A parent believes their child's weight depends on their age. We assume a child's birth weight is 8.3 lbs. and each year that passes the child gains 6 lbs.

(a) Identify the independent and dependent variables.

(b) Find the equation that expresses the child's weight in terms of the child's age.

(c) What is the slope? Interpret its meaning.

(d) What is the y - intercept? Interpret its meaning.

For any hypothesis tests, your answer must include the test being used, the hypotheses, the p-value with interpretation and the conclusion.