The data below show the number of three-base hits (triples) and the number of home runs hit during the season by a random sample of MLB teams. Triples 30 31 30 20 19 22 Home runs 305 315 305 205 195 225 The correlation coefficient for the data is =r1 and =α0.05. Should regression analysis be done? Now Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary. =y′+abx =a Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary. =y′+abx =a =b Now Find y′ when =x25. Round your answer to at least three decimal places, if necessary. =y′
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.
The data below show the number of three-base hits (triples) and the number of home runs hit during the season by a random sample of MLB teams.
| Triples |
30
|
31
|
30
|
20
|
19
|
22
|
|---|---|---|---|---|---|---|
| Home runs |
305
|
315
|
305
|
205
|
195
|
225
|
|
| Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary. | ||
|
=y′+abx
|
||
|
=a
|
||
|
=b
|
||
| Now Find y′ when =x25. Round your answer to at least three decimal places, if necessary. | ||
|
=y′
|
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