[填空题]
A High School in Auckland, New Zerwy i1 wgw)7.waland, conducted a sh3z)hlra*ob 7.er l8 ntudy on the relationship between teaching experier .a)8hr 3o7*lzbehn lnce, in years, and teaching performance. There were 8 teachers involved in the study (labelled A to H). Teaching performances were assessed by the commission board of the school on a scale out of 100. The data is shown in the following table.
1. 1. Find the Pearson's product-moment correlation coefficient, r .≈
2. Using the value of r , interpret the relationship between teaching performance and teaching experience of these teachers.
2. Write down the equation of the regression line y on x .y =ax+b a = b =
3. 1. Use your regression equation from part (b) to estimate the teaching performance score of a teacher who has 8 years of teaching at the school.≈
2. State whether this estimate is reliable. Justify your answer.
4. Complete the two empty rank rows in the table above.
5. 1. Find the value of the Spearman's rank correlation coeffcient, r_{s} .≈
2. Interpret the result obtained for r_{s} .
This data collected excluded the Teachers first year of teaching, as they were on probation and not fully registered yet. The commission board decided to include this period to the working experience.
6. Explain why the value of the Spearman's rank correlation coefficient r_{s} does not change when this first year is included.
