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Consider the following table of data.x01234y41014a.

Chapter 1, Problem 8E

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QUESTION:

Problem 8E

Consider the following table of data.

x

0

1

2

3

4

y

4

1

0

1

4

a. Calculate the least squares line and the correlation coefficient.

b. Sketch a graph of the data.

c. Comparing your answers to parts a and b, does a correlation coefficient of 0 mean that there is no relationship between the x and y values? Would some curve other than a line fit the data better? Explain.

Questions & Answers

QUESTION:

Problem 8E

Consider the following table of data.

x

0

1

2

3

4

y

4

1

0

1

4

a. Calculate the least squares line and the correlation coefficient.

b. Sketch a graph of the data.

c. Comparing your answers to parts a and b, does a correlation coefficient of 0 mean that there is no relationship between the x and y values? Would some curve other than a line fit the data better? Explain.

ANSWER:

Solution

Step 1 of 4

In this problem, from the given data in the table we need to calculate the least square line correlation coefficient, and then sketch the graph of the data.

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