What is the proportion of variance shared between the 2 variables? (How much of the variance in one variable can be predicted by the variance in the other variable?)Provided : mean 1 = 13.6 SD 1 = 2.26Mean 2 = 102.7, SD= 11.36Coefficient r = 0.47 1234ASubject ID56789101112131415161718192021DO222312345LO6700891011121314151617181920Beducation1413121416121512101418121216181410121513Cmemory1121179811411089941068610711384102901198697106114110 (Round calculated results to the hundredth (2nd place to the right of the decimal) when result extendsbeyond that unless otherwise noted).The data set for this question set (Tab Q1 in the Excel data file) comes from a research project thattracks the elderly residents in a community to monitor their cognitive function and general health.Based on the literature, education is considered a protective factor against dementia, and memorydecline is usually the first sign of dementia. So, the researchers would like to know whether educationlevel (measured in number of years of formal schooling) is correlated with memory function (astandardized memory test score) in their sample of elderly residents.Q1a. Create a scatter plot between the two variabloc ucin

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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section: Chapter Questions

Problem 11MS

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What is the proportion of variance shared between the 2 variables? (How much of the variance in one variable can be predicted by the variance in the other variable?) Provided : mean 1 = 13.6 SD 1 = 2.26 Mean 2 = 102.7, SD= 11.36 Coefficient r = 0.47

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DO
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1
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LO
6
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00
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education
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102
90
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(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends
beyond that unless otherwise noted).
The data set for this question set (Tab Q1 in the Excel data file) comes from a research project that
tracks the elderly residents in a community to monitor their cognitive function and general health.
Based on the literature, education is considered a protective factor against dementia, and memory
decline is usually the first sign of dementia. So, the researchers would like to know whether education
level (measured in number of years of formal schooling) is correlated with memory function (a
standardized memory test score) in their sample of elderly residents.
Q1a. Create a scatter plot between the two variabloc ucin

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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