Please answer both questions **Using the Regression Equation**In this exercise, you will use a regression equation to predict the value of $ y $ for $ x = -2.8 $. Assume that the variables $ x $ and $ y $ have a significant correlation. Below is the dataset provided:\[\begin{array}{|c|c|c|c|c|c|c|c|c|}\hlinex & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hliney & 11 & -6 & 8 & -3 & -2 & 1 & 5 & -5 & 6 & 7 \\\hline\end{array}\]Select the correct predicted value of $ y $:- A) -6.424- B) 3.643- C) 0.551- D) -5.320---**Finding the Regression Line**Next, find the equation of the regression line for the given data. The dataset remains the same:\[\begin{array}{|c|c|c|c|c|c|c|c|c|}\hlinex & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\\hliney & 11 & -6 & 8 & -3 & -2 & 1 & 5 & -5 & 6 & 7 \\\hline\end{array}\]Choose the correct equation for the regression line:- A) $ y = 2.097x - 0.206 $- B) $ y = -2.097x + 0.206 $- C) $ y = 0.206x - 2.097 $- D) $ y = -0.206x + 2.097 $

Answered: Use the regression equation to predit…

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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Please answer both questions

**Using the Regression Equation**

In this exercise, you will use a regression equation to predict the value of $ y $ for $ x = -2.8 $. Assume that the variables $ x $ and $ y $ have a significant correlation. Below is the dataset provided:

\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\
\hline
y & 11 & -6 & 8 & -3 & -2 & 1 & 5 & -5 & 6 & 7 \\
\hline
\end{array}
\]

Select the correct predicted value of $ y $:

- A) -6.424
- B) 3.643
- C) 0.551
- D) -5.320

---

**Finding the Regression Line**

Next, find the equation of the regression line for the given data. The dataset remains the same:

\[
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & -5 & -3 & 4 & 1 & -1 & -2 & 0 & 2 & 3 & -4 \\
\hline
y & 11 & -6 & 8 & -3 & -2 & 1 & 5 & -5 & 6 & 7 \\
\hline
\end{array}
\]

Choose the correct equation for the regression line:

- A) $ y = 2.097x - 0.206 $
- B) $ y = -2.097x + 0.206 $
- C) $ y = 0.206x - 2.097 $
- D) $ y = -0.206x + 2.097 $

Expert Solution

Step 1

Hey, since there are multiple question posted, we will answer first questions. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

Step-by-step procedure to find the regression equation using Excel:

In Excel sheet, enter X in one column and enter Y in one column.
In Data, select Data Analysis and choose Regression.
In Input Variable y Range, select Y.
In Input Variable x Range, select X.
Click Residuals and Residual Plot.
Click Labels.
Click Ok.

Output obtained using Excel is given below:

From the output, the regression equation is $\hat{y} = - 0.551 + 2.097 x$ .

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