. Lamb’s-quarter is a common weed that interferes with the growth of corn. An agricultural researcher planted corn at the same rate in 16 small plots of land, then weeded the plots by hand to allow a fixed number of lamb’s-quarter plants to grow in each meter of corn row. No other weeds are allowed to grow. Mean SD Weeds per meter 3.25 3.61 Yield 162.9125 8.66 If the correlation between the variables is -.457, answer the following questions.(a) What is the equation of the regression line? Write your answer in terms of the variables. (b) Interpret the slope in terms of the problem. (c) Does it make sense to interpret the y−intercept? If it does, interpret the intercept in terms of the problem. (d) What proportion of the variation in yield is explained by the equation of the regression line?
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.
. Lamb’s-quarter is a common weed that interferes with the growth of corn. An agricultural researcher planted corn at the same rate in 16 small plots of land, then weeded the plots by hand to allow a fixed number of lamb’s-quarter plants to grow in each meter of corn row. No other weeds are allowed to grow.
Mean | SD | |
Weeds per meter | 3.25 | 3.61 |
Yield | 162.9125 | 8.66 |
If the
(a) What is the equation of the regression line? Write your answer in terms of the variables.
(b) Interpret the slope in terms of the problem.
(c) Does it make sense to interpret the y−intercept? If it does, interpret the intercept in terms of the problem.
(d) What proportion of the variation in yield is explained by the equation of the regression line?
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