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1. Classify the type of linear correlation that you would expect with the following pairs of variables. a) hours of study, examination score b)
1. Classify the type of linear correlation that you would expect with the following pairs of variables. a) hours of study, examination score b) speed in excess of the speed limit, amount charged on a traffic fine c) hours of television watched per week, final mark in calculus d) a person's height, sum of the digits in the person's telephone number e) a person's height, the person's strength 2. Identify the independent variable and the dependent variable in a correlational study of a) heart disease and cholesterol level b) hours of basketball practice and free- throw success rate c) amount of fertilizer used and height of plant 3. For a week prior to their final physics examination, a group of friends collect data to see whether time spent studying or time spent watching TV had a stronger correlation with their marks on the examination. Hours Examination Hours Studied Watching TV Score 10 8 72 11 7 67 15 4 81 14 3 93 8 9 54 5 10 66 a) Create a scatter plot of hours studied versus examination score. Classify the linear correlation. b) Create a similar scatter plot for the hours spent watching TV. c) Which independent variable has a stronger correlation with the examination scores? Explain. 6. Application Six classmates compared their arm spans and their scores on a recent mathematics test as shown in the following Arm Span (m) 1.5 Score 82 1.4 71 1.7 75 1.6 66 1.6 90 1.8 73 a) Illustrate these data with a scatter plot. b) Determine the correlation coefficient and classify the linear correlation. c) What can the students conclude from their data?
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