emperatures, in degrees Celsius, and mean coral growth, in centimeters per the Gulf of Mexico and the Caribbean Sea. The table shows the data for the C Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1 Growth 0.85 0.85 0.79 0.86 0.89 0.92 Toancertthe complete data sct click the link for your preferred software forma
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.
Using the data in the photo. Find the
![temperatures, in degrees Celsius, and mean coral growth, in centimeters per yar,
the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Cfo
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth
0.85 0.85 0.79 0.86 0.89 0.92
To access the complete data set, click the link for your preferred software format:
Excel Minitab JMP SPSS TI R
Mac-TXT PO TXT CSV Crunchlt!
NDetermine the explanatory variable, then use that information to choose the correct
gative linear pattern.
Growth vs Sea Surface Temperature
Question Source Maore,
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![estion 10 of 17
Sea surface temperature (degrees C)
Attempt 3
(b) Find the correlation r step by step. Round off to two decimals places in each step. First, find the mean and standard
deviation of each variable. Then, find the six standardized values for each variable. Finally, use the formula for r. Round
your answer to three decimal places.
(c) Enter these data into your calculator or software. and use the correlation function to findr. Check that you get the same
results as using the formula. up to round off error. Round your answer to three decimal places.
Question Source: Moore, The Basic Practice Of Statistics, 8e Publisher: W.H. Freeman
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