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[ADVANCE]

[VERIFY]

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[PIVOT]

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system
According to the regulations of the traffic management department, drivers of electric bicycles must wear helmets to protect their safety. A certain city conducted safety education on this matter continuously in the first half of last year. The table below shows the statistical data of electric bicycle drivers not wearing helmets captured by surveillance equipment at a certain main intersection in the city for five consecutive months last year:

Table 1:

| Month $x$ | 1 | 2 | 3 | 4 | 5 |
|-----------|---|---|---|---|---|
| Number of people not wearing helmets $y$ | 120 | 100 | 90 | 75 | 65 |

(1) Please use the given data to find the regression line equation $\hat{y} = \hat{b}x + \hat{a}$ between the number of people not wearing helmets $y$ and the month $x$;  
(2) The traffic management department has recorded 100 accidents involving electric vehicles passing through this intersection over the past five years. By analyzing the relationship between not wearing helmets and the casualties in accidents, the following table was obtained. Can it be considered with 95% confidence that not wearing helmets is related to casualties in accidents?

Table 2:

|         | Not Wearing Helmet | Wearing Helmet |
|---------|--------------------|----------------|
| Casualties | 15 | 10 |
| No Casualties | 25 | 50 |

Reference data and formulas: $\sum_{i=1}^5{{x_i}{y_i}}=1215$, $\hat{b}=\frac{{\sum_{i=1}^n{{x_i}}{y_i}-n\overline{x}\overline{y}}}{{\sum_{i=1}^n{x_i^2}-n{{\overline{x}}^2}}}$, $\begin{array}{l}{{χ^2}=\frac{{n{{(ad-bc)}^2}}}{{({a+b})({c+d})({a+c})({b+d})}}}\end{array}$

| $P(\chi ^{2}\geqslant k)$ | 0.10 | 0.05 | 0.01 | 0.005 |
|---------------------------|------|------|------|-------|
| $k$ | 2.706 | 3.841 | 6.635 | 7.879 |

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