**Bivariate Data Analysis**Bivariate data for the quantitative variables \( x \) and \( y \) are given in the table below. These data are plotted in the scatter plot shown next to the table. In the scatter plot, sketch an approximation of the least-squares regression line for the data.**Data Table**| \( x \) | \( y \) ||--------|--------|| 3.3 | 8.2 || 5.9 | 4.8 || 7.6 | 2.8 || 8.6 | 1.4 || 8.8 | 1.3 || 7.2 | 6.0 || 4.1 | 7.9 || 4.4 | 6.8 || 3.3 | 9.2 || 5.2 | 7.8 || 7.2 | 2.7 || 3.6 | 9.8 || 2.8 | 10.0 || 5.4 | 6.1 || 5.7 | 4.7 || 6.5 | 5.8 || 6.5 | 3.9 || 7.7 | 3.2 |**Scatter Plot Explanation**The scatter plot visually represents the data points from the table on a graph, with \( x \)-values on the horizontal axis and \( y \)-values on the vertical axis. Each point corresponds to a pair of \( x \) and \( y \) values from the table.There is a clear trend observed in the scatter plot, where the points somewhat follow a downward trend, suggesting a potential negative correlation between \( x \) and \( y \). To better understand this relationship, you can sketch an approximation of the least-squares regression line, which aims to minimize the distance between the line and all of the points in the dataset.

EXCEL procedure: Go to EXCEL Go to Insert menu Select the range Choose Scatter plot>Scatter…

Answered: Bivariate data for the quantitative…

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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Bivariate data for the quantitative variables x and y are given in the table below. These data are plotted in the scatter plot shown next to the table. In the scatter plot, sketch an approximation of the least-squares regression line for the data. y 6.1 7.2 9.3 8.0 10.0 8.3 1.4 3.3 3.0 3.5 10- 4.7 5.8 4.2 5.1 7.0 5.8 2.0 3.8 7.9 7.7 4+ 5.4 5.9 7.4 6.6 6.4 5.5 9.5 8.4 3.5 4.8 0 5 6 7 8 9 10 11 4.5 4.6 2.6 2.5 8.4 7.6 5 ? 8
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Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the valuo of v for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x Stories, y 762 621 508 480 (b) x = 641 feet (d) x = 726 feet 515 491 (a) x= 498 feet (c) x = 810 feet 51 46 44 42 38 37 Find the regression equation. ý=x+ (D (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. OB O B. Oc. OD. 60- 604 60+ 800 B00 G 800 Height (feet) 800 Height (feet) 800 Height (feet) Height (feet) (a) Predict the value of y for x = 498. Choose the correct answer below. OA 40 ОВ. 50 O C. 47 O D. not meaningful (b) Predict the value of y for x 641. Choose the correct answer…
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