Using the regression output, determine the regression equation that predicts the English diagnostic test score.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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a.     Using the regression output, determine the regression equation that predicts the English diagnostic test score.

2.2
The ABS has produced the following regression analysis regarding the English diagnostic test score of the international students enrolled at 20 Australian universities in 2020.
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Average IELTS
score
Year 12 average
score
Average age
0.975
0.951
0.933
1.752
20
df
5
14
19
2.632
SS
Coefficients Standard Error
26.940
8.810
0.501
-0.389
830.231
42.969
873.2
0.783
0.098
0.384
MS
166.046
3.069
t Stat
3.058
3.360
5.123
-1.013
F
54.101
P-value
0.009
0.005
0.000
0.003
Significance F
0.000
Lower 95%
8.044
0.952
0.291
-1.212
Upper 95%
45.836
4.312
0.710
0.434
Transcribed Image Text:2.2 The ABS has produced the following regression analysis regarding the English diagnostic test score of the international students enrolled at 20 Australian universities in 2020. Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Average IELTS score Year 12 average score Average age 0.975 0.951 0.933 1.752 20 df 5 14 19 2.632 SS Coefficients Standard Error 26.940 8.810 0.501 -0.389 830.231 42.969 873.2 0.783 0.098 0.384 MS 166.046 3.069 t Stat 3.058 3.360 5.123 -1.013 F 54.101 P-value 0.009 0.005 0.000 0.003 Significance F 0.000 Lower 95% 8.044 0.952 0.291 -1.212 Upper 95% 45.836 4.312 0.710 0.434
Expert Solution
Step 1

It is given that

Intercept = 26.940

Coef(IELTS) = 2.632

Coef(year 12) = 0.501

Coef(age) = -0.389

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