To get extra practice, students in an SAT preparation class took two versions of the SAT math section on the same day.The scatterplot shows the relationship between scores on the first practice test and scores on the second practice test.The line \( y = x \) is included on the scatterplot, along with vertical lines separating the students into three groups based on their score on the first practice exam.**Scatterplot Explanation:**- **Axes:** - The horizontal axis represents the "First score," ranging from 400 to 800. - The vertical axis represents the "Second score," also ranging from 400 to 800. - **Data Points:** - Light blue dots represent individual student scores on the two practice tests.- **Line \( y = x \):** - A red diagonal line represents \( y = x \), indicating where scores would be equal on both tests. - **Vertical Lines:** - Three blue vertical lines divide the graph, categorizing students into groups based on their first score. The approximate division points are around scores of 500, 600, and 700.This visualization helps assess consistency between the two test versions by comparing how scores align with the line \( y = x \). (a) Of the 4 students who scored less than 500 on the 1st exam, what percent scored higher on the 2nd exam? Enter a whole number. [Blank space for percentage] %(b) Of the 7 students who scored greater than 650 on the 1st exam, what percent scored worse on the 2nd exam? Round the percentage to 1 decimal place. [Blank space for percentage] %(c) Explain how your answers to parts (a) and (b) illustrate regression to the mean.

Here we are given a scatterplot that shows the relation between scores of first practice test and…

Answered: (a) Of the 4 students who scored less…

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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Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= 0.495 Calculate the coefficient of determination. (Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line. (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)
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