[填空题]
The table below shows the averagebtuyx)ww,dt d38(,0tex qs+u,c ro4t number of woyv g,e+m/ *npusuhi;. rds 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 averagesguym;eh*v ,p /.uni+ number of words, W, 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= log(t) - .
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.
t≈ month
