Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snell "SA" (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets.
Helmet Weight Price
1 64 248
2 64 278
3 64 200
4 64 200
5 58 300
6 47 700
7 49 900
8 59 340
9 66 199
10 58 299
11 58 299
12 52 479
13 52 479
14 63 369
15 62 369
16 54 559
17 63 250
18 63 280
Instruction:
1. write the regression equation,
2. interpret the regression constant and regression coefficient,
3. forecast a value for the dependent variable,
4. test the significant of the regression coefficient with alpha equaling .05,
5. test the overall significant of the regression equation,
6. interpret the coefficient of determination,
7. are there any violations of the general linear model? explain.