A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions. State Nur 1 630 370 3 616 4 700 430 (a) What is the equation of the regression line? LO

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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4) A researcher wants to know if there is a relationship between the number of
shopping centers in a state and the retail sales (in billions $) of that state. A
random sample of 8 states is listed below. After determining, via a scatter-plot,
that the data followed a linear pattern, the regression line was found. Using the
given data and the given regression output answer the following questions.
State
Num
Sales
630
15.5
2
370
7.5
3
616
13.9
4
700
18.7
430
8.2
(a) What is the equation of the regression line?
(b) Find r?.
(c) Find the error for predicting the sales of a state with 1200 stores.
(d) Use the regression line to predict the sales for a state with 500 stores
6.
568
13.2
1200 23.0
2976 87.3
7
8.
Transcribed Image Text:4) A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions. State Num Sales 630 15.5 2 370 7.5 3 616 13.9 4 700 18.7 430 8.2 (a) What is the equation of the regression line? (b) Find r?. (c) Find the error for predicting the sales of a state with 1200 stores. (d) Use the regression line to predict the sales for a state with 500 stores 6. 568 13.2 1200 23.0 2976 87.3 7 8.
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