Oil Quality and Price
Quality of Oil Is Measured in API

question 88

True/False

Oil Quality and Price
Quality of oil is measured in API gravity degrees--the higher the degrees API,the higher the quality.The table shown below is produced by an expert in the field who believes that there is a relationship between quality and price per barrel.
$$\begin{array} { | c | c | } \hline \text { Oi degrees API } & \text { Price per barrel (in \$) } \\\hline 27.0 & 12.02 \\28.5 & 12.04 \\30.8 & 12.32 \\31.3 & 12.27 \\31.9 & 12.49 \\34.5 & 12.70 \\34.0 & 12.80 \\34.7 & 13.00 \\37.0 & 13.00 \\41.0 & 13.17 \\41.0 & 13.19 \\38.8 & 13.22 \\39.3 & 13.27 \\\hline\end{array}$$ A partial Minitab output follows:
$$\begin{array}{l}\text { Dascriptive atafistics }\\\begin{array} { l l l l l } \text { Variable } & \mathrm { N } & \text { Mear } & \text { StDev } & \text { SE Mear } \\\text { Degrees } & 13 & 34.60 & 4.613 & 1.280 \\\text { Price } & 13 & 1270 & 0.757 & 0.127\end{array}\end{array}$$ $$\begin{array}{l}\begin{array} { l l } \text { Covariances }&&\\&\text { Degeres } & \text { Price } \\\text { Degeres } &21.281667 & \\\text { Price } &2.026750 & 0.208933\end{array}\end{array}$$ $$\begin{array}{l}\text { Analysis of Variance }\\\begin{array} { l l r r r } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text {p}\\\text { Regeression } & 1 & 2.3162 & 2.3162 & 134.24&0.000 \\\text { Resichul Entar } & 11 & 0.1898 & 0.0173 & \\\text { Total } & 12 & 2.5060 & &\end{array}\end{array}$$
-In a simple linear regression model,testing whether the slope $\beta$ ₁ of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation $\rho$ equals zero.

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Definitions:

Psychosexual Development

A Freudian theory that proposes that child development occurs in a series of stages which are characterized by sexual pleasures focusing on different parts of the body.

Flirtatious

Exhibiting behavior aimed at attracting or engaging someone romantically or sexually through acts or remarks that suggest interest without explicit intention.

Oral Stage

In psychoanalytic theory, the first stage in a child's psychosexual development, occurring in the first year, where the mouth is the primary focus of pleasurable sensations.

Psychosexual Development

Sigmund Freud's theory outlining how personality develops through five childhood stages, each focused on sexual pleasure derived from a particular part of the body.