the formula log w= -2.866 + 2.722 log h estimates the normal weight w in pounds of a girl h inches tall. Estimate the normal weight of a 68" tall girl.
Estimate? Or calculate?
estimate
I "estimated" her weight to be 132.46 pounds
To estimate the normal weight of a 68-inch tall girl using the given formula, we substitute the value of h = 68 into the formula log w = -2.866 + 2.722 log h and solve for w.
1. Start with the formula: log w = -2.866 + 2.722 log h
2. Substitute h = 68 into the formula: log w = -2.866 + 2.722 log (68)
3. Calculate log (68) using a calculator: log (68) ≈ 1.832
4. Substitute the value of log (68) into the formula: log w = -2.866 + 2.722 * 1.832
5. Multiply 2.722 and 1.832: log w = -2.866 + 4.991904
6. Add -2.866 and 4.991904: log w ≈ 2.125904
7. Convert the logarithm equation into exponential form: w = 10^(2.125904)
8. Evaluate 10^(2.125904) using a calculator: w ≈ 130.2975
Therefore, the estimated normal weight of a 68-inch tall girl is approximately 130.2975 pounds.