Determine true or false? a) If the median of X is greater than the mean of X than the distribution of X ispositively skewed. b) For Normal populations the median and the mean are approximately equal. c) The median and the Inter-quartile range are measures of variability in apopulation. d) The correlation between two positive quantities is always positive. e) If the correlation between X and Y is negative than the slope of the regressionline for predicting Y from X is negative. f) Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficient.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
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Determine true or false?

a) If the median of X is greater than the mean of X than the distribution of X ispositively skewed.

b) For Normal populations the median and the mean are approximately equal.

c) The median and the Inter-quartile range are measures of variability in apopulation.

d) The correlation between two positive quantities is always positive.

e) If the correlation between X and Y is negative than the slope of the regressionline for predicting Y from X is negative.

f) Pearsons correlation coefficient is always between -1 and +1. This is notnecessarily true for Spearmans correlation coefficient.

VI. In the following example the researcher was interested in how the application of a
fertilizer affected the height of sunflower plants. The fertilizer was applied to one
test plot and the height of n= 20 sunflower plants in that test plot were measured
201.6 235.6
212.7
222.1
220.9
225.4
205.5
219.2
220.3
216.8
239.5
206.2
213.3
207.2
198.4 224.2
248.0
226.4
231.9
211.5
Er² = 965341.25
Σ 4386.7
In addition no fertilizer was applied to a second test plot and the height of m = 15
sunflower plants in that test plot were measured.
144.7
149.5
128.2
126.3
154.3
144.7
131.9
138.6
113.6
102.7
101.6
156.9
119.3
141.2
151.2
Ey = 2004.7
Ey² = 272453.21
Transcribed Image Text:VI. In the following example the researcher was interested in how the application of a fertilizer affected the height of sunflower plants. The fertilizer was applied to one test plot and the height of n= 20 sunflower plants in that test plot were measured 201.6 235.6 212.7 222.1 220.9 225.4 205.5 219.2 220.3 216.8 239.5 206.2 213.3 207.2 198.4 224.2 248.0 226.4 231.9 211.5 Er² = 965341.25 Σ 4386.7 In addition no fertilizer was applied to a second test plot and the height of m = 15 sunflower plants in that test plot were measured. 144.7 149.5 128.2 126.3 154.3 144.7 131.9 138.6 113.6 102.7 101.6 156.9 119.3 141.2 151.2 Ey = 2004.7 Ey² = 272453.21
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