A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 55 49 67 70 46 68 41 54 Sprout Percent 48.5 64.5 45.5 41 59 49 67.5 48 d. r2r2 = (Round to two decimal places) f. The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) g. Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds. Percent sprouting = (Please round your answer to the nearest whole number.)
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.
A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.
| Seeds Produced | 55 | 49 | 67 | 70 | 46 | 68 | 41 | 54 |
|---|---|---|---|---|---|---|---|---|
| Sprout Percent | 48.5 | 64.5 | 45.5 | 41 | 59 | 49 | 67.5 | 48 |
d. r2r2 = (Round to two decimal places)
f. The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places)
g. Use the model to predict the percent of seeds that sprout if the plant produces 54 seeds.
Percent sprouting = (Please round your answer to the nearest whole number.)
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