Is It Getting Harder to Win a Hot Dog Eating Contest? Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008? Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or negative in 2010? Choose the answer from the menu in accordance to item (b) of the question statement PositiveNegative (c) Use StatKey or other technology to find the correlation. Round your answer to three decimal places. r=Enter your answer in accordance to the question statement
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.
Is It Getting Harder to Win a Hot Dog Eating Contest?
Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line.
| Year | Hot Dogs | |
| 2015 | 62 | |
| 2014 | 61 | |
| 2013 | 69 | |
| 2012 | 68 | |
| 2011 | 62 | |
| 2010 | 54 | |
| 2009 | 68 | |
| 2008 | 59 | |
| 2007 | 66 | |
| 2006 | 54 | |
| 2005 | 49 | |
| 2004 | 54 | |
| 2003 | 45 | |
| 2002 | 50 |
Winning number of hot dogs in the hot dog eating contest
Winning number of hot dogs and buns
Click here for the dataset associated with this question.
(a) Is the trend in the data mostly positive or negative?
|
|
Positive |
|
|
Negative |
(b) Using the figure provided, is the residual larger in 2007 or 2008?
Choose the answer from the menu in accordance to item (b) of the question statement
Is the residual positive or negative in 2010?
Choose the answer from the menu in accordance to item (b) of the question statement
(c) Use StatKey or other technology to find the correlation.
Round your answer to three decimal places.
r=Enter your answer in accordance to the question statement
the absolute tolerance is +/-0.001
(d) Use StatKey or other technology to find the regression line to predict the winning number of hot dogs from the year.
Round your answer for the intercept to the nearest integer and your answer for the slope to two decimal places.
HotDogs^=Enter your answer in accordance to item (d) of the question statement + Enter your answer in accordance to item (d) of the question statement(Year)
|
(f) Predict the winning number of hot dogs in 2016.
Round your answer to the nearest integer.
HotDogs^=Enter your answer in accordance to the question statement
the absolute tolerance is +/-20
Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
Given:
| Year | Hot Dogs |
| 2015 | 62 |
| 2014 | 61 |
| 2013 | 69 |
| 2012 | 68 |
| 2011 | 62 |
| 2010 | 54 |
| 2009 | 68 |
| 2008 | 59 |
| 2007 | 66 |
| 2006 | 54 |
| 2005 | 49 |
| 2004 | 54 |
| 2003 | 45 |
| 2002 | 50 |
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
