Homework Help is Here – Start Your Trial Now!
Math
Statistics
MATH 1324 - Introduction to Statistics Practice Case for Correlation & Regression Roadside Assistance Case: In a town close to the Canadian border in North Dakota, a local 911 dispatch office is exploring the relationship between the high temperature (degrees Fahrenheit) and the number of stranded motorist calls that come into the 911 switchboard. Below are data collected over the coldest part of winter. The data contains the average high temperature for a week (X) and the total number of stranded motorist calls coming into the 911 switchboard during the week (Y). X o o y 15 0 12 22 24 -10 30 9 36 16 31 7 24 6 Carry out a correlation and regression analysis on this paired data by completing the following: • Create a scatterplot for the data Given that the sample correlation coefficient is -.933 and the denominator of the test statistic for the slope is .090531, o Find the formula for the least squares regression line that best captures the trend seen in the scatterplot o Predict the number of stranded motorist calls coming to the switchboard in a week if the high temperature is 20 degrees. Create a 95% confidence interval for the slope parameter Perform a hypothesis test in order to test for a significant linear relationship between X and Y. (In all calculations associated with this problem you should keep MANY decimals and avoid round off error as you work. Only round off to five or so decimals at the very end of your calculations, otherwise, use all decimals which appear on a standard calculator.)

MATH 1324 - Introduction to Statistics Practice Case for Correlation & Regression Roadside Assistance Case: In a town close to the Canadian border in North Dakota, a local 911 dispatch office is exploring the relationship between the high temperature (degrees Fahrenheit) and the number of stranded motorist calls that come into the 911 switchboard. Below are data collected over the coldest part of winter. The data contains the average high temperature for a week (X) and the total number of stranded motorist calls coming into the 911 switchboard during the week (Y). X o o y 15 0 12 22 24 -10 30 9 36 16 31 7 24 6 Carry out a correlation and regression analysis on this paired data by completing the following: • Create a scatterplot for the data Given that the sample correlation coefficient is -.933 and the denominator of the test statistic for the slope is .090531, o Find the formula for the least squares regression line that best captures the trend seen in the scatterplot o Predict the number of stranded motorist calls coming to the switchboard in a week if the high temperature is 20 degrees. Create a 95% confidence interval for the slope parameter Perform a hypothesis test in order to test for a significant linear relationship between X and Y. (In all calculations associated with this problem you should keep MANY decimals and avoid round off error as you work. Only round off to five or so decimals at the very end of your calculations, otherwise, use all decimals which appear on a standard calculator.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
MATH 1324 – Introduction to Statistics Practice Case for Correlation & Regression Roadside Assistance Case: In a town close to the Canadian border in North Dakota, a local 911 dispatch office is exploring the relationship between the high temperature (degrees Fahrenheit) and the number of stranded motorist calls that come into the 911 switchboard. Below are data collected over the coldest part of winter. The data contains the average high temperature for a week (X) and the total number of stranded motorist calls coming into the 911 switchboard during the week (Y). X y o o 15 12 0 22 24 -10 30 9 36 16 31 7 24 6 Carry out a correlation and regression analysis on this paired data by completing the following: Create a scatterplot for the data Given that the sample correlation coefficient is -.933 and the denominator of the test statistic for the slope is .090531, o Find the formula for the least squares regression line that best captures the trend seen in the scatterplot o Predict the number of stranded motorist calls coming to the switchboard in a week if the high temperature is 20 degrees. Create a 95% confidence interval for the slope parameter Perform a hypothesis test in order to test for a significant linear relationship between X and Y. (In all calculations associated with this problem you should keep MANY decimals and avoid round off error as you work. Only round off to five or so decimals at the very end of your calculations, otherwise, use all decimals which appear on a standard calculator.)
Transcribed Image Text:MATH 1324 – Introduction to Statistics Practice Case for Correlation & Regression Roadside Assistance Case: In a town close to the Canadian border in North Dakota, a local 911 dispatch office is exploring the relationship between the high temperature (degrees Fahrenheit) and the number of stranded motorist calls that come into the 911 switchboard. Below are data collected over the coldest part of winter. The data contains the average high temperature for a week (X) and the total number of stranded motorist calls coming into the 911 switchboard during the week (Y). X y o o 15 12 0 22 24 -10 30 9 36 16 31 7 24 6 Carry out a correlation and regression analysis on this paired data by completing the following: Create a scatterplot for the data Given that the sample correlation coefficient is -.933 and the denominator of the test statistic for the slope is .090531, o Find the formula for the least squares regression line that best captures the trend seen in the scatterplot o Predict the number of stranded motorist calls coming to the switchboard in a week if the high temperature is 20 degrees. Create a 95% confidence interval for the slope parameter Perform a hypothesis test in order to test for a significant linear relationship between X and Y. (In all calculations associated with this problem you should keep MANY decimals and avoid round off error as you work. Only round off to five or so decimals at the very end of your calculations, otherwise, use all decimals which appear on a standard calculator.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 26 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS