The following linear regression model was run based on data for 500 production employees in an industry.
Question:
The following linear regression model was run based on data for 500 production employees in an industry.
Earn= alpha + betaSCH+ y test 1 + o test 2
Earn = Annual salary in US $000’s SCH= number of years of formal education, test 1 and test 2 are scores on test of two dimension of intelligence that were administered by a psychologist. The computer output for the model is presented below in Table 3
Table 3 Regression Output
The regression equation is *************
Predictor | Coef | STD DEV | T-RATIO | P |
Constant | 7.6991 | 2.18118 | 2.74 | 0.006 |
SCH | 0.9135 | 0.1987 | * | 0.000 |
TEST 1 | 3.0755 | 1.0052 | 3.06 | 0.002 |
TEST 2 | 0.5116 | 0.2912 | 1.76 | ** |
S=10.23, R-sq= 0.09, R sq Adj=0.08
Analysis of Variance
Source | Df | SS | MS | F | P |
Regression | 3 | 5387.89 | 1795.97 | - | - |
Error | 496 | 51993.04 | 104.82 | ||
Total | 499 |
- The value of * is
- 4.60
- 2.00
- 1.84
- 3.51
- The value of ** is
- Between 0.05 and 0.1
- Between 0.01 and 0.025
- Greater than 0.1
- Between 0.025 and 0.05
- The value of the F statistic is
- 9.650
- 0.104
- 0.058
- 17.134
- The value associated with f statistic is
- Between 0.01 and 0.025
- Less than 0.001
- Between 0.025 and 0.05
- Between 0.01 and 0.001
- Based on the table, which of the following is true
- Alpha, beta and Y are significant to 5% level
- None of the coefficients in the model are significant at the 5%level
- Alpha, Y and O are significant to 5% level
- All the coefficients in the model are significant at the 5% level
- The following correlation matrix was developed using the same dataset for EARN ( annual salary) S(years of education, Test1 and Test2 ( performance on two test)
Which of the following is true
Earn | $ | Test 1 | Test 2 | |
Earn | 1.000 | 0.272 | 0.235 | 0.196 |
$ | 0.272 | 1.000 | 0.475 | 0.558 |
Test 1 | 0.235 | 0.475 | 1.000 | 0.856 |
Test 2 | 0.196 | 0.558 | 0.856 | 1.000 |
- Test 2 is strongly correlated with earn
- Test 2is strongly correlated with test 1
- Earn is strongly correlated with S
- All of these are true
Statistics The Exploration & Analysis Of Data
ISBN: 9780840058010
7th Edition
Authors: Roxy Peck, Jay L. Devore