Consider the Following Time Series Data A Construct a Time Series Plot

question 15

Essay

Consider the following time series data: $$\begin{array} { | c | c | } \hline \boldsymbol { t } & \boldsymbol { y } \boldsymbol { t } \\\hline 1 & 0.345 \\\hline 2 & 0.366 \\\hline 3 & 0.398 \\\hline 4 & 0.356 \\\hline 5 & 0.456 \\\hline 6 & 0.478 \\\hline 7 & 0.543 \\\hline 8 & 0.596 \\\hline 9 & 0.634 \\\hline 10 & 0.698 \\\hline\end{array}$$
a. Construct a time series plot. What type of pattern exists in the data?
b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
c. What is the forecast for t = 11?

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Definitions:

Justification

Providing sufficient reasons, evidence, or arguments to support a claim, belief, or action as valid or acceptable.

Premise

An assertion or proposition which forms the basis for a work's conclusion; in logic, it is the antecedent of an argument.

Simp

A slang term often used to describe someone who performs excessive subservience or attention to another person, typically someone they're interested in, often disregarding their own needs or dignity.

MP

Short for Modus Ponens, a form of argument in logic where if the first statement is true, then the second statement must also be true (If P, then Q. P, therefore Q).