On the second sheet is data which shows the rate of growth of a particular patch of bamboo vs daily high temperature. (a) Construct a scatterplot, including the equation of the line of best fit and value of R2. (b) What would the predicted growth rate be for a day with a temperature of 84◦? (c) Is there evidence, at α = 0.01, to support a claim that there is a linear relationship between temperature and growth rate? Please state clearly the null hypothesis, the alternative hypothesis, and what decision you make.
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.
On the second sheet is data which shows the rate of growth of a particular patch of bamboo vs daily high temperature.
(a) Construct a scatterplot, including the equation of the line of best fit and value of R2.
(b) What would the predicted growth rate be for a day with a temperature of 84◦?
(c) Is there evidence, at α = 0.01, to support a claim that there is a linear relationship between temperature and growth rate? Please state clearly the null hypothesis, the alternative hypothesis, and what decision you make.
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