aper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six coun per. Sugar Consumption Depression Country Rate Korea 160 2.4 United States 290 3.1 France 360 4.3 Germany 365 4.9 Canada 380 5.3 New Zealand 470 5.6 A USE SALT ) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.) r = 0.9428 Interpret the correlation coefficient for this data set. O There is a weak, positive linear relationship between depression rate and sugar consumption. O There is no linear relationship between depression rate and sugar consumption. O There is a strong, negative linear relationship between depression rate and sugar consumption. O There is a weak, negative linear relationship between depression rate and sugar consumption. O There is a strong, positive linear relationship between depression rate and sugar consumption. ) Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain. Yes. Even though this was an observational study, a very high correlation coefficient still implies that conclusions relating to causation may be drawn. Yes. This was an observational study, so conclusions relating to causation may be drawn. No. This was a designed experiment, so no conclusion relating to causation may be drawn. Yes. This was a designed experiment, so conclusions relating to causation may be drawn. O No. This was an observational study, so no conclusion relating to causation may be drawn. ) Do you have any concerns about this study that would make you hesitant to generalize these conclusions to other countries? O No. The set of countries does not seem to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general. Yes. The set of countries seems to be a representative sample from the set of all countries, so we cannot generalize the conclusions to countries in general. O No. The set of countries seems to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general. O Yes. The set of countries does not seem to be a representative sample from the set of all countries, so we cannot generalize the concluusions to countries in general.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the
раper.
Sugar
Consumption
Depression
Rate
Country
Korea
160
2.4
United States
290
3.1
France
360
4.3
Germany
365
4.9
Canada
380
5.3
New Zealand
470
5.6
n USE SALT
(a) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.)
r = 0.9428
Interpret the correlation coefficient for this data set.
O There is a weak, positive linear relationship between depression rate and sugar consumption.
O There is no linear relationship between depression rate and sugar consumption.
O There is a strong, negative linear relationship between depression rate and sugar consumption.
O There is a weak, negative linear relationship between depression rate and sugar consumption.
O There is a strong, positive linear relationship between depression rate and sugar consumption.
(b) Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain.
O Yes. Even though this was an observational study, a very high correlation coefficient still implies that conclusions relating to causation may be drawn.
O Yes. This was an observational study, so conclusions relating to causation may be drawn.
O No. This was a designed experiment, so no conclusion relating to causation may be drawn.
O Yes. This was a designed experiment, so conclusions relating to causation may be drawn.
O No. This was an observational study, so no conclusion relating to causation may be drawn.
(c) Do you have any concerns about this study that would make you hesitant to generalize these conclusions to other countries?
O No. The set of countries does not seem to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general.
O Yes. The set of countries seems to be a representative sample from the set of all countries, so we cannot generalize the conclusions to countries in general.
O No. The set of countries seems to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general.
O Yes. The set of countries does not seem to be a representative sample from the set of all countries, so we cannot generalize the conclusions to countries in general.
Transcribed Image Text:A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the раper. Sugar Consumption Depression Rate Country Korea 160 2.4 United States 290 3.1 France 360 4.3 Germany 365 4.9 Canada 380 5.3 New Zealand 470 5.6 n USE SALT (a) Calculate the correlation coefficient for this data set. (Round your answer to four decimal places.) r = 0.9428 Interpret the correlation coefficient for this data set. O There is a weak, positive linear relationship between depression rate and sugar consumption. O There is no linear relationship between depression rate and sugar consumption. O There is a strong, negative linear relationship between depression rate and sugar consumption. O There is a weak, negative linear relationship between depression rate and sugar consumption. O There is a strong, positive linear relationship between depression rate and sugar consumption. (b) Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain. O Yes. Even though this was an observational study, a very high correlation coefficient still implies that conclusions relating to causation may be drawn. O Yes. This was an observational study, so conclusions relating to causation may be drawn. O No. This was a designed experiment, so no conclusion relating to causation may be drawn. O Yes. This was a designed experiment, so conclusions relating to causation may be drawn. O No. This was an observational study, so no conclusion relating to causation may be drawn. (c) Do you have any concerns about this study that would make you hesitant to generalize these conclusions to other countries? O No. The set of countries does not seem to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general. O Yes. The set of countries seems to be a representative sample from the set of all countries, so we cannot generalize the conclusions to countries in general. O No. The set of countries seems to be a representative sample from the set of all countries, so we can generalize the conclusions to countries in general. O Yes. The set of countries does not seem to be a representative sample from the set of all countries, so we cannot generalize the conclusions to countries in general.
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