To create a linear model for the given data, we can determine the equation of the line in the form [tex]\( y = ax + d^3 \)[/tex], where [tex]\(a\)[/tex] is the slope and [tex]\(d^3\)[/tex] is the intercept of the line. Based on the provided data and calculations, the results are:
1. Slope ([tex]\(a\)[/tex]): 3.771 (rounded to three decimal places)
2. Intercept ([tex]\(d^3\)[/tex]): -8.610 (rounded to three decimal places)
Thus, the linear model for the data is:
[tex]\[ y = 3.771x - 8.610 \][/tex]