Wind and Pollution The amount of particulate pollution p in the air depends on the wind speed s, amongother things, with the relationship between p and sapproximated by p = 25 - 0.01s2, where p is inounces per cubic yard and s is in miles per hour.a. Sketch the graph of this model with s on the horizontal axis and with nonnegative values of s and p.b. Is the function increasing or decreasing on thisdomain?c. What is the p-intercept of the graph?d. What does the p-intercept mean in the context ofthis application?

Q: 2. Sketch graph of each function, including the basic function and all intermediate curves. y=-2x+3…

A: We have to sketch each function by using table method.

Q: Compare the graphs of the functions. Y = In and Y, = Inx - In 2

A: Given: The functions given are  Y1=lnx2   &  Y2=ln x -ln 2

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A:

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A:

Q: 4. The value in dollars, y, of a boat x years after it was purchased can be modeled by the function…

A: y=36000-900x

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A:

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A:

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A: Formula for the growth of pasture in the arid zone of Australia : Y = −55.12 − 0.01535N − 0.00056N2…

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A: Given, Speed(X) noise(Y) 10 42 30 57 50 64 70 66 100 71 power function: Y = AXB

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A: Given,x = |y| − 4 …(1)

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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.