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30 Aug 2022

1. The table below shows the number of students in Artington High School from the member at years since 2000.

 

Number of Years since 2000	2	3	4	5	6
number of students in Artington High School	2892	3042	3087	3136	3296

 

a. Determine the regression lime using a calculator.

b. identify and interpret the slope in the context of the equation.

c. identify and interpret the y-intercept in the context of the equation.

d. Use your model to predict the population of Arlington High School in the year 2012. Round your answer to the nearest whole number.

e. Is your answer in (d) going the equal to the actual population in 2012? Explain.

 

2. A biologist is studying the relationship between a tree's diameter and its height. She records the following data for 7 different trees.

 

Diameter (Inches)	2	3	4	5	6	7	8
Height (Feet)	8	10	16	17	22	20	29

 

a. Determine the regression line using a calculator-

b. Identify and interpret the slope in the context of the equation.

c. Identify and interpret the yrinteroept in the context of the equation.

d. Use your model to estimate the height of a tree given that the diameter is 14 inches.

c. Is your answer in (d) going to be the actual height of a trec with a 14 inch diameter? Ex

plain.