In: Math
Income (in thousands) |
ACT Composite score |
30 |
16 |
21 |
18 |
24 |
18 |
59 |
21 |
55 |
23 |
105 |
25 |
35 |
26 |
S.No | X | Y | (x-x̅)2 | (y-y̅)2 | (x-x̅)(y-y̅) |
1 | 30 | 16 | 289.0000 | 25.0000 | 85.0000 |
2 | 21 | 18 | 676.0000 | 9.0000 | 78.0000 |
3 | 24 | 18 | 529.0000 | 9.0000 | 69.0000 |
4 | 59 | 21 | 144.0000 | 0.0000 | 0.0000 |
5 | 55 | 23 | 64.0000 | 4.0000 | 16.0000 |
6 | 105 | 25 | 3364.0000 | 16.0000 | 232.0000 |
7 | 35 | 26 | 144.0000 | 25.0000 | -60.0000 |
Total | 329 | 147 | 5210.0000 | 88.0000 | 420.0000 |
Mean | 47.000 | 21.000 | SSX | SSY | SXY |
since test statistic does not falls in rejection region we fail to reject null hypothesis |
we do not have have sufficient evidence to conclude that, t there is a significant relationship between household income and ACT Composite score |