[填空题]
The table below shows the averagqc:naqaf;*0t sww+ a*e number of worhgiik- (r 11;dvh pfr r)h9o3pds of a child's vocabulary as age increases on a monthly basis.kpf -r(g1h3i9 )dvr1 rh;ophi The first row shows the child's age in months (t), and the second row 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 .$W=a \log (\mathrm{t})+b$ 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
