in km/100. The following data a representative of one study using drift bottles to study ocean currents. x day 72 79 32 96 203 y km/100 14.8 19.6 5.3 11.8 35.1 Σx=482 Σy=86.6 Σx2=62874
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.
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent The distance from point of release to point of recovery in km/100. The following data a representative of one study using drift bottles to study ocean currents.
x day 72 79 32 96 203
y km/100 14.8 19.6 5.3 11.8 35.1
Σx=482 Σy=86.6 Σx2=62874 Σy2=2002.54 Σxy=11041.7 r=.93787
use a 1% level of significance to test the claim p>0.(use 2 decimal places)
t=
critical t=
Se=4.4913 a=1.4966 b=.1641
D) find the predicted distance (km/100) when a drift bottle has been floating for 80 days.(use 2 decimal places)
find a 90% confidence interval for your prediction of part D. (use 2 decimal places)
lower limit=___km/100
upper limit=___km/100
he was a 1% level of significance to test the claim that b>0.( use 2 decimal places)
lower limit=
upper limit=
find a 95% confidence interval for b and interpret its meaning in terms of drift rate.(use 2 decimal places)
lower limit =
upper limit =
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