**Study of Rainfall and Air Pollution**A research project analyzed the relationship between the amount of rainfall and the quantity of air pollution removed, using the data provided below. The goal is to complete parts (a) and (b) of this study.### Regression Analysis(a) **Equation of the Regression Line** To predict the particulate matter removed based on daily rainfall, determine the equation of the regression line. This equation is represented as \( \hat{y} = \) [calculate and insert coefficients here] \( + \) [calculate and insert coefficients here] \( x \). Note: The coefficients should be rounded to two decimal places.### Data Table**Daily Rainfall and Air Pollution Data**| Daily Rainfall, \( x \) (0.01 cm) | Particulate Removed, \( y \) (\( \mu g / m^3 \)) ||-----------------------------------|-------------------------------------------------|| 4.3 | 127 || 4.5 | 121 || 5.9 | 117 || 5.6 | 119 || 6.1 | 114 || 5.3 | 119 || 3.8 | 133 || 2.1 | 142 || 7.5 | 107 |This dataset reflects the varying levels of particulate removal corresponding to different daily rainfall amounts measured in tenths of centimeters. Note: Use the "Print" option for hard copies of data or calculations as needed.For further assistance, click "Done" to close the data view or "more help" for additional resources.

Given that X Y X \cdot YX⋅Y X^2X2 Y^2Y2 4.3 127 546.1 18.49 16129 4.5 121 544.5 20.25…

Answered: A study of the amount of rainfall and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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X₁ is the The volume (in cubic feet) of a black cherry tree can be modeled by the equation y = -51.2 +0.4x₁ + 4.8x2, where tree's height (in feet) and x₂ is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables. (a) x₁ = 73, x₂ = 8.8 (b) x₁ = 67, x₂ = 11.5 (c) x₁ = 85, x₂ = 17.6 (d) x₁ = 92, x₂ = 20.8 cubic feet. (a) The predicted volume is (Round to one decimal place as needed.) (b) The predicted volume is cubic feet. (Round to one decimal place as needed.) (c) The predicted volume is cubic feet. (Round to one decimal place as needed.) (d) The predicted volume is cubic feet. (Round to one decimal place as needed.) Next
Refer to the data set: x -1 1 -2 3 0 2 y 9 2 15 1 4 1.5 Part a: Make a scatterplot and determine which type of model best fits the data.Part b: Find the regression equation, round decimals to one place.Part c: Use the equation from Part b to determine y when x = 5.
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Part a: Make a scatter plot and determine which type of model best fits the data.Part b: Find the regression equation.Part c: Use the equation from Part b to determine y when x = 1.5.
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