PART A - Kindly Write Clearly

The table shows the vocabulary sizes of children at various ages: Age (yrs), x Vocabulary Size (words), y 1 20 2 430 IN 600 3 1200 1100 1500 1525 5 2100 5 2000 6 2500 6 2600 a. (4 pts) Create a scatterplot of age vs. vocabulary size. Roughly sketch it below. Label axes appropriately.b. (2 pts) By looking at the scatterplot, how would you characterize the correlation between age and vocabulary? (choose one) No correlation ii. Linear, positively correlated III. Linear, negatively correlated iV. Non-linear, positively correlated V. Non-linear, negatively correlatedC. (2 pts) Find the correlation coefficient r d. (2 pts) Test rat a=.05. Based on the test, does the regression equation provide a good fit to the data and the equation is useful for making predictions? e. (2 pts) Determine the equation of the regression line? f. (3 pts) Based on the equation, predict the vocabulary of a 3.5 year old child. g. (3 pts) Based on the equation, predict the age of a child with a 750 word vocabulary.h. {2 pts} Based on your analysis, what can you say about age vs. vocabulary?I {choose one] i. Getting older causes a child's vocabulary size to increase ii. A child's age can be used to predict vocabulary size iii. Vocabulary can be used to predict the age ofa child iv. Both ii and iii v. All of the above