### Regression Equation AnalysisThe estimated regression equation for a model involving two independent variables and 10 observations is as follows:\[ \hat{y} = 29.1270 + 0.5906x_1 + 0.4980x_2 \]#### a. Interpret \( b_1 \) and \( b_2 \) in this estimated regression equation.- **\( b_1 \)** represents the change in the dependent variable \( \hat{y} \) for a one-unit change in the independent variable \( x_1 \), keeping \( x_2 \) constant. - **\( b_2 \)** represents the change in the dependent variable \( \hat{y} \) for a one-unit change in the independent variable \( x_2 \), keeping \( x_1 \) constant.#### b. Predict \( y \) when \( x_1 = 180 \) and \( x_2 = 310 \) (to 2 decimals).*The box is provided to input your calculated prediction based on the given values for \( x_1 \) and \( x_2 \).*

The dependent variable is y. The independent variables are x1 and x2. This is multiple regression…

Answered: The estimated regression equation for a…

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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Refer to the data set:(-1, 2), (1, 3), (1, 5), (2, 7), (3, 8), (4, 11)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 = 10
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
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Please solve only part d) and part e)

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The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = 29.1270 + .5906x, + .4980x, a. Interpret bị and bz in this estimated regression equation. b1 Select b2 Select b. Predict y when x1 = 180 and x2 - 310 (to 2 decimals).