Question

2. When a baby boy was born he weighed 7.9 pounds. The table shows his growth over the next 24 months. Age in Months 1 6 12 18 24 Weight in Pounds 7.9 17.3 22.7 25.6 27.5 a. Use the scatter plot to determine if a linear, quadratic, exponential, or logarithmic equation best models the data. b. Find the appropriate curve of best fit. c. Estimate the baby's weight at 14 months.​

Answer 1

The baby's weight at 14 months would be 21.1 pounds.

Explanation:

a. To determine the best-fit model for the given data, we can plot the data on a graph and visually inspect it. From the scatter plot, we can see that the data points form a curved shape, suggesting that a quadratic or exponential equation may be a better fit than a linear or logarithmic equation.

b. To find the curve of best fit, we can use regression analysis. Using quadratic regression, the best-fit equation is:

Weight = -0.144(Age)^2 + 5.002(Age) + 5.698

c. To estimate the baby's weight at 14 months, we can substitute 14 for Age in the best-fit equation:

Weight = -0.144(14)^2 + 5.002(14) + 5.698 = 21.1 pounds

Therefore, we can estimate the baby's weight at 14 months to be 21.1 pounds.

Hope this helped, I'm sorry if it's wrong. If you need more help, ask me! :]