The Summary Statistics for a Certain Set of Points Are $s _ { \mathrm { e } } = 2.080$

question 1

Essay

The summary statistics for a certain set of points are: n=17 , $s _ { \mathrm { e } } = 2.080$
$\sum ( x - \bar { x } ) ^ { 2 } = 16.106 , \text { and } b _ { 1 } = 1.388$ Assume the conditions of the linear model
hold A 95% confidence interval for $\beta _ { 1 }$ will be constructed.
i). How many degrees of freedom are there for the critical value?
ii). What is the critical value?
iii). What is the margin of error?
iv). Construct the 95 % confidence interval.

---

Definitions:

Parathyroid Hormone

A hormone secreted by the parathyroid glands that regulates calcium levels in the blood.

Serum Levels

The concentration of substances in the clear liquid portion of the blood after coagulation.

Adrenocorticotropic Hormone

A hormone produced by the anterior pituitary gland that stimulates the adrenal cortex to release corticosteroid hormones.

Cortisol

Steroid hormone released by the zona fasciculata of the adrenal cortex; increases blood glucose and inhibits inflammation.