### Understanding the Role of $ R^2 $ in Sales Data AnalysisData from a small bookstore are presented in the accompanying table. Through this data, we will determine the value of $ R^2 $ and understand what it signifies in the context of our regression analysis.#### Table for Regression AnalysisThe table shows the relationship between the number of salespeople working and the sales figures (in $1000).| Number of Sales People Working | Sales (in $1000) ||-------------------------------|--------------------|| 2 | 10 || 4 | 11 || 5 | 14 || 9 | 15 || 10 | 18 || 10 | 20 || 12 | 21 || 15 | 22 || 17 | 24 || 20 | 25 |*Averages and standard deviations for the datasets:*- $\bar{x} = 10.4$- $SD(x) = 5.80$- $\bar{y} = 17.7$- $SD(y) = 5.01$#### Determining $ R^2 $ To find the value of $ R^2 $, follow the steps below:1. Calculate the correlation coefficient ($r$).2. Square the correlation coefficient to obtain $ R^2 $.#### What is the Value of $ R^2 $?\[ R^2 = \Box \% \]*(Round to two decimal places as needed.)*#### Interpretation of $ R^2 $What does the value of $ R^2 $ signify?*(Round to the nearest whole number as needed.)*- **Option A:** About $\Box\%$ of the variance in Sales can be accounted for by the regression of Sales on the Number of Sales People Working.- **Option B:** About $\Box\%$ of the variance in the Number of Sales People Working can be accounted for by the regression of Sales on the Number of Sales People Working.##### ConclusionBy understanding the $ R^2 $ value obtained from our data, it allows us to gauge the effectiveness of our regression model in explaining the relationship between the number of salespeople working and the sales generated.

In this case, the number of sales people working (x) is the independent variable and corresponding…

Data Table Data from a small bookstore are shown in the accompanying table. What is the value of R? and what does it mean? Click the icon to view the data table. Number of sales What is the value of R2? people working Sales (in $1000) 2 10 R? -% 4 11 (Round to two decimal places as needed.) 14 6. 15 What does the value of R? mean? (Round to the nearest whole number as needed.) 10 18 10 20 20 12 15 22 O A. About % of the variance in Sales can be accounted for by the regression of Sales on Number of Sales People Working. 17 22 20 25 O B. About % of the variance in the Number of Sales People working can be accounted for by the regression of Sales on Number of Sales People Working. y= 17.7 SD(y) = 5.01 X= 10.4 SD(x) = 5.80 Print Done

Data Table Data from a small bookstore are shown in the accompanying table. What is the value of R? and what does it mean? Click the icon to view the data table. Number of sales What is the value of R2? people working Sales (in $1000) 2 10 R? -% 4 11 (Round to two decimal places as needed.) 14 6. 15 What does the value of R? mean? (Round to the nearest whole number as needed.) 10 18 10 20 20 12 15 22 O A. About % of the variance in Sales can be accounted for by the regression of Sales on Number of Sales People Working. 17 22 20 25 O B. About % of the variance in the Number of Sales People working can be accounted for by the regression of Sales on Number of Sales People Working. y= 17.7 SD(y) = 5.01 X= 10.4 SD(x) = 5.80 Print Done

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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