The table below gives the average weight (in kilograms) of certain people ages 1–20. Use Excel to find the best fit linear regression equation, where age is the explanatory variable. Round the slope and intercept to two decimal places. Age Weight1 9.22 12.03 14.24 15.45 17.96 19.97 22.48 25.89 28.110 31.911 36.912 41.513 45.814 47.615 52.116 53.517 54.418 56.719 57.120 58.0 Answer: y= ___x+___
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 table below gives the average weight (in kilograms) of certain people ages 1–20. Use Excel to find the best fit linear regression equation, where age is the explanatory variable. Round the slope and intercept to two decimal places.
1 9.2
2 12.0
3 14.2
4 15.4
5 17.9
6 19.9
7 22.4
8 25.8
9 28.1
10 31.9
11 36.9
12 41.5
13 45.8
14 47.6
15 52.1
16 53.5
17 54.4
18 56.7
19 57.1
20 58.0
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