What is your independent variable, X, in this problem ? What is your dependent v
ID: 3289576 • Letter: W
Question
What is your independent variable, X, in this problem?
What is your dependent variable, Y, in this problem?
What is the Line of regression for this problem?
What is the slope? Explain what it means in the context of this problem.
What is the y intercept? Explain what it means in the context of this problem.
What is R squared? And what does this number mean in the context of the problem?
Conduct a hypothesis test on the slope and discuss your findings. Make sure to state your null and alternative hypothesis and show your test statistic, you should use the numbers from the Excel output. Use a .05 level of significance. Give a statistical conclusion in the context of this problem.
If a city has 5 percent of its licensed drivers under the age of 21, what would be the predicted number of fatal accidents per 1000 licenses? Show how you calculated this.
PercentUnder 21 Fatal Accidents
per 1000 13 2.962 12 0.708 8 0.885 12 1.652 11 2.091 17 2.627 18 3.83 8 0.368 13 1.142 8 0.645 9 1.028 16 2.801 12 1.405 9 1.433 10 0.039 9 0.338 11 1.849 12 2.246 14 2.855 14 2.352 11 1.294 17 4.1 8 2.19 16 3.623 15 2.623 9 0.835 8 0.82 14 2.89 8 1.267 15 3.224 10 1.014 10 0.493 14 1.443 18 3.614 10 1.926 14 1.643 16 2.943 12 1.913 15 2.814 13 2.634 9 0.926 17 3.256
Explanation / Answer
What is your independent variable, X, in this problem?
Answer : Independent Variable X is here the percent of people under 21.
What is your dependent variable, Y, in this problem?
Answer : Here dependnet variable, Y is Fatal accidents per 1000
What is the Line of regression for this problem?
First, i put the regression output here which will provide the solution here.
so, Line of regression
Fatal accidents per 1000 = -1.5974 + 0.287 * percent under 21
What is the slope? Explain what it means in the context of this problem.
Here slope is 0.287 that means if we increase 1 unit in percent under 21 then it wil increase 0.287 unit in fatal accidents per 1000.
What is the y intercept? Explain what it means in the context of this problem.
Y intercept is here = -1.59 that means if there are 0 percent less than 21 then there will -1.59 fatal accidents per 1000 that means zero.
What is R squared? And what does this number mean in the context of the problem?
R squared here = 0.7046 and it means that 70.46% part could be explianed by the less than 21 population and rest are from some other factors.
Conduct a hypothesis test on the slope and discuss your findings. Make sure to state your null and alternative hypothesis and show your test statistic, you should use the numbers from the Excel output. Use a .05 level of significance. Give a statistical conclusion in the context of this problem.
Answer : H0 : B = 0
Ha : B > 0
where B is the slope.
here standard error = 0.02939
and t = 0.2871/ 0.02939 = 9.77
so p - valaue = 0.0000 < 0.05 so here slope is significant here.
If a city has 5 percent of its licensed drivers under the age of 21, what would be the predicted number of fatal accidents per 1000 licenses? Show how you calculated this.
Answer : By using , regression equation
Fatal accidents per 1000 = -1.5974 + 0.287 * percent under 21
Fatal accidents per 1000 = -1.5974 + 0.287 * 5 = - 0.1624
that means the fatal accidents will be nearly 0.
SUMMARY OUTPUT Regression Statistics Multiple R 0.839387 R Square 0.704571 Adjusted R Square 0.697186 Standard Error 0.58935 Observations 42 ANOVA df SS MS F Significance F Regression 1 33.13442 33.13442 95.39648 3.79E-12 Residual 40 13.89335 0.347334 Total 41 47.02777 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -1.59741 0.371671 -4.29792 0.000107 -2.34859 -0.84624 -2.34859 -0.84624 Percent under 21 0.287053 0.02939 9.767112 3.79E-12 0.227654 0.346452 0.227654 0.346452Related Questions
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