Question

Which regression equation best fits these data?

1) y = 12.00 ⋅ 0.94x
2) y = –0.59x 12.5
3) y = –0.30x² – 0.48x + 15.83
4) y = 0.30x² + 0.48x + 15.83

Answer 1

The regression equation that best fits the data is y = 0.30x² + 0.48x + 15.83.

Step-by-step explanation:

The regression equation that best fits the data is y = 0.30x² + 0.48x + 15.83. To determine the best fit, we look for the equation that has the highest coefficient of determination (r²) and a significant correlation between the variables. The equation y = 0.30x² + 0.48x + 15.83 is a quadratic equation, which suggests a curvilinear relationship between the variables.