A population data set produced the following information. n= 30 Σx = 9290 Σ 1418 Σy 85010 and Σ?-430730 (a) Determine the population regression line. Round the coefficients to four decimal places. ŷ = 1 (b) Predict the value of y if x is 30. Round the answer to four decimal places. y = i
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 population data set produced the following information.
n= 250 Ex = 9290 Ey = 1418 xy = 85010 and E = 480730
(a) Determine the population regression line.
Round the coefficients to four decimal places.
i
(b) Predict the value of y if x is 30.
Round the answer to four decimal places.
y = i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f696dc0-269c-4234-993f-96e38c16db0b%2F47395e6b-0fc1-4ac9-8132-73b33d46ecea%2Fhj31ff8_processed.png&w=3840&q=75)
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