What is the regression equation? Oy = 16.517x -0.003 Oŷ = 16.517 – 0.003z %3D Oy = 16.517 - 0.003r Oý = 16.517x - 0.003 The best description of the correlation is to describe it as strong linear correlation. strong negatíve correlation. strong positive correlation. O None of the above

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A researcher collects data on both lemon imports (x) and the crash fatality rate (y) in the USA. The seven
observations are randomly selected cities across the country,
Crash Fatality Rate
16
15.8
SUMMARY OUTPUT
15.6
15.4
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.939894457
15.2
0.88340159
0.860081907
15
Standard Error
0.125395887
Observations
14.8
100
200
300
400
500
600
ANOVA
df
MS
Significance F
Regression
Residual
0.595665072 0.595665 37.88223 0.001646686
5
0.078620642 0.015724
Total
6
0.674285714
Coefficients Standard Error t Stat
P-value
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept
16.51743501
0.18315002 90.18528 3.18E-09 16.04663289 16.988237 16.0466329 16.9882371
Lemon Imports
-0.002918088
0.000474112 -6.15485 0.001647 -0.00413683 -0.0016993 -0.0041368 -0.00169935
What is the regression equation?
Oy = 16.517x - 0.003
Oý = 16.517 - 0.003x
Oy = 16.517 – 0.003x
Oý = 16.517x-0.003
The best description of the correlation is to describe it as
strong linear correlation.
strong negatíve correlation.
strong positive correlation.
O None of the above
4acBook
Transcribed Image Text:A researcher collects data on both lemon imports (x) and the crash fatality rate (y) in the USA. The seven observations are randomly selected cities across the country, Crash Fatality Rate 16 15.8 SUMMARY OUTPUT 15.6 15.4 Regression Statistics Multiple R R Square Adjusted R Square 0.939894457 15.2 0.88340159 0.860081907 15 Standard Error 0.125395887 Observations 14.8 100 200 300 400 500 600 ANOVA df MS Significance F Regression Residual 0.595665072 0.595665 37.88223 0.001646686 5 0.078620642 0.015724 Total 6 0.674285714 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 16.51743501 0.18315002 90.18528 3.18E-09 16.04663289 16.988237 16.0466329 16.9882371 Lemon Imports -0.002918088 0.000474112 -6.15485 0.001647 -0.00413683 -0.0016993 -0.0041368 -0.00169935 What is the regression equation? Oy = 16.517x - 0.003 Oý = 16.517 - 0.003x Oy = 16.517 – 0.003x Oý = 16.517x-0.003 The best description of the correlation is to describe it as strong linear correlation. strong negatíve correlation. strong positive correlation. O None of the above 4acBook
D(1735..
(1690...
e aaron.
W Sign .
HB HALE...
V Clean.
elf My S..
Interpret the slope of the line.
For a 1 unit increase in lemon imports, the crash fatality rate will, on average, increase by 0.003 units.
For a 1 unit increase in lemon imports, the crash fatality rate will, on average, increase by 16.517 units.
O For a 1 unit increase in the crash fatality rate, lemon imports will, on average, increase by 0.003 units.
OFor a 1 unit increase in the crash fatality rate, lemon imports will, on average, increase by 16.517 units.
None of the above
Give a practical interpretation of the coefficient of determination.
O We can predict the crash fatality rate correctly 88.34% of the time using lemon imports in a least-
squares regression line.
93.99% of the differences in crash fatality rates are caused by differences in lemon imports.
O We can predict the crash fatality rate correctly 93.99% of the time using lemon imports in a least-
squares regression line.
O 93.99% of the sample variation in crash fatality rates can be explained by the least-squares regression
line.
88.34% of the differences in crash fatality rates are caused by differences in lemon imports.
O 88.34% of the sample variation in crash fatality rates can be explained by the least-squares regression
line.
Is it reasonable to use the regression equation to make a prediction for lemon imports of 200? Justify your
answer.
O No, the regression line does not fit the points reasonably well.
No, r does not indicate that there is a reasonable amount of correlation.
No, this prediction is far outside the scope of available data.
Yes, all of the criteria are met.
What can we say about the relationship between lemon imports and crash fatality rate?
Because of the strong relationship, lemon imports are a leading cause of crash fatality rate.
The is no relationship between lemon imports and crash fatality rate.
While lemon imports and crash fatality rate and strongly related, this relationship is likely due to some
third variable that affects them both.
Transcribed Image Text:D(1735.. (1690... e aaron. W Sign . HB HALE... V Clean. elf My S.. Interpret the slope of the line. For a 1 unit increase in lemon imports, the crash fatality rate will, on average, increase by 0.003 units. For a 1 unit increase in lemon imports, the crash fatality rate will, on average, increase by 16.517 units. O For a 1 unit increase in the crash fatality rate, lemon imports will, on average, increase by 0.003 units. OFor a 1 unit increase in the crash fatality rate, lemon imports will, on average, increase by 16.517 units. None of the above Give a practical interpretation of the coefficient of determination. O We can predict the crash fatality rate correctly 88.34% of the time using lemon imports in a least- squares regression line. 93.99% of the differences in crash fatality rates are caused by differences in lemon imports. O We can predict the crash fatality rate correctly 93.99% of the time using lemon imports in a least- squares regression line. O 93.99% of the sample variation in crash fatality rates can be explained by the least-squares regression line. 88.34% of the differences in crash fatality rates are caused by differences in lemon imports. O 88.34% of the sample variation in crash fatality rates can be explained by the least-squares regression line. Is it reasonable to use the regression equation to make a prediction for lemon imports of 200? Justify your answer. O No, the regression line does not fit the points reasonably well. No, r does not indicate that there is a reasonable amount of correlation. No, this prediction is far outside the scope of available data. Yes, all of the criteria are met. What can we say about the relationship between lemon imports and crash fatality rate? Because of the strong relationship, lemon imports are a leading cause of crash fatality rate. The is no relationship between lemon imports and crash fatality rate. While lemon imports and crash fatality rate and strongly related, this relationship is likely due to some third variable that affects them both.
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