(A)Estimate the Regression Model

question 11

Essay

(A)Estimate the regression model.How well does this model fit the given data?
(B)Is there a linear relationship between X and Y at the 5% significance level? Explain how you arrived at your answer.
(C)Use the estimated regression model to predict the number of caps that will be sold during the next month if the average selling price is $10.
(D)Find a 95% prediction interval for the number of caps determined in Question 90.Use t- multiple = 2.
(E)Find a 95% confidence interval for the average number of caps sold given an average selling price of $10.Use a t-multiple = 2.
(F)How do you explain the differences between the widths of the intervals in (D)and (E)?

---

Definitions:

Pituitary Glands

A small, pea-sized gland located at the base of the brain, crucial for regulating vital body hormones and functions.

Oxytocin

A hormone and neurotransmitter involved in childbirth and breast-feeding, also associated with behaviors such as bonding, trust, and empathy.

Pitocin

A synthetic form of oxytocin used medically to induce labor and control bleeding after childbirth.

Respiratory Distress Syndrome

A medical condition often seen in premature infants, characterized by difficulty in breathing due to insufficient surfactant in the lungs.