Still using the data in xwales.mwx, the equation of the regression line for the relationship between the percentage of M

[answerhappygod]

Still using the data in xwales.mwx, the equation of the
regression line for the relationship between the percentage of M140
students studying for a Maths and Stats degree and year is y =
984.2 − 0.482x where y is the percentage of M140 students studying
for a Maths and Stats degree and x is the year.
(a) Obtain and state the Pearson correlation coefficient for the
relationship between the percentage of students studying for a
Maths and Stats degree and the year. What does this tell you about
the strength of the linear relationship?
(b) Produce a residual plot for the least squares regression
line, and include it in your answer. What does the residual plot
indicate about the fit of the least squares regression line?
Justify your opinion.
(c) Your manager has asked you to predict the percentage of
students studying for a Maths and Stats degree in 2020. Give one
reason in favour of using this regression line to predict the
percentage for 2020 and give two reasons against.

Still Using The Data In Xwales Mwx The Equation Of The Regression Line For The Relationship Between The Percentage Of M 1 (47.36 KiB) Viewed 71 times

Still Using The Data In Xwales Mwx The Equation Of The Regression Line For The Relationship Between The Percentage Of M 2 (7.28 KiB) Viewed 71 times

C1 C2-T C3 C6 C7 C8 C9 C10 C11 C12 C13 C14 id C4 C5 number %maths 66 34 %stats year 2019 2019 1 9 2 94 28 10 3 157 20 9 2019 2019 4 42 10 16 5 50 26 8 6 2018 2018 2018 69 34 4 7 154 29 11 8 2018 43 28 14 9 2017 61 28 11 10 90 26 12 11 164 18 15 12 40 35 13 area 1 South West of England 2 East of England 4 Scotland 5 Northern Ireland 6 South West of England 7 East of England 9 Scotland 10 Northern Ireland 11 South West of England 12 East of England 14 Scotland 15 Northern Ireland 16 South West of England 17 East of England 19 Scotland 20 Northern Ireland 21 South West of England 22 East of England 24 Scotland 25 Northern Ireland 26 South West of England 27 East of England 29 Scotland 30 Northern Ireland 31 South West of England 2017 2017 2017 2016 2016 2016 13 49 31 10 14 89 26 6 15 135 21 13 16 2016 42 19 21 17 2015 59 29 12 18 93 26 11 2015 2015 19 163 26 12 20 2015 44 18 27 21 80 34 10 22 92 23 11 23 2014 2014 2014 2014 2013 147 20 12 9 24 54 19 25 74 26 9

26 122 23 11 27 32 East of England 34 Scotland 35 Northern Ireland 2013 2013 2013 136 26 18 28 55 27 17 29 30