3:02AAwww-awn.aleks.comO REGRESSION AND CORRELATIONComputing the sample correlation coefficient and the coefficien.In ongoing economic analyses, the federal government compares percapita incomes not only among different states but also for the samestate at different times. Typically, what the federal government finds isthat "poor" states tend to stay poor and "wealthy" states tend to staywealthy.Would we have gotten information about the 1999 per capita income for astate (denoted by y) from its 1980 per capita income (denoted by x)? The Ofollowing bivariate data give the per capita income (in thousands ofdollars) for a sample of fourteen states in the years 1980 and 1999 (source!U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000).The data are plotted in the scatter plot in Figure 1. Also given are theproducts of the 1980 per capita incomes and 1999 per capita incomes foreach of the fourteen states. (These products, written in the columnlabelled "xy," may aid in calculations.)1980 per capita 1999 per capitaincome, xincome, yху(in S1000s)(in $1000s)MichiganAlabama10.427.8289.1238-7.922.9180.91Rhode Island9.729.7288.0934-Pennsylvania10.228.7292.7432Texas10.026.526530.ICalifornia12.029.8357.625.Minnesota10.330.6315.1826New YorkNew Mexico11.133.9376.29248.422.1185.6422Kentucky8.223.2190.2420New Jersey11.836.1425.98Nebraska9.327.4254.82North Carolina8.226.2214.84Figure 1Kansas10.026.6266Send data to ExcelAnswer the following. Carry your intermediate computations to at leastfour decimal places, and round your answer as specified below. (Ifnecessary, consult a list of formulas.)What is the value of the sample.correlation.coefficientfor these data? Round your answer to at least threedecimal places.ExplanationCheckO 2021 McGraw-Hil Education. A Rights Reserved. Terms of Use

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given data x y xy 10.4 27.8 289.12 7.9 22.9 180.91 9.7 29.7 288.09 10.2 28.7 292.74…

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1980 per capita 1999 per capita income, x income, y xy (in $1000s) (in $1000s) ichigan Alabama 10.4 27.8 289.12 7.9 22.9 180.91 Rhode Island 9.7 29.7 288.09 Pennsylvania Texas California Minnesota 10.2 28.7 292.74 10.0 26.5 265 12.0 29.8 357.6 10.3 30.6 315.18 New York 11.1 33.9 376.29 New Mexico 8.4 22.1 185.64 8.2 23.2 Kentucky New Jersey 190.24 11.8 36.1 425.98 4. Nebraska 9.3 27.4 254.82 North Carolina 8.2 26.2 214.84 Figure 1 cansas 10.0 26.6 266 Send data to Excel

1980 per capita 1999 per capita income, x income, y xy (in $1000s) (in $1000s) ichigan Alabama 10.4 27.8 289.12 7.9 22.9 180.91 Rhode Island 9.7 29.7 288.09 Pennsylvania Texas California Minnesota 10.2 28.7 292.74 10.0 26.5 265 12.0 29.8 357.6 10.3 30.6 315.18 New York 11.1 33.9 376.29 New Mexico 8.4 22.1 185.64 8.2 23.2 Kentucky New Jersey 190.24 11.8 36.1 425.98 4. Nebraska 9.3 27.4 254.82 North Carolina 8.2 26.2 214.84 Figure 1 cansas 10.0 26.6 266 Send data to Excel

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section4.5: Analyzing Lines Of Fit

Problem 25E

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12 young batsmen practiced batting at the nets for varying periods of time, and their dot ball percentage was calculated at the end of the month: Practice time per month (in hr) 43 30 55 12 28 37 41 48 34 18 24 62 Dot ball percentage 18 29 15 54 43 24 22 16 34 56 47 13 a) Find the relationship between dot ball percentage and practice time per month using a scatter diagram and interpret. b) Find correlation coefficient and comment. c) Fit a least square regression equation (line) of dot ball percentage on practice time per month and comment. d) What will be the dot ball percentage when practice time per month is 32hr? e) Comment on the regression equation and explore how well it fits.