To find the approximate value of \( y \) when \( x = 4 \), we need to first calculate \( \log y \) using the equation provided:
\[ \log y = 0.75821 \cdot x + 0.03442 \]
Substituting \( x = 4 \):
\[ \log y = 0.75821 \cdot 4 + 0.03442 \]
Calculating \( 0.75821 \cdot 4 \):
\[ 0.75821 \cdot 4 = 3.03284 \]
Now we add \( 0.03442 \):
\[ \log y = 3.03284 + 0.03442 = 3.06726 \]
Next, we convert from the logarithmic form to the original form \( y \):
\[ y = 10^{\log y} = 10^{3.06726} \]
Using a calculator to compute \( 10^{3.06726} \):
\[ y \approx 1168.2 \]
Rounding this to the nearest whole number, we find:
\[ y \approx 1168 \]
Therefore, the approximate value of \( y \) when \( x = 4 \) is:
1,168