Question #2: The number of murders and robberies per 100,000 population for a random selection of states is shown. Murders 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies 25.3 14.3 151.6 91.1 80 49 173 95.8 1. Is there a relationship between "murders" and "robberies"? (Interpretation-Strength & Direction) nExy - (Ex)(Ey) /nEx² – (Ex)² /nEy² - (Ey)² r = 2. Is the relationship significant at a = 0.05? (Interpretation) п - 2 t = r 1- r2 3. Predict ŷ, given x = 12 (Interpretation & Linear Plot) ΣΥΣx-Σx Σw ηΣx2 -Σ x)? ηΣ xy-Σ x) (Σ) nEx² – (Ex)² a = (intercept) ŷ = a + bx b = (slope)
Question #2: The number of murders and robberies per 100,000 population for a random selection of states is shown. Murders 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies 25.3 14.3 151.6 91.1 80 49 173 95.8 1. Is there a relationship between "murders" and "robberies"? (Interpretation-Strength & Direction) nExy - (Ex)(Ey) /nEx² – (Ex)² /nEy² - (Ey)² r = 2. Is the relationship significant at a = 0.05? (Interpretation) п - 2 t = r 1- r2 3. Predict ŷ, given x = 12 (Interpretation & Linear Plot) ΣΥΣx-Σx Σw ηΣx2 -Σ x)? ηΣ xy-Σ x) (Σ) nEx² – (Ex)² a = (intercept) ŷ = a + bx b = (slope)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text:Question #2: The number of murders and robberies per 100,000 population for a random
selection of states is shown.
Murders
2.4
2.7
5.6
2.6
2.1 3.3
6.6
5.7
Robberies 25.3
14.3 151.6 91.1
80
49
173 95.8
1. Is there a relationship between "murders" and "robberies"? (Interpretation-Strength
& Direction)
nExy – (Ex)(Ey)
n£x² – (Ex)² /nE y² – (Ey)²
r =
V
2. Is the relationship significant at a = 0.05? (Interpretation)
п - 2
t = r
r2
3. Predict ŷ, given x = 12 (Interpretation & Linear Plot)
ΣΥΣx?-ΣxΣ x
ηΣx? -(Σ x)2
ηΣxy-Σ x) (Σ)
(intercept)
a =
ŷ = a + bx
b =
(slope)
nEx?
(Ex)²
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