2. In class, we matched functions to their derivatives. We will do that again, and match some properties too. Consider these four functions and their derivatives you matched earlier. f(r) f'() (i) 2 (A) -3 1 2 3 -3 -2 -1 -1 1 2 -2 -21 f(r) f(r) (ii) (B) 1 3 3 2 -1 2 1 2 -3 -2 -1 -1 -2 2 fr) f(x) (C) (ii) 2 -3: 3 -2 1 2 -2 2 f'(r) f(r) (D) (iv) 1 2 -3 -2 -1 -3 -2/ -1 1 2 1 (b) Determine which of the four properties corresponds to the functions above. Note that f"(x) is interpreted as the derivative of the derivative of f(x), etc. (p1) The derivative of f'(x) never switches sign. Corresponding function (number only): (p2) f(x) has a vertical tangent line at x -1. Corresponding function (number only): (p3) The derivative of f'(x) is undefined at x 1. Corresponding function (number only): 11 (p4) f'(x) and its derivative are zero at x 0 and only at x 0. 1 Corresponding function (number only): 3 3
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.
Just need Question 2b, p1-p4
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