Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.3, Problem 33BB
To determine
To explain: The reason that the test of the null hypothesis
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A researcher recorded the number of e-mails received in a month and the number of online purchases made during that month for 50 people with an online presence. The resulting data were used to conduct a hypothesis test to investigate whether the slope of the population regression line relating number of e-mails received to number of online purchases is positive. What are the correct hypotheses for the test?
H0:β1=0Ha:β1≠0H0:β1=0Ha:β1≠0
A
H0:β1=0Ha:β1>0H0:β1=0Ha:β1>0
B
H0:β1=0Ha:β1<0H0:β1=0Ha:β1<0
C
H0:β1>0Ha:β1=0H0:β1>0Ha:β1=0
D
H0:b1=0Ha:b1≠0
E
Which of these options are true?
A regression was run to determine if there is a relationship between the happiness index (y) and life
expectancy in years of a given country (x).
The results of the regression were:
ý=a+bx
a=-1.692
b=0.117
(a) Write the equation of the Least Squares Regression line of the form
(b) Which is a possible value for the correlation coefficient, r?
O -0.649
O 1.32
O 0.649
O-1.32
(c) If a country increases its life expectancy, the happiness index will
O increase
O decrease
(d) If the life expectancy is increased by 2.5 years in a certain country, how much will the happiness
index change? Round to two decimal places.
(e) Use the regression line to predict the happiness index of a country with a life expectancy of 75
years. Round to two decimal places.
Chapter 10 Solutions
Elementary Statistics
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