An efficiency expert wants to determine whether the time an assembly worker requires to perform a standard task might be related to (1) the number of years on the job and (2) the score on a pre- employment aptitude test. Please analyze the regression below and answer the following questions: A E F G 16 SUMMARY OUTPUT Regression Statistics 0.7341 17 18 Multiple R 19 R Square 20 Adjusted R Square 21 Standard Error 22 Observations 0.5389 0.4467 2.8624 13 23 24 ANOVA Significance F 0.021 25 df SS MS 26 Regression 27 Residual 28 Total 95.757 47.879 5.843 81.935 177.692 10 8.194 12 29 t Stat 6.2217 Upper 95% 141.045 30 Coefficients 103.8529 Standard Error P-value Lower 95% 66.661 31 Intercept 32 Years 33 Score 16.6919 0.000 -0.2884 0.3216 -0.8966 0.391 0.012 -1.005 0.428 -0.6792 0.2218 -3.0623 -1.173 -0.185 а). Identify and interpret bo, bi, and b2. bo = Interpretation: bi = Interpretation: b2 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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An efficiency expert wants to determine whether the time an assembly worker requires to perform a
standard task might be related to (1) the number of years on the job and (2) the score on a pre-
employment aptitude test. Please analyze the regression below and answer the following questions:
A
В
E
F
G
16 SUMMARY OUTPUT
Regression Statistics
17
18 Multiple R
19 R Square
20 Adjusted R Square
21 Standard Error
22 Observations
0.7341
0.5389
0.4467
2.8624
13
23
24 ANOVA
25
df
SS
MS
F
Significance F
26 Regression
27 Residual
28 Total
2
95.757
47.879
5.843
0.021
10
81.935
8.194
12
177.692
29
Coefficients
103.8529
Upper 95%
141.045
30
Standard Error
t Stat
P-value
Lower 95%
66.661
31 Intercept
32 Years
33 Score
16.6919
6.2217
0.000
-0.8966
-3.0623
0.391
0.428
-0.185
-0.2884
0.3216
-1.005
-0.6792
0.2218
0.012
-1.173
а).
Identify and interpret bo, bi, and b2.
bọ :
Interpretation:
bị
Interpretation:
b2 :
Transcribed Image Text:An efficiency expert wants to determine whether the time an assembly worker requires to perform a standard task might be related to (1) the number of years on the job and (2) the score on a pre- employment aptitude test. Please analyze the regression below and answer the following questions: A В E F G 16 SUMMARY OUTPUT Regression Statistics 17 18 Multiple R 19 R Square 20 Adjusted R Square 21 Standard Error 22 Observations 0.7341 0.5389 0.4467 2.8624 13 23 24 ANOVA 25 df SS MS F Significance F 26 Regression 27 Residual 28 Total 2 95.757 47.879 5.843 0.021 10 81.935 8.194 12 177.692 29 Coefficients 103.8529 Upper 95% 141.045 30 Standard Error t Stat P-value Lower 95% 66.661 31 Intercept 32 Years 33 Score 16.6919 6.2217 0.000 -0.8966 -3.0623 0.391 0.428 -0.185 -0.2884 0.3216 -1.005 -0.6792 0.2218 0.012 -1.173 а). Identify and interpret bo, bi, and b2. bọ : Interpretation: bị Interpretation: b2 :
Interpretation:
Identify the coefficient of multiple determination, R².
b).
Interpret the value.
с).
Predict the time an assembly worker performs a task based on 5 years on the job
and a score of 240 on the pre-employment aptitude test.
d).
For an assembly worker who performs a task with 5 years of experience and a
score of 240 on the aptitude test from above, what is the approximate 95% confidence interval for
their average time performing a task? Please explain the significance of this confidence interval in
explaining for time required to perform a task.
Transcribed Image Text:Interpretation: Identify the coefficient of multiple determination, R². b). Interpret the value. с). Predict the time an assembly worker performs a task based on 5 years on the job and a score of 240 on the pre-employment aptitude test. d). For an assembly worker who performs a task with 5 years of experience and a score of 240 on the aptitude test from above, what is the approximate 95% confidence interval for their average time performing a task? Please explain the significance of this confidence interval in explaining for time required to perform a task.
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