[填空题]
The Elite Traveller and Condé 6vn2.tx3 uj lmNasr lds;1l:n eu5,s2u fqt Traveller are two magazines that review and rank the best restaurants in Paris. Based on different sets of criteria, scores out of 10 are assigned 5r2 euud;ln, 1slsf: qto 8 restaurants in Paris (labelled A to H). The raw data is collated in the following table.
1. 1. Find the Pearson's product-moment correlation coefficient, r , for this data.≈
2. Using the value of r , interpret the relationship between the Elite Traveller's score and the Conde Nast Traveller' score.
2. Find the equation of the line of regression, y on x .y =ax+b a = b =
3. 1. Use your regression equation from part (b) to estimate the Condé Nast Traveller's score when the Elite Traveller awarded a perfect 10.≈
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. Comment on the result obtained for $ r_{s}$ .
The Director of the Elite Traveller Magazine believes that the score for restaurant E was too high and decreased the score from 9.7 to 9.2 .
6. Explain why the value of the Spearman's rank correlation coefficient $r_{s} $ does not change.
