A video game player insists that the longer he plays a certain computer game, the higher his scores are. The table shows the total number of minutes played and the high score (in thousands of points) achieved after each 5-minute interval. Use α = .01 .
# Min 5 10 15 20 25 30 35 40 45 50 55 60 Score 48.0 53.3 101.9 72.5 121.5 146.0 196.1 118.5 150.5 80.7 36.0 64.8
What game score do you predict after 47 minutes of play? (Round to the nearest hundredth.)
Min (x) | Score (y) | x^2 | xy | |
5 | 48 | 25 | 240 | |
10 | 53.3 | 100 | 533 | |
15 | 101.9 | 225 | 1528.5 | |
20 | 72.5 | 400 | 1450 | |
25 | 121.5 | 625 | 3037.5 | |
30 | 146 | 900 | 4380 | |
35 | 196.1 | 1225 | 6863.5 | |
40 | 118.5 | 1600 | 4740 | |
45 | 150.5 | 2025 | 6772.5 | |
50 | 80.7 | 2500 | 4035 | |
55 | 36 | 3025 | 1980 | |
60 | 64.8 | 3600 | 3888 | |
Total | 390 | 1189.8 | 16250 | 39448 |
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