In Exercises 39-45, the correlation coefficient , r, is given for a sample of n data points. Use the α = 0.05 column in Table 12.19 on page 828 to determine whether or not we may conclude that a correlation does exist in the population. (Using the α = 0.05 column, there w a probability of 0.05 that the variables are not really correlated in the population and our results could be attributed to chance. Ignore this possibility when concluding whether or not there is a correlation in the population.) n = 27 , r = 0.4
In Exercises 39-45, the correlation coefficient , r, is given for a sample of n data points. Use the α = 0.05 column in Table 12.19 on page 828 to determine whether or not we may conclude that a correlation does exist in the population. (Using the α = 0.05 column, there w a probability of 0.05 that the variables are not really correlated in the population and our results could be attributed to chance. Ignore this possibility when concluding whether or not there is a correlation in the population.) n = 27 , r = 0.4
Solution Summary: The author explains that a correlation exists in the population and concludes that it exists.
In Exercises 39-45, the correlation coefficient, r, is given for a sample of n data points. Use the
α
=
0.05
column inTable 12.19on page 828 to determine whether or not we may conclude that a correlation does exist in the population. (Using the
α
=
0.05
column, there w a probability of 0.05 that the variables are not really correlated in the population and our results could be attributed to chance. Ignore this possibility when concluding whether or not there is a correlation in the population.)
n
=
27
,
r
=
0.4
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
Find the largest interval centered about x = 0 for which the given initial value problem has a unique solution.
y" + (tan x)y = ex, y(0) = 1, y'(0) = 0
The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010.
State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands)
Massachusetts 350 35,271 $12,644
New York 1,354 56,322 $85,558
Vermont 69 758 $10,969
Select the three true statements based on the data in the table.
A.
Vermont had the highest revenue per acre of state parks and recreational areas.
B.
Vermont had approximately 11 visitors per acre of state parks and recreational areas.
C.
New York had the highest number of visitors per acre of state parks and recreational areas.
D.
Massachusetts had approximately 36 visitors per acre of state parks and recreational areas.
E.
New York had revenue of approximately $63.19 per acre of state parks and recreational areas.
F.
Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.
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