Question2The following data relate to the percentageunemployment and percentage change in wagesover several years.% Unemployment(x)% Change in wages(y)1.65.03.22.72.22.31.71.62.14.12.12.72.62.91.74.63.54.41.51.6(a) Calculate the product-moment correlationcoefficient between x and y.(Use Ex = 18.9, Ey = 35.2, Ex? = 37.01,Ey? = 132.22, Exy = 64.7)

Given : % Unemployment (x) % Change in wages (y) 1.6 5 2.2 3.2 2.3 2.7 1.7 2.1 1.6 4.1…

Answered: The following data relate to the…

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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In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSxx = 1303.9 SSy= 1503.0 SSy = 2660.2 Ex = 150 .1 Ey = 915 n= 16 %3D %3D 1sxs 34 36.7 s y s 90.5 Calculate the linear correlation coefficient for percent employment in STEM and annual compensation and enter your answer below accurate to two decimal places.
number 28 The following data shows the price of a certain stock over the last 8 months. Month Price 1 2.10 2 1.98 3 2.01 4 1.89 5 1.90 6 1.89 7 1.72 8 1.65 (a) Develop a scatter diagram and draw a trend line through the points. A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right becoming more steep from (1, 1.7) to (8, 1.25). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter diagram has 8 points. A line goes through the center of the pattern of points. A pattern goes down and right from (1, 2.1) to (8, 1.65). A graph has a horizontal axis labeled "Month" with values from 0 to 10 and a vertical axis labeled "Price" with values from 0 to 2.5. The scatter…
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSx = 1303.9 SSsy= 1503.0 SSy = 2660.2 Ey = 915 n= 16 %3D Ex = 150 .1 1sx<34 36.7 s y < 90.5 Predict the mean annual compensation in industries in which 30 percent of the workforce are in a Stem field. You answer should be entered in thousands of dollars. Example: If you calculate y-hat as 40.6 then the answer you enter should be 40,600
Find the best-fit line for Year Close Price, y, at x years since 2005; Calculate the value of the Correlation Coefficient for Year Close Price, y, at x years since 2005; and Use your best-fit line to predict the Year Close Price of the S&P 500 in 2021. Year Year Open ($) Year Close ($) Annual Percent Change 2005 1202.08 1248.29 3.844170105 2006 1268.08 1418.3 11.84625576 2007 1416.6 1468.36 3.653819003 2008 1447.16 903.25 -37.58464855 2009 931.8 1115.1 19.67160335 2010 1132.99 1257.64 11.00186233 2011 1271.87 1257.6 -1.121970013 2012 1277.06 1426.19 11.67760324 2013 1462.42 1848.36 26.39050341 2014 1831.98 2058.9 12.38659811 2015 2058.2 2043.94 -0.692838402 2016 2012.66 2238.83 11.23736746 2017 2257.83 2673.61 18.41502682 2018 2695.81 2506.85 -7.009396063 2019 2510.03 3230.78 28.71479624 2020 3257.85 3756.07 15.2929079
• What is the linear correlation coefficient of the data shown in the scatterplot below? (A) r = -0.99 (B) r = 0.99 (C) r=-0.73 (D) r=0.73
x y 59.9 72.8 61.4 128.8 33.2 7.2 41.4 -111.7 61.9 160.4 50.3 130.4 47.4 -65.7 43.2 -37.7 48.2 190.5 32.2 -72.1 Find the correlation coefficient and report it accurate to three decimal places. r = CorrectWhat proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.R² = %
y: 30 -10 50 10 1 25 -15-60 15 8 35 20-5 7. 10 9. -40 -5 X: 9. 3 4 6. 0.05. Test for significant positive (linear) correlation at a =
A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded. a. Give a list of the residual values b. Look at the residual plot. Comment on what the residual plot tells you about the data . c. If appropriate , test the correlation using an alpha level of 0.05 . (Show all 6 steps!!!!)

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