The following table gives the average August temperature (y) and geographic latitude (x) for 20 cities in the United States. The following formula is the regression equation relating these two variables. y=113.6-1.01x (a) The latitude at the equator is 0. Using the regression equation, estimate the average August temperature at the equator.
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 following table gives the average August temperature (y) and geographic latitude (x) for 20 cities in the United States.
The following formula is the regression equation relating these two variables.
y=113.6-1.01x
 alt="City
Latitude Aug Temp
Miami FL
26
83
Houston TX
30
82
Mobile AL
31
82
Phoenix AZ
33
92
Dallas TX
33
85
Los Angeles CA
34
75
Memphis TN
35
81
Norfolk VA
37
77
San Francisco CA
38
64
Baltimore MD
39
76
Kansas City MO
39
76
Washington DC
39
74
Pittsburgh PA
40
71
Cleveland OH
41
70
New York NY
41
76
Boston MA
42
72
Syracuse NY
43
68
Minneapolis MN
45
71
Portland OR
46
69
Duluth MN
47
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