Regression Statistics Multiple R 0.962746025 R Square 0.926879908 Adjusted R Square 0.926385853 Standard Error 0.47895943 Observations 150
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.
![The Iris Flower Data Set at
https://en.wikipedia.org/wiki/Iris flower data set e consists of
measurements taken from Iris flowers: the petal length and width and the
sepal length and width were measured in centimeters (cm) and recorded for
a lot of flowers.
We are interested in being able to use the petal width to predict the petal
length.
Use the Excel output provided below to answer the Iris Flower questions
that follow.
SUMMARY OUTPUT
Data from:
https://en.wikipedia.org/wiki/Iris flower data set
Using Petal Width to predict Petal Length.
Regression Statistics
Multiple R
0.962746025
R Square
0.926879908
Adjusted R Square
0.926385853
Standard Error
0.47895943
Observations
150
ANOVA
df
MS
Significance F
Regression
1
430.373884
430.373884
1876.067473 5.90274E-86
Residual
148
33.951516
0.229402135
Total
149
464.3254
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0% Upper 95.0%
Intercept
1.079463302 0.073168311
14.75315321
7.2245E-31
0.934873757 1.224052847 0.934873757 1.224052847
Petal width
2.232113915
0.051533795
43.31359455
5.90274E-86 2.130276823 2.333951007 2.130276823 2.333951007](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67cd3f4f-dcc4-44d4-83f4-13332296f2a9%2F1ff2c5c5-0f20-419c-b02f-93df74700ad3%2Fmlv7i3a_processed.png&w=3840&q=75)
![What is the sample linear correlation coefficient for petal width and petal
length?
Enter your answer to three decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67cd3f4f-dcc4-44d4-83f4-13332296f2a9%2F1ff2c5c5-0f20-419c-b02f-93df74700ad3%2Fpuwya6l_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)