Percentage of US households with one or more guns for imple of years. % of US Households YEAR with one or more guns 2000 39 2018 43 2013 37 2004 38 1990 47 2021 1980 45 2. Use technology to find an equation for the line of best fit (regression line) for the SAMPLE data. Round the y- intercept value to the nearest whole number and the slope to the nearest hundredth. 3. What is the correlation coefficient for this line and what does it tell you? 4. Use the regression equation to predict the percentage of US households with guns in 1995 (rounded to the nearest whole percent) or explain why this is notappropriate. 42

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cours/191939/quizzes/14/221/take
Percentage of US households with
one or more guns for imple of
years.
% of US Households
YEAR
with one or more guns
39
1990
2021
1980
45
2. Use technology to find an equation for the line of best fit (regression line) for the SAMPLE data. Round the y-
intercept value to the nearest whole number and the slope to the nearest hundredth.
3. What is the correlation coefficient for this line and what does it tell you?
4. Use the regression equation to predict the percentage of US households with guns in 1995 (rounded to the
nearest whole percent) or explain why this is notappropriate.
5. Use the regression equation to predict the percentage of US households with guns in 2030 (rounded to the
nearest whole percent) or explain why this is not appropriate.
Now use the SAMPLE data to test the hypothesis that the percentage of all US households that own guns is
decreasing. Use a 5% level of significance:
6. State the Null and Alternative hypotheses and the distribution to be used.
7. Use technology to find the test statistic and the p-value.
8. Sketch the distribution, indicating these values.
9. What do the test statistic and/or the p-value tell you to do with the null hypothesis, and why?
10. State your conclusion in a complete, correct English sentence.
BONUS: Use technology to construct a 90% confidence interval for 3, the slope of the regression line. Why does
your result confirm the conclusion of your hypothesis test?
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2004
#
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38
47
42
3
W E
$
IOI
4
R
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5
f6
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Transcribed Image Text:cours/191939/quizzes/14/221/take Percentage of US households with one or more guns for imple of years. % of US Households YEAR with one or more guns 39 1990 2021 1980 45 2. Use technology to find an equation for the line of best fit (regression line) for the SAMPLE data. Round the y- intercept value to the nearest whole number and the slope to the nearest hundredth. 3. What is the correlation coefficient for this line and what does it tell you? 4. Use the regression equation to predict the percentage of US households with guns in 1995 (rounded to the nearest whole percent) or explain why this is notappropriate. 5. Use the regression equation to predict the percentage of US households with guns in 2030 (rounded to the nearest whole percent) or explain why this is not appropriate. Now use the SAMPLE data to test the hypothesis that the percentage of all US households that own guns is decreasing. Use a 5% level of significance: 6. State the Null and Alternative hypotheses and the distribution to be used. 7. Use technology to find the test statistic and the p-value. 8. Sketch the distribution, indicating these values. 9. What do the test statistic and/or the p-value tell you to do with the null hypothesis, and why? 10. State your conclusion in a complete, correct English sentence. BONUS: Use technology to construct a 90% confidence interval for 3, the slope of the regression line. Why does your result confirm the conclusion of your hypothesis test? O a f3 f4 f5 f10 fg 9 5 arces @2 f2 * 2000 2018 2013 2004 # 43 37 38 47 42 3 W E $ IOI 4 R % 5 f6 T ^ 6 op f7 & Y 7 f8 * D 8 3 f12 F
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