An insurance manager believes that the number of new policies written annually by his agents is related to the number of years of selling experience that these agents have. A random sample of 12 agents revealed the data in the table below: Number of years of experience Number of new policies written annually 2 17 5 22 7 34 6 37 12 50 9 41 5 13 20 48 13 39 4 20 10 35 20 63 2.1 determine the dependent and the independent variable  2.2 using appropriate computational formulae find the least-square regression line.  2.3 Interpret the y- intercepts of regression equation in question 2.2 above

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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An insurance manager believes that the number of new policies written annually by his agents is related to the number of years of selling experience that these agents have. A random sample of 12 agents revealed the data in the table below:

Number of years of experience Number of new policies written annually
2 17
5 22
7 34
6 37
12 50
9 41
5 13
20 48
13 39
4 20
10 35
20 63


2.1 determine the dependent and the independent variable 
2.2 using appropriate computational formulae find the least-square regression line. 
2.3 Interpret the y- intercepts of regression equation in question 2.2 above 
2.4 Calculate the Pearson’s correlation coefficient for the above data 
2.5 interpret the correlation coefficient calculate in question 2.4 above 
2.6 Predict the number of policies written annually by an agent with 3 years of experience.

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2.5 interpret the correlation coefficient calculate in question 2.4 above 
2.6 Predict the number of policies written annually by an agent with 3 years of experience

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2.4 Calculate the Pearson’s correlation coefficient for the above data

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