Question A web development team records the number of hours spent on debugging (X) and the number of resolved issues (Y) across 10 sprints. a) Calculate the Pearson correlation coefficient to assess the relationship between debugging hours and issues resolved. b) Derive the regression equation of is
Question
A web development team records the number of hours spent on debugging (X) and the number of resolved issues (Y) across 10 sprints.
$$\begin{array}{|c|cccccccccc|}\hline X & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 & 55 & 60 \ \hline Y & 3 & 6 & 8 & 11 & 12 & 14 & 16 & 19 & 21 & 22 \ \hline \end{array}$$
a) Calculate the Pearson correlation coefficient to assess the relationship between debugging hours and issues resolved.
b) Derive the regression equation of issues resolved on hours spent debugging.
c) Predict the number of issues resolved for 38 hours of debugging.
[10+0+0+0]
X (hours) 15 20 25 30 35 40 45 50 55 60 --------------------------------- Y (issues) 3 6 8 11 12 14 16 19 21 22 $n = 10$ --- X Y XY X² Y² ------------------- 15 3 45 225 9 20 6 120 400 36 25 8 200 625 64 30 11 330 900 121 35 12 420 1225 144 40 14 560 1600 196 45 16 720 2025 256 50 19 950 2500 361...