Use the Following to Answer Questions 5 - 8 -Estimate the Linear Regression Model That Relates the Response Variable

question 28

Essay

Use the following to answer questions 5 - 8.
A small independent organic food store offers a variety of specialty coffees. To
determine whether price has an impact on sales, the managers kept track of how many
pounds of each variety of coffee were sold last month. The data, scatterplot and
summary statistics are shown below. $$\begin{array}{l}\begin{array} { | l | l | l | } \hline & \text { PRICE PER POUND } & \text { POUNDS SOLD } \\\hline & \$ 3.99 & 75 \\\hline & \$ 5.99 & 60 \\\hline & \$ 7.00 & 65 \\\hline & \$ 12.00 & 45 \\\hline & \$ 4.50 & 80 \\\hline & \$ 7.50 & 70 \\\hline & \$ 15.00 & 25 \\\hline & \$ 10.00 & 35 \\\hline & \$ 12.50 & 40 \\\hline & \$ 8.99 & 50 \\\hline & & \\\hline \text { Mean } & \$ 8.75 & 54.50 \\\hline \text { Standard Deviation } & \$ 3.63 & 18.33 \\\hline & & \\\hline \text { Correlation } & - 0.927 & \\\hline\end{array}\\\end{array}$$


-Estimate the linear regression model that relates the response variable (monthly sales)
to the predictor variable (price per pound).
a. Find the slope of the regression line.
b. Find the intercept of the regression line.
c. Write the equation of the linear model.

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Definitions:

Semantic Encoding

The process of encoding sensory input that has particular meaning or can be applied to a context, rather than merely being remembered as a visual or auditory stimulus.

Mnemonic

A memory aid, often a word, phrase, or visual image, designed to help remember information or a concept.

Phonemic

Relating to the system of phonemes in a language, that is, the smallest unit of sound that can distinguish meaning.

Structural

Pertaining to the underlying framework or organization of a system.