[填空题]
The table below showshx n)iujedz,:fq(/0 j the aveujaz5pl;.vbx98m ka 4rage number of words of a child's vocabulary as age increases on a monthly basis. The first row shows the child's age in months (t), and the second row shows the average number of words, l puxm8 9vbj ;a4.azk5W, in hundreds.
1.Generate a scatter diagram for this data on the axes below and describe the trend.
2. Linearise the data and determine an appropriate linear model for the number of words, W , in terms of the months, t .$W=a \log (\mathrm{t})+b$ a = b =
3. Using your model, predict the approximate number of words in the vocabulary of a child who has just turned 6 years old.
The rate of change for the number of words a child learns per month can be estimated by W^{\prime}(t) .
4. Estimate the month at which the child learns 100 words per month.≈ month
