Drug use 2013 The 2013 World Drug Report investi- gated the prevalence of drug use as a percentage of the population aged 15 to 64. Data from 32 European countries are shown in the following scatterplot and regression analysis. (Source: World Drug Report, 2013. www.unodc.org/unodc/en/data-and-analysis/ WDR-2013.html) 3.00 E 2.25+ 1.50 0.75 12 Cannabis (%) esponse variable is Cocaine -squared = 25.8% 0.7076 with 32 - 2 = 30 degrees of freedom ariable Coefficient SE(Coeff) t-Ratio P-Value tercept 0.296899 0.2627 1.13 0.2673 anabis 0.123638 0.0382 3.23 0.0030 ) Explain in context what the regression says. ) State the hypothesis about the slope (both numeri- cally and in words) that describes how use of cannabis (marijuana) is associated with other drugs. ) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion in context. ) Explain what R-squared means in context. ) Do these results indicate that marijuana use leads to the use of harder drugs? Explain. Cocaine (%)

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22. Drug use 2013 The 2013 World Drug Report investi-
gated the prevalence of drug use as a percentage of the
population aged 15 to 64. Data from 32 European
countries are shown in the following scatterplot and
regression analysis. (Source: World Drug Report,
2013. www.unodc.org/unodc/en/data-and-analysis/
WDR-2013.html)
3.00
E 2.25
1.50
0.75
12
Cannabis (%)
Response variable is Cocaine
R-squared = 25.8%
s - 0.7076 with 32 - 2 = 30 degrees of freedom
Variable
Coefficient SE(Coeff) -Ratio
P-Value
Intercept
0.296899
0.2627
1.13
0.2673
Canabis
0.123638
0.0382
3.23
0.0030
a) Explain in context what the regression says.
b) State the hypothesis about the slope (both numeri-
cally and in words) that describes how use of
cannabis (marijuana) is associated with other drugs.
c) Assuming that the assumptions for inference are
satisfied, perform the hypothesis test and state your
conclusion in context.
d) Explain what R-squared means in context.
e) Do these results indicate that marijuana use leads to
the use of harder drugs? Explain.
Cocaine (%)
Transcribed Image Text:22. Drug use 2013 The 2013 World Drug Report investi- gated the prevalence of drug use as a percentage of the population aged 15 to 64. Data from 32 European countries are shown in the following scatterplot and regression analysis. (Source: World Drug Report, 2013. www.unodc.org/unodc/en/data-and-analysis/ WDR-2013.html) 3.00 E 2.25 1.50 0.75 12 Cannabis (%) Response variable is Cocaine R-squared = 25.8% s - 0.7076 with 32 - 2 = 30 degrees of freedom Variable Coefficient SE(Coeff) -Ratio P-Value Intercept 0.296899 0.2627 1.13 0.2673 Canabis 0.123638 0.0382 3.23 0.0030 a) Explain in context what the regression says. b) State the hypothesis about the slope (both numeri- cally and in words) that describes how use of cannabis (marijuana) is associated with other drugs. c) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion in context. d) Explain what R-squared means in context. e) Do these results indicate that marijuana use leads to the use of harder drugs? Explain. Cocaine (%)
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