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What is the degree of freedom(df) value for these data? What critical value(s) should Natalie use for the NHST? Should Natalie reject or retain null

What is the degree of freedom(df) value for these data? What critical value(s) should Natalie use for the NHST? Should Natalie reject or retain null hypothesis ? What is r^2?

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Natalie is an anthropology student who has measured the diameter of clay pots found at an archeological site (X) and the volume of those pots ()). Natalie wants to know if these measurements are related. Because both variables are part of a pot's physical measurements, it is reasonable to expect them to be positively correlated, so Natalie will conduct a one-tailed test at a = .05, Below are the scores for both variables for the 12 pots found at the site: Data Table ID X Y 12.8 342.1 2 10.6 244.9 3 7.8 199.1 4 15.2 252.0 5 12.2 190.6 6 9.9 120.1 7 14.4 218.9 8 10.9 111.6 9 12.8 212.5 10 14.0 308.9 11 15.0 355.0 12 16.2 391.2

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