[填空题]
The table below shows 83t)6ly4 o atnm7dpsp;j +n imthe average number of words of a child's vocabu6ukn 8spp u*a.exh94o lary as age increases on a monthly basis. The first row shows the child's age in months (t), and the second rowuop*.e 8 px n4u9a6shk shows the average 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
