Regression Statistics Multiple R 0.874642413 R Square 0.764999351 Adjusted R Square 0.744564512 Standard Error 62.97881926 Observations 51 ANOVA df MS Significance F Regression 4 593934.928 148483.732 37.43603514 6.36772E-14 Residual 46 182451.2571 3966.331676 Total 50 776386.1851 Coefficients Standard Error Upper 95% t Stat P-value Lower 95% Intercept 240.8002285 51.13392961 4.709206398 2.31605E-05 137.8729666 343.7274903 VEHICLE 3.042782981 1.582326221 1.922980824 0.06068593 -0.142274506 6.227840468 DIABETES 11.24212265 1.659066489 6.776173665 1.97533E-08 7.902595017 14.58165028 FLU 12.32304584 2.057012215 5.990749957 2.9897E-07 8. 182495007 16.46359668 HOMICIDE 1.362128456 2.113562817 0.644470297 0.522471501 -2.892252837 5.616509749

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 34RE: Draw a scatter plot for the data in Table 2. Then determine whether the data appears to belinearly...
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The US government is interested in understanding what predicts death rates.  They have a set of data that includes the number of deaths in each state, the number of deaths resulting from vehicle accidents (VEHICLE), the number of people dying from diabetes (DIABETES), the number of deaths related to the flu (FLU) and the number of homicide deaths (HOMICIDE).  Your run a regression to predict deaths and get the following output:

If the fitted regression is Y = 3.5 + 2.1X (R2 = .25, n = 25), it is incorrect to conclude that
A. Y increases 2.1 percent for a 1 percent increase in X.
B. the estimated regression line crosses the Y axis at 3.5
C. the sample correlation coefficient must be positive
D. the value of the sample correlation coefficient is 0.50

 

Regression Statistics
Multiple R
0.874642413
R Square
0.764999351
Adjusted R Square
0.744564512
Standard Error
62.97881926
Observations
51
ANOVA
df
MS
Significance F
Regression
4
593934.928
148483.732
37.43603514
6.36772E-14
Residual
46
182451.2571
3966.331676
Total
50 776386.1851
Coefficients Standard Error
Upper 95%
t Stat
P-value
Lower 95%
Intercept
240.8002285
51.13392961
4.709206398
2.31605E-05
137.8729666
343.7274903
VEHICLE
3.042782981
1.582326221
1.922980824
0.06068593
-0.142274506
6.227840468
DIABETES
11.24212265
1.659066489
6.776173665
1.97533E-08
7.902595017
14.58165028
FLU
12.32304584
2.057012215
5.990749957
2.9897E-07
8. 182495007
16.46359668
HOMICIDE
1.362128456
2.113562817
0.644470297
0.522471501
-2.892252837
5.616509749
Transcribed Image Text:Regression Statistics Multiple R 0.874642413 R Square 0.764999351 Adjusted R Square 0.744564512 Standard Error 62.97881926 Observations 51 ANOVA df MS Significance F Regression 4 593934.928 148483.732 37.43603514 6.36772E-14 Residual 46 182451.2571 3966.331676 Total 50 776386.1851 Coefficients Standard Error Upper 95% t Stat P-value Lower 95% Intercept 240.8002285 51.13392961 4.709206398 2.31605E-05 137.8729666 343.7274903 VEHICLE 3.042782981 1.582326221 1.922980824 0.06068593 -0.142274506 6.227840468 DIABETES 11.24212265 1.659066489 6.776173665 1.97533E-08 7.902595017 14.58165028 FLU 12.32304584 2.057012215 5.990749957 2.9897E-07 8. 182495007 16.46359668 HOMICIDE 1.362128456 2.113562817 0.644470297 0.522471501 -2.892252837 5.616509749
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