mdm12Section3_T_OddSolutionsFinal

mdm12Section3_T_OddSolutionsFinal - Q1-5 Q7-9 CHAPTER 3...

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Q1-5 Q7-9 CHAPTER 3 Chapter Test, pp. 214–215 Solutions to Odd Number Problems 1. a) perfect negative linear correlation: a correlation with value –1. The dependent variable decreases at a constant rate as the independent variable increases. b) experimental research: the design of experiments and analysis of data to establish the presence of relationships between variables c) outlier: a data point or observation that lies a long way from the main body of data d) extraneous variable: a variable distinct from the dependent and independent variables that influences either the dependent and independent variable e) hidden variable: an extraneous variable that is not easily detected 3. a) A strong positive correlation is shown in the scatter plot. Recommended Age, x Mean Word Length, y x 2 y 2 xy 4 3.5 16 12.25 14 6 5.5 36 30.25 33 5 4.6 25 21.16 23 6 5 36 25 30 7 5.2 49 27.04 36.4 9 6.5 81 42.25 58.5 8 6.1 64 37.21 48.8 5 4.9 25 24.01 24.5 Sum x = 50 y = 41.3 x 2 = 332 y 2 = 219.17 xy = 268.2 x = 6.25 y = 5.162 b) r = 0.9347
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c) ( ) ( ( ) ( ) ) 2 8 268.2 50 41.3 8 332 50 0.517 a = = ( ) 5.162 0.517 6.25 1.93 b = = y = 0.517 x + 1.93 d) y = 0.517(12) + 1.93 = 8.1 5. a) The scatter plot for Jerome's data is shown at the right.
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