+ Source of Degrees of Sums of Mean sums F-ratio p-value Variation Regression Freedom squares of squares 1 3.5878 3.5876 9.2402 0.029 Residual Total 118 45.8176 0.3883 119 49.4055 Coefficients Standard t- P- Lower Upper Intercept Lower 6th score (x) 2.11 Error statistic 0.3209 6.5880 value 95% 95% 0.0000 1.4786 2.7495 0.04 0.02128 3.0398 0.0029 0.0135 0.0641 11) v) What is the regression equation for A-level result on Lower Sixth result? What does the regression equation tell us? What does a) the intercept and b) Lower Sixth score coefficient indicate? What do the signs of the coefficients indicate? -) Interpret the regression statistics (Multiple R, R-squared (R²), Adjusted R- squared (R2) and standard error). -i) -ii) Based on the ANOVA Table output, what conclusion can you make over the relationship between A-level results and Lower Sixth score? Determine the 95% confidence interval of the coefficient of Lower Sixth score coefficient.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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Question
+
Source of
Degrees of Sums of
Mean sums
F-ratio
p-value
Variation
Regression
Freedom
squares
of squares
1
3.5878
3.5876
9.2402
0.029
Residual
Total
118
45.8176
0.3883
119
49.4055
Coefficients Standard t-
P-
Lower
Upper
Intercept
Lower 6th
score (x)
2.11
Error
statistic
0.3209 6.5880
value
95%
95%
0.0000
1.4786
2.7495
0.04
0.02128
3.0398
0.0029
0.0135 0.0641
11)
v)
What is the regression equation for A-level result on Lower Sixth result?
What does the regression equation tell us?
What does a) the intercept and b) Lower Sixth score coefficient indicate?
What do the signs of the coefficients indicate?
-)
Interpret the regression statistics (Multiple R, R-squared (R²), Adjusted R-
squared (R2) and standard error).
-i)
-ii)
Based on the ANOVA Table output, what conclusion can you make over the
relationship between A-level results and Lower Sixth score?
Determine the 95% confidence interval of the coefficient of Lower Sixth score
coefficient.
Transcribed Image Text:+ Source of Degrees of Sums of Mean sums F-ratio p-value Variation Regression Freedom squares of squares 1 3.5878 3.5876 9.2402 0.029 Residual Total 118 45.8176 0.3883 119 49.4055 Coefficients Standard t- P- Lower Upper Intercept Lower 6th score (x) 2.11 Error statistic 0.3209 6.5880 value 95% 95% 0.0000 1.4786 2.7495 0.04 0.02128 3.0398 0.0029 0.0135 0.0641 11) v) What is the regression equation for A-level result on Lower Sixth result? What does the regression equation tell us? What does a) the intercept and b) Lower Sixth score coefficient indicate? What do the signs of the coefficients indicate? -) Interpret the regression statistics (Multiple R, R-squared (R²), Adjusted R- squared (R2) and standard error). -i) -ii) Based on the ANOVA Table output, what conclusion can you make over the relationship between A-level results and Lower Sixth score? Determine the 95% confidence interval of the coefficient of Lower Sixth score coefficient.
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