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. x 67 64 75 86 73 73 y 42 40 48 51 44 51 (a) Verify that Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823. Σx   Σy   Σx2   Σy2   Σxy   r   (b) Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.) t   critical t   (c) Verify that Se ≈ 2.9785, a ≈ 8.997, b ≈ 0.5069, and x ≈ 73.000. Se   a   b   x

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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.

x 67 64 75 86 73 73
y 42 40 48 51 44 51
(a) Verify that Σx = 438, Σy = 276, Σx2 = 32264, Σy2 = 12806, Σxy = 20295, and r ≈ 0.823.
Σx  
Σy  
Σx2  
Σy2  
Σxy  
r  

(b) Use a 5% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)
t  
critical t  

(c) Verify that Se ≈ 2.9785, a ≈ 8.997, b ≈ 0.5069, and x ≈ 73.000.

Se  
a  
b  
x  
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