Suppose a study was conducted to explore the relationship between age and vocabulary size in young children. The age and vocabulary size for a hypothetical sample of 90 children is recorded. With reference to the results shown in the Excel output, answer the following questions:

(a) What are the null and alternative hypotheses? (b) Describe the relationship between age and vocabulary size. The direction, form, strength and outliers of the relationship should be based on the scatterplot diagram and the tables above. (c) State the regression equation that would allow you to predict vocabulary size from age. (d) Interpret the slope of this regression equation. (e) Interpret R Square. (f) What is the conclusion? Support the answer with relevant statistics.