected from a stretch of highway that produces an unusually high accident rate. A regression model was developed, with vehicle speed being predicted using age as the independent variable. The results obtained were:

ŷ = 56.78 + 0.124x

s

b = 2.88

1

a) Develop a 95% interval estimate for the true regression slope and interpret.

b) Based on your response to part a, can you conclude that age and speed are linearly related? Explain your answer.

c) Construct a 98% interval estimate for the difference in speed that drivers travel whose ages are 20 years apart. (Hint: Consider carefully the parameter that would measure this difference).

##### Solution Preview

a.)

<br>Because,

<br>b = <X> = 0.124

<br>s = 2.88

<br>n =100

<br>for 95% confidence interval

<br>z(alpha/2) = 1.96

<br>hence,

<br><X> - z*s/sqrt(n) < mu <<X> + z*s/sqrt(n)

<br>=> 0.124 - (1.96*2.88/sqrt(100)) < mu < 0.124 + (1.96*2.88/sqrt(100))

<br>=> -0.44048 < mu < ...

###### Education

- BEng, Allahabad University, India
- MSc , Pune University, India
- PhD (IP), Pune University, India

###### Recent Feedback

- " In question 2, you incorrectly add in the $3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
- "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
- "Answer was correct"
- "Great thanks"
- "Perfect solution..thank you"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.