while in high school, Clayton started his T-shirt printing business. The table shows the number of T-shirts Clayton has sold each year since starting his business in 2010 year 2010 2011 2012 2013 2014 2015 2016 number of t-shirts 50 75 175 125 250 350 375 the linear regression equation representing the data shown in the table is y=57.14x + 28.57, where x represents the number of years since 2010 and y represents the number of T-shirts sold. expression unit contextual meaning mathematical meaning y 57.14 x 28.57 use the regression equation to predict the number of T-shirts Clayton sold during each given year then compare the prediction to actual number of T-shirt or determine if the prediction is reasonable based on the problem situation. 2012 2014 2016 2018 2024
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.
while in high school, Clayton started his T-shirt printing business. The table shows the number of T-shirts Clayton has sold each year since starting his business in 2010
| year | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 |
| number of t-shirts | 50 | 75 | 175 | 125 | 250 | 350 | 375 |
the linear regression equation representing the data shown in the table is y=57.14x + 28.57, where x represents the number of years since 2010 and y represents the number of T-shirts sold.
| expression | unit | contextual meaning | mathematical meaning |
| y | |||
| 57.14 | |||
| x | |||
| 28.57 |
use the regression equation to predict the number of T-shirts Clayton sold during each given year then compare the prediction to actual number of T-shirt or determine if the prediction is reasonable based on the problem situation.
2012
2014
2016
2018
2024
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