Final answer:
The value of the slope in the regression model is approximately 1.37.
Step-by-step explanation:
The value of the slope can be calculated using the formula:
slope = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)
Plugging in the values from the given data:
slope = ((5*8 + 7*9 + 4*12 + 15*26 + 12*16 + 9*13) - 6(5 + 7 + 4 + 15 + 12 + 9)(8 + 9 + 12 + 26 + 16 + 13)) / ((5^2 + 7^2 + 4^2 + 15^2 + 12^2 + 9^2) - 6(5 + 7 + 4 + 15 + 12 + 9)^2)
slope = (1165 - 6(52)(84)) / (711 - 6(52)^2)
slope = (1165 - 26208) / (711 - 19656)
slope = -25043 / -18945
slope ≈ 1.37