Directions: Complete problems below, make sure to include labels. Show work where necessary. Make sure to include labels and complete sentences, as necessary. 1. Reflection Question 3-9: Does the line of best fit always provide useful information about the data it represents? Why or why not? (Hint: your answer should probably mention the correlation coefficient) The following table shows the population of Columbus from 2000-2006. Let x represent the number of years since 2000. For example, the year 2000 is represented by x = 0. Year Years since 2000 (x) Population (y) 2000 0 715,971 2001 1 723,822 2002 2 727,909 2003 3 733,706 2004 4 735,971 2005 5 738,782 2006 6 744,473 Source: http://www.biggestuscities.com/city/columbus-ohio 2. Use your calculator to find a best fit equation in the form of y mx b . Estimate coefficients to the nearest hundredths. 3. What is the slope and what does it mean for the population of Columbus? 4. Based on the equation from #2, what should the population be in the year 2017? Round to the nearest whole person.
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.
Directions: Complete problems below, make sure to include labels. Show work where necessary. Make sure to include labels and complete sentences, as necessary.
1. Reflection Question 3-9: Does the line of best fit always provide useful information about the data it represents? Why or why not? (Hint: your answer should probably mention the
The following table shows the population of Columbus from 2000-2006. Let x represent the number of years since 2000. For example, the year 2000 is represented by x = 0.
|
Year |
Years since 2000 (x) |
Population (y) |
|
2000 |
0 |
715,971 |
|
2001 |
1 |
723,822 |
|
2002 |
2 |
727,909 |
|
2003 |
3 |
733,706 |
|
2004 |
4 |
735,971 |
|
2005 |
5 |
738,782 |
|
2006 |
6 |
744,473 |
Source: http://www.biggestuscities.com/city/columbus-ohio
2. Use your calculator to find a best fit equation in the form of y mx b . Estimate coefficients to the nearest hundredths.
3. What is the slope and what does it mean for the population of Columbus?
4. Based on the equation from #2, what should the population be in the year 2017? Round to the nearest whole person.
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