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=0.926
I’m taking a statistics and probability class. Please get this correct because I want to learn. I have gotten wrong answers on here before
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P(p 20.515), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
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 = -0.338 Calculate the coefficient of determination. (Round to three decimal places as needed.) % of the variation can be explained by the regression line (Round to one decimal place as needed.) % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)
Aparticularly statistically curious clickbait website writer noticed that all the cool creative people he knows are also very anxious or neurotic. To test his hunch, he find 5 volunteer friendsand gives thema surveyon neuroticism (1-5 point scale) and a puzzle he found on the internet that supposedly is solved faster by more creative peopleand measures how long it takes each person to solve in seconds. The data areXneuroticism: 3.6, 1.5, 2.85, 2, 4.9Xcreativity: 32, 62, 123, 15, 4 A. Identify the appropriate statistical measure to use. B. Conduct the test. Make a decision about the null hypothesis, interpret your results and calculate effect size if applicable. At ?=.05,is the writer right about his hunch?
r = -0.579 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.)
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly less than 0.82. Your sample data produce the test statistic z = - 2.97 Find the p-value accurate to 4 decimal places.
Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported asy=20.41x+15.59y=20.41x+15.59and the r=0.272r=0.272.What proportion of the variation in y can be explained by the variation in the values of x?r² = %Report answer as a percentage accurate to one decimal place.
The correlation between hours of sleep and hours of study is r = 0.14. (a) Calculate r². (Round your answer to four decimal places.) ,2 = = (b) Choose a sentence that interprets value r². 1.96% of the variation in hours of sleep is not explained by hours of study. Variation in hours of study explains about 1.96% of the observed variation in hours of sleep. 1.96% of the variation in hours of sleep is not explained by the variation in hours of study. Hours of study explains about 1.96% of the observed variation in hours of sleep.
So I got A for question #19. How do you approach #21 and #22?
PLEASE HELP!!!
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.515, which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.

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