For each of the following sets of data, draw a scatter diagram and state whether there appears to be a linear positive correlation, a linear negative correlation or no correlation. (A correlation is a relationship or a connection.)
If there is a correlation, sketch the line of best fit.
1. The table shows the average hours of sunshine for the biggest towns in each of two islands, over the past 15 years.
|
Years
|
85
|
86
|
87
|
88
|
89
|
90
|
91
|
92
|
93
|
94
|
95
|
96
|
97
|
98
|
99
|
| Top Island |
2310
|
2100
|
1930
|
2190
|
1990
|
2130
|
2010
|
2430
|
2130
|
2290
|
2240
|
2110
|
2540
|
1890
|
2320
|
| Bottom Island |
1650
|
1550
|
1440
|
1590
|
1490
|
1620
|
1570
|
1740
|
1650
|
1540
|
1520
|
1580
|
1870
|
1450
|
1710
|
2. The table shows the areas and maximum depths of ten of New Zealand's lakes.
|
Lake name
|
Area of lake (km2)
|
Maximum Depth (m)
|
 |
| Taupo |
606
|
163
|
|
| Rotorua |
80
|
45
|
|
| Wairarapa |
80
|
3
|
|
| Ellesmere |
181
|
2
|
|
| Waikaremoana |
54
|
248
|
|
| Hauroko |
71
|
462
|
|
| Wanaka |
193
|
311
|
|
| Tarawera |
36
|
87
|
|
| Hawea |
141
|
384
|
|
| Monowai |
31
|
161
|
3. The table shows the total amount of money spent on road safety campaigns by a country and the number of road deaths each year.
| Year |
89
|
90
|
91
|
92
|
93
|
94
|
95
|
96
|
97
|
98
|
| Money spent ($millions) |
2.3
|
3.4
|
2.9
|
1.7
|
1.9
|
2.0
|
2.9
|
3.4
|
4.5
|
6.1
|
| Number of road deaths |
510
|
420
|
480
|
550
|
540
|
525
|
490
|
430
|
410
|
375
|
