2) The marks obtained by nine Mathematical Studies SL students in their IAS (x) and their fincal IB examination scores (y) were recorded. These data were used to determine whether the project mark is a good predictor of the examination score. The results are shown in the table. Project mark (x) 10 Examination score (y) 47 18 61 a) 14 18 61 47 10 18 54 68 6 18 47 54 14 47 The equation of the regression line y on x is y = mx + b. A tenth student, Jerome, obtained a project mark of 7.

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Can someone please help with i and ii (after b)? Thank you.
i) Use the regression line y on x to estimate Jerome's examination score.
ii) Justify whether it is valid to use the regression line y on x to estimate Jerome's
examination score.
Transcribed Image Text:i) Use the regression line y on x to estimate Jerome's examination score. ii) Justify whether it is valid to use the regression line y on x to estimate Jerome's examination score.
2) The marks obtained by nine Mathematical Studies SL students in their IAs (x) and their fincal IB
examination scores (y) were recorded. These data were used to determine whether the project mark is a good
predictor of the examination score. The results are shown in the table.
Project mark (x)
10
Examination score (y) 47
18
61
a)
14
61
18
47
10
54
18
6
18
68 47 54
14
The equation of the regression line y on x is y = mx + b. A tenth student, Jerome, obtained a project mark of
17.
i) Use your graphic display calculator to write down y, the mean examination score.
ii) Use your graphic display calculator to write down r, Pearson's product-moment
correlation coefficient
b) Find the exact value of m and of b
47
Transcribed Image Text:2) The marks obtained by nine Mathematical Studies SL students in their IAs (x) and their fincal IB examination scores (y) were recorded. These data were used to determine whether the project mark is a good predictor of the examination score. The results are shown in the table. Project mark (x) 10 Examination score (y) 47 18 61 a) 14 61 18 47 10 54 18 6 18 68 47 54 14 The equation of the regression line y on x is y = mx + b. A tenth student, Jerome, obtained a project mark of 17. i) Use your graphic display calculator to write down y, the mean examination score. ii) Use your graphic display calculator to write down r, Pearson's product-moment correlation coefficient b) Find the exact value of m and of b 47
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