Question
Asked Jan 16, 2020
2 views

Lemons and Car Crashes Using the listed lemon/crash data, find the best predicted crash fatality rate for a year in which there are 500 metric tons of lemon imports. Is the prediction worthwhile?

530
480
358
265
230
Lemon Imports
14.9
15.3
15.4
15.7
15.9
Crash Fatality Rate
help_outline

Image Transcriptionclose

530 480 358 265 230 Lemon Imports 14.9 15.3 15.4 15.7 15.9 Crash Fatality Rate

fullscreen
check_circle

Expert Answer

Step 1

Regression:

The regression analysis is conducted here by using EXCEL. The software procedure is given below:

  • Enter the data.
  • Select Data > Data Analysis > Regression> OK.
  • Enter Input Y Range as CRASH FERTILITY RATES.
  • Enter Input X Range as LEMON IMPORTS.
  • Click OK.

The output using EXCEL is as follows:

Statistics homework question answer, step 1, image 1
fullscreen
Step 2

From the output, regression equation is, Crash Fatality Rate= 16.5-0.003(Lemon Imports).

Strategy for Predicting the y value:

Analyze the below mentioned conditions for predicting the y value.

 

  • In scatterplot, the regression line fits the point well.
  • The value of r indicates that there is a linear correlation between the variables.
  • The prediction value is not away from the range of the given sample data.

 

If the regression equation satisfies the above mentioned conditions, then the regression is said to be a good model. Here, substitute the given value of x into the regression equation to predict the value of y.

If the regression equation does not satisfy the above conditions, then the regression is not a good model. Here, the best predicted value of y is the value of y-bar.

The scatter diagram, along with the best fitted line (least-squares regression line) for the data is as follows:

Statistics homework question answer, step 2, image 1
fullscreen
Step 3

The horizontal axis represents lemon imports and the vertical axis represents crash fertility rates.

From the plot, it is observed that the regression line fit the points well.

Correlation coefficient r:

The hypotheses are given below:

Null hypothesis:

H0: r = 0

That is, there is no linear correlation between the weights of lemon imports from Mexico and U.S. car fatality rates.

Alternative hypothesis:

Ha: r≠ 0

That is, there is a linear correlation between the the weights of lemon imports from Mexico and U.S. car fatality rates.

Sample correlation coefficient:

The value of the sample correlation coefficient (r) can be obtained using Excel formula.

Enter the function, =CORREL(A2:A5,B2:B5).

Thus, the value of the sample correlation coefficient, r is –0.959.

Conclusion:

The P-value is...

Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Poker Chips. A bowl contains 12 poker chips—3 red, 4 white, and 5 blue. One of these poker chips is ...

A: The probability that the selected chip is a blue chip is calculated below,

question_answer

Q: Construct a Venn diagram representing the event a.(A or B or C).b.((not A)&B)

A: a)Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship bet...

question_answer

Q: Standard Tests Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multipl...

A: Given:Possible number of correct answers are a, b, c, d, eTotal number of guesses are = 5From that g...

question_answer

Q: Powerball: Poisson Approximation to Binomial There is a 1/292,201,338 probability of winning the Pow...

A: Requirements for using the Poisson distributions as an approximation to binomial distribution are as...

question_answer

Q: Redundancy Using Braun battery-powered alarm clocks, the author estimates that the probability of fa...

A: a).An author estimates that the probability for Braun battery-powered alarm clocks failing on any gi...

question_answer

Q: Elevator Safety Example 2 referred to an elevator with a maximum capacity of 4000 lb. When rating el...

A: The random variable x represents weights of the male passengers.

question_answer

Q: Subjective Probability Estimate the probability that the next time you ride in a car, the car gets a...

A: When the car is driven the next time, the car tire becomes flat.The answer may vary based on relevan...

question_answer

Q: Cell Phones and Handedness A study was conducted to investigate the association between cell phone u...

A: a.The test hypotheses are:Null hypothesis:H0: p1 = p2, that is, there is no difference in the rate o...

question_answer

Q: In each of Exercises, we have presented either a contingency table or a joint probability distributi...

A: The formula for conditional probability is,