Create a scatter plot on paper using the data below relating year and world record time on the 100 meter dash. Remember that it is important that your scatter plot is scaled and very accurately graphed. You can use a computer generated scatter plot if you prefer. Year World Record Time (nearest tenth of a second) 1912 10.6 1921 10.4 1930 10.3 1936 10.2 1956 10.1 1960 10.0 1968 9.9 1999 9.8 2008 9.7 2009 9.6 Use your graph to help you write an equation for a linear model giving T, the time in seconds of the record 100 meter dash, in terms of y, the number of years after 1900. T = Use the model you created to predict when the world record will fall below 9.0 seconds. The model predicts the world record will fall below 9.0 seconds in year ?
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.
Create a
| Year | World Record Time (nearest tenth of a second) |
|
1912 |
10.6 |
| 1921 | 10.4 |
| 1930 | 10.3 |
| 1936 | 10.2 |
| 1956 | 10.1 |
| 1960 | 10.0 |
| 1968 | 9.9 |
| 1999 | 9.8 |
| 2008 | 9.7 |
| 2009 | 9.6 |
Use your graph to help you write an equation for a linear model giving T, the time in seconds of the record 100 meter dash, in terms of y, the number of years after 1900.
T =
The model predicts the world record will fall below 9.0 seconds in year ?
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