Consider the Following Pairs of Observations $\begin{array}{|l|l|l|l|l|l|}\hline x & 2 & 0 & 3 & 3 & 5 \\\hline y & 1 & 3 & 4 & 6 & 7 \\\hline\end{array}$

question 47

Essay

Consider the following pairs of observations: $\begin{array}{|l|l|l|l|l|l|}\hline x & 2 & 0 & 3 & 3 & 5 \\\hline y & 1 & 3 & 4 & 6 & 7 \\\hline\end{array}$

a. Construct a scattergram for the data.
b. Find the least squares line, and plot it on your scattergram.
c. Find a $99 \%$ confidence interval for the mean value of $y$ when $x = 1$ .
d. Find a $99 \%$ prediction interval for a new value of $y$ when $x = 1$ .

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Definitions:

Teen Sexual Abstinence

The decision by teenagers not to engage in any form of sexual activity, often for personal, religious, or health reasons.

Sexual Passion

Intense feelings of desire, attraction, or lust toward another person, often within a sexual context.

Contraception Use

Refers to the methods or devices used to prevent pregnancy.

Sexual Fantasies

Imaginary thoughts or daydreams about sexual desires or activities.