### Regression Analysis on Bivariate DataThis section of the educational website will walk you through performing a regression analysis on a given set of bivariate data, with the response variable denoted as \( y \).#### Data SetThe table below displays the bivariate data with variables \( x \) and \( y \):| \( x \) | \( y \) ||---------|---------|| 67.7 | -25.7 || 72.5 | -5 || 55.8 | 21.3 || 64.1 | 11 || 70.9 | 64.9 || 61.6 | -25 || 65.5 | 28.7 || 73.6 | 84.6 || 68.1 | 15 || 70.1 | 75.3 || 72.4 | 84.4 || 56.1 | 92 || 55 | -5.4 || 72.5 | 16.5 || 72 | 38.7 || 64 | 38.7 || 70.8 | -15.7 |#### InstructionsThe task is to predict the average value for the response variable \( y \) given an explanatory variable \( x \) value of 63.4. We will use a significance level of \( \alpha = 0.05 \) to assess the strength of the linear correlation between \( x \) and \( y \).##### Steps to Follow:1. **Data Plotting and Visualization:** - Plot the dataset on a scatter plot. - Analyze the trend and linearity of the data points.2. **Calculate the Regression Equation:** - Determine the slope (\( b \)) and intercept (\( a \)) of the regression line using formulas:\[ b = \frac{n\sum{(xy)} - (\sum{x})(\sum{y})}{n\sum{x^2} - (\sum{x})^2} \]\[ a = \frac{\sum{y} - b(\sum{x})}{n} \]3. **Correlation Coefficient

Given: x y 67.7 -25.7 72.2 -5 55.8 21.3 64.1 11 70.9 64.9 61.6 -25 65.3 84.6…

Answered: What is the predicted response value?

Math

Statistics

What is the predicted response value?

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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