Let X Be the Number of Pages in a Geometry

question 47

Essay

Let x be the number of pages in a geometry text book and y be the cost of the book (in dollars). Suppose that x and y are related according to the simple linear regression model with β = slope of the population regression line = 0.05 α = y intercept of population regression line = 30.0 ​
a) What is the equation of the population regression line?
b) On the graph below, sketch the population regression line using the information above. Be sure to label and scale your axes correctly.
c) For a geometry book of 300 pages, what is the predicted cost in dollars?
d) What is the average change in price that is associated with a one-page increase in size of the geometry book?
e) What is the average change in price that is associated with a 20-page increase in size of the geometry book?

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Definitions:

Meiosis

A type of cell division that reduces the chromosome number by half, resulting in the production of haploid gametes or spores.

Strobilus

In certain plants, a conelike structure that bears spore-producing sporangia.

Rhizoids

Rhizoids are small, root-like structures found in non-vascular plants, fungi, and some protists that anchor them to surfaces and absorb nutrients.

Gametophyte

The sexual phase in the life cycle of plants and algae that produces gametes through mitosis.