Q4. Using the listed duration and interval after times, find the best predicted “interval after” time for an eruption with a duration of 253 seconds. How does it compare to an actual eruption with a duration of 253 seconds and an interval after time of 83 minutes? Duration 242 255 227 251 262 207 140 Interval After 91 81 91 92 102 94 91 a) Find the value of the linear correlation coefficient ? b) Find the critical values of r from table A-6 using ∝= 0.05 c) Determine whether there is sufficient evidence to support a claim of a linear correlation Between the two variables.
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.
Q4. Using the listed duration and interval after times, find the best predicted “interval after”
time for an eruption with a duration of 253 seconds. How does it compare to an actual eruption
with a duration of 253 seconds and an interval after time of 83 minutes?
Duration 242 255 227 251 262 207 140
Interval
After
91 81 91 92 102 94 91
a) Find the value of the linear
b) Find the critical values of r from table A-6 using ∝= 0.05
c) Determine whether there is sufficient evidence to support a claim of a linear correlation
Between the two variables.
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