sixth-grade teacher believes that there is a relationship between his students’ IQ scores (y) and the numbers of hours (x) they spend watching television each week. The following table shows a random sample of 7 sixth-grade students. y 125 116 97 114 85 107 105 x 5 10 30 16 41 28 21 Does the data provide sufficient evidence to indicate that the simple linear regression model is appropriate to describe the relationship between x and y? Perform a model utility test at α = 0.05. (Give H0, Ha, rejection region, observed test statistic, P-value, decision
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.
A sixth-grade teacher believes that there is a relationship between his students’ IQ
scores (y) and the numbers of hours (x) they spend watching television each week. The
following table shows a random sample of 7 sixth-grade students.
y 125 116 97 114 85 107 105
x 5 10 30 16 41 28 21
Does the data provide sufficient evidence to indicate that the simple linear regression
model is appropriate to describe the relationship between x and y? Perform a model utility
test at α = 0.05. (Give H0, Ha, rejection region, observed test statistic, P-value, decision
and conclusion.)
Find the Pearson sample
the result.
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