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Chapter 12: Q. 63 (page 721)

63. If there are 15 data points in a set of data, what is the number of degree of freedom?

Short Answer

Expert verified

The number of degree of freedom for15data points in a set of data is13.

Step by step solution

01

Given information

There are 15 data points in a set of data, with the number of degree of freedom.

02

Explanation

To experiment with the correlation coefficient, utilize approach pvalues and procedure table of critical values. And to operate the table of critical values only to understand is the degree of freedom. Degree of freedom for a model of sample sizen is:
degree of freedom=n-2.
So, in this point, since the sample size is:

n=15

=15-2

=13

Therefore, the degree of freedom will be 13.

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Most popular questions from this chapter

Use the following information to answer the next two exercises. The price of a single issue of stock can fluctuate throughout the day. A linear equation that represents the price of stock for Shipment Express is y=15–1.5xwhere xis the number of hours passed in an eight-hour day of trading.

If you owned this stock, would you want a positive or negative slope? Why?

Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges \(25+\)20per hour of work. A linear equation that expresses the total amount of money Ethan earns per visit isy=25+20x. What are the independent and dependent variables? What is the y-intercept and what is the slope? Interpret them using complete sentences.

For a given line of best fit, you compute that r=0.5204 using n=9 data points, and the critical value is 0.666. Can the line be used for prediction? Why or why not?

The average number of people in a family that attended college for various years is given in Table 12.29.

a. Using “year” as the independent variable and “Number of Family Members Attending College” as the dependent variable, draw a scatter plot of the data.

b. Calculate the least-squares line. Put the equation in the form of: \(\hat{y}=a+bx\)

c. Find the correlation coefficient. Is it significant?

54. Are you more or less confident in the predictive ability of the new line of best fit?
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