Consider the Sample Regression Function $\widehat { Y } _ { i } = \widehat { \beta } _ { 0 } + \widehat { \beta } _ { 1 } X _ { i }$

question 22

Essay

Consider the sample regression function $\widehat { Y } _ { i } = \widehat { \beta } _ { 0 } + \widehat { \beta } _ { 1 } X _ { i }$
The table below lists estimates for the slope $\left( \widehat { \beta } _ { 1 } \right)$ and the variance of the slope estimator $\left( \widehat { \sigma } _ { \widehat { \beta } _ { 1 } } ^ { 2 } \right)$ In each case calculate the p -value for the null hypothesis of $\beta _ { 1 } = 0$ and a two-tailed alternative hypothesis. Indicate in which case you would reject the null hypothesis at the 5 % significance level.
$\begin{array} { | c | c | c | c | c | } \hline \widehat { \beta } _ { 1 } & - 1.76 & 0.0025 & 2.85 & - 0.00014 \\\hline \hat { \sigma } _ { \widehat { \beta } _ { 1 } } ^ { 2 } & 0.37 & 0.000003 & 117.5 & 0.0000013 \\\hline\end{array}$

Understand the concept and structure of a crystal lattice.

Grasp the nomenclature and representation of chemical substances and compounds.

Recognize common names of substances and their chemical significance.

Understand the process of balancing chemical equations.

---

Definitions:

Bank Accounts

Financial accounts maintained by individuals or businesses with a bank, allowing for the deposit and withdrawal of money and other financial transactions.

Stocks

Shares of ownership in a company, representing a claim on part of the company's assets and earnings.

Purchase

Purchase refers to the act of obtaining goods or services in exchange for money or other valuable consideration.

Gift

Something voluntarily transferred by one person to another without compensation or consideration.