Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827. x 67 64 75 86 73 73 y 42 39 48 51 44 51 Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.) t critical t
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. Σx = 438, Σy = 275, Σx2 = 32264, Σy2 = 12727, Σxy = 20231, and r ≈ 0.827.
x | 67 | 64 | 75 | 86 | 73 | 73 |
y | 42 | 39 | 48 | 51 | 44 | 51 |
Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)
t | |
critical t |
Conclusion
%
lower limit | % |
upper limit | % |
Use a 5% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)
t | |
critical t |
Conclusion
lower limit | |
upper limit |
Interpret its meaning.
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