If I attend 3 more tutorials, what impact do I expect this to have on my final mark?   The R2 value for the model fit was 0.11. Write a sentence about what this represents with respect to the data.

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  1.  If I attend 3 more tutorials, what impact do I expect this to have on my final mark?

    1.  
    2. The R2 value for the model fit was 0.11. Write a sentence about what this represents with respect to the data.

You have been asked to analyse a suspected relationship between tutorial attendance
and final marks for a university course. The latest set of data includes final marks Y
(between 0 and 100) and tutorial attendance X (between 0 and 12) for 65 students.
You have done a regression analysis on the dataset in R and the output is given below,
along with a scatter plot of X and Y. Answer the subsequent questions regarding this
analysis.
80
Final Mark
60
40
T
T
o
O
0 0
00
O
O
o o
0 0 0
@0 00
0 00
O
ο απο
00
00 00
O
000
O®
ooo
o
2
4
6
8
10
12
Tutorials Attended
Figure 3: Q3) Scatterplot of marks against tutorial attendance.
Estimate Std. Error t value Pr(> |t|)
(Intercept)
44.1517
4.6207
9.555 7.17e-14
X
2.7914
0.5679
4.915 6.65e-06
Table 2: Q10) Regression summary.
Transcribed Image Text:You have been asked to analyse a suspected relationship between tutorial attendance and final marks for a university course. The latest set of data includes final marks Y (between 0 and 100) and tutorial attendance X (between 0 and 12) for 65 students. You have done a regression analysis on the dataset in R and the output is given below, along with a scatter plot of X and Y. Answer the subsequent questions regarding this analysis. 80 Final Mark 60 40 T T o O 0 0 00 O O o o 0 0 0 @0 00 0 00 O ο απο 00 00 00 O 000 O® ooo o 2 4 6 8 10 12 Tutorials Attended Figure 3: Q3) Scatterplot of marks against tutorial attendance. Estimate Std. Error t value Pr(> |t|) (Intercept) 44.1517 4.6207 9.555 7.17e-14 X 2.7914 0.5679 4.915 6.65e-06 Table 2: Q10) Regression summary.
2
1
Standardized residuals
-1
-2
0
00
039
081
Normal Q-Q
-2
000000000 0730.
2
-1
0
1
Theoretical Quantiles
aov(ANOV_X~ group)
Figure 1: Q9) QQ-plot.
Residuals
4
2
T
@oooo @DO O O
000 @xxxxxxxxxx@
0
000 ORDEIDO CO
-2
@13
-4
Residuals vs Fitted
10.0
039
11.0
10.5
11.5
Fitted values
aov(ANOV_X~ group)
Figure 2: Q9) Residual plot.
810
Transcribed Image Text:2 1 Standardized residuals -1 -2 0 00 039 081 Normal Q-Q -2 000000000 0730. 2 -1 0 1 Theoretical Quantiles aov(ANOV_X~ group) Figure 1: Q9) QQ-plot. Residuals 4 2 T @oooo @DO O O 000 @xxxxxxxxxx@ 0 000 ORDEIDO CO -2 @13 -4 Residuals vs Fitted 10.0 039 11.0 10.5 11.5 Fitted values aov(ANOV_X~ group) Figure 2: Q9) Residual plot. 810
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