An urban planner is analyzing the market value of office rentals in a growing metropolitan area. He suspects that as the distance from the central business district increases, the average rental price per square meter decreases. He collects data from 8 randomly selected office blocks. The results for distance (D D\,D km) and rental price (P P\,P in £100s per m2^22) are shown in the table below:
| Office Block | A | B | C | D | E | F | G | H |
|---|---|---|---|---|---|---|---|---|
| Distance DDD (km) | 1.5 | 2.4 | 3.6 | 4.2 | 5.9 | 6.8 | 8.1 | 9.5 |
| Price PPP (£100s) | 94 | 82 | 88 | 70 | 75 | 60 | 52 | 48 |
Calculate Spearman's rank correlation coefficient for these data.
Stating your hypotheses clearly, test at the 5% level of significance whether there is evidence of a negative correlation between distance from the city center and office rental price. State the critical value used.
A developer claims that moving an existing office building 2 km closer to the city center will automatically increase its market value. Comment on this claim.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.