The Printout Shows the Results of a First-Order Regression Analysis

question 127

Essay

The printout shows the results of a first-order regression analysis relating the sales price y of a product to the time in hours x1 and the cost of raw materials x2 needed to make the product. SUMMARY OUTPUT
$\begin{array}{ll}\hline \text { Regression Statistics } & \\\hline \text { Multiple R } & 0.997578302 \\\text { R Square } & 0.995162468 \\\text { Adjusted R Square } & 0.990324936 \\\text { Standard Error } & 1.185250723 \\\text { Observations } & 5 \\\hline\end{array}$

ANOVA
$\begin{array}{llllll} & d f & \text { SS } & \text { MS } & F & \text { Significance } F \\\hline \text { Regression } & 2 & 577.9903614 & 288.9952 & 205.717 & 0.004837532 \\\text { Residual } & 2 & 2.809638554 & 1.404819 & & \\\text { Total } & 4 & 580.8 & & & \\\hline\end{array}$

$\begin{array}{lllllll}\hline & \text { Coefficients } & \text { Standard Error } & \text { tStat } & \text { P-value } & \text { Lower 95\% } & \text { Upper 95\% } \\\hline \text { Intercept } & -26.48433735 & 3.674668773 & -7.20727 & 0.018713 & -42.29517198 & -10.67350271 \\\text { Time } & -2.168674699 & 4.11406532 & -0.52714 & 0.650732 & -19.8700814 & 15.532732 \\\text { Materials } & 8.142168675 & 1.094681583 & 7.437933 & 0.0176 & 3.432130693 & 12.85220666 \\\hline\end{array}$
a. What is the least squares prediction equation? b. Identify the SSE from the printout. c. Find the estimator of σ2 for the model.

---

Definitions:

Moral Status

The standing or importance of an entity within a moral framework, dictating how it should be treated ethically.

Judith Jarvis Thomson

Known for her contributions to moral philosophy and ethics, particularly for her influential arguments concerning abortion and the defense of a woman's right to choose.

Fetus

A developing human from roughly eight weeks after conception to the moment of birth, during which time it grows and matures inside the womb.

Violinist Case

A famous thought experiment introduced by philosopher Judith Jarvis Thomson to discuss bodily autonomy and the morality of abortion.