Is there a relationship between funding for education and funding for health care? Below are recent data from a subset of U.S. states. State KS CA TX AZ NY FL CO MO IA Per pupil funding 55 74 44 +9 64 52 34 49 44 34 Health care funds per person 68 62 59 54 83 72 60 70 69 in hundreds a) Describe the scatterplot of these data. (2) b) Determine the nature of this relationship by calculating a Pearson correlation coefficient.(4) SP = SSx = " SSy = c) Find the least-squares regression equation for using education funding (x) to predict health care funding (ŷ).(2) Equation: ŷ = X+ d) List two sets of coordinates (x,y) that would enable you to draw the regression line on your scatterplot. (1) and Next ▸ 13

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Is there a relationship between funding for education and funding for health care? Below are recent data from a subset
of U.S. states.
State
KS
CA
TX
AZ
NY
FL
CO
MO
IA
Per pupil
funding
55
74
44
+9
64
52
34
49
44
34
Health
care funds
per person 68
62
59
54
83
72
60
70
69
in
hundreds
a) Describe the scatterplot of these data. (2)
b) Determine the nature of this relationship by calculating a Pearson correlation coefficient.(4)
SP =
SSx =
"
SSy =
c) Find the least-squares regression equation for using education funding (x) to predict health care funding (ŷ).(2)
Equation: ŷ =
X+
d) List two sets of coordinates (x,y) that would enable you to draw the regression line on your scatterplot. (1)
and
Next ▸
13
Transcribed Image Text:Is there a relationship between funding for education and funding for health care? Below are recent data from a subset of U.S. states. State KS CA TX AZ NY FL CO MO IA Per pupil funding 55 74 44 +9 64 52 34 49 44 34 Health care funds per person 68 62 59 54 83 72 60 70 69 in hundreds a) Describe the scatterplot of these data. (2) b) Determine the nature of this relationship by calculating a Pearson correlation coefficient.(4) SP = SSx = " SSy = c) Find the least-squares regression equation for using education funding (x) to predict health care funding (ŷ).(2) Equation: ŷ = X+ d) List two sets of coordinates (x,y) that would enable you to draw the regression line on your scatterplot. (1) and Next ▸ 13
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