UA Stat Quiz #7 (1)

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May 4, 2024

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Statistics Quiz #7 Introduction to Statistics Name: _________________ Quiz: Assignment #7 (Correlations) Compute the correlation between the following set of values: x 4 7 2 3 y 3 8 3 6 a. mean of x: [whole number] 4+7+2+3= 16/4 = 4 b. mean of y: [whole number] 3+8+3+6= 20/4 =5 c. standard deviation of x (show work): formula [2-decimal accuracy] (4-4) 2 +(7+4) 2 +(2-4) 2 +(3+4) 2 3 (0) 2 +(3) 2 +(-2) 2 +(-1) 2 3 14/3= 4.67 Square root of 4.67= 2.16 d. Standard deviation of y (show work)  [2-decimal accuracy] (3-5) 2 +(8-5) 2 +(3-5) 2 +(6+5) 2 ----------------------------------- 4-1 4+9+4+1 ------------- 3 18/3= 6.00 Square root of 6.00= 2.45

x 4 7 2 3 y 3 8 3 6 e. Compute correlation. Formula: (4-4/2.16) (3-5/2.45)+(7-4/2.16)(8-5/2.45)+(2-4/2.16)(3-5/2.45)+(3-4/2.16)(6-5/2.45) ----------------------------------------------------------------------------------------------------------------- 4-1 0+ (9/5.292)+ (4/5.292) +( -/5.292) ----------------------------------------------- 3 2.267/3 = 0.756 [3-decimal accuracy for final answer]

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