Homework Q2: Find the Pearson correlation coefficient Person Age (x) Income (y) (xy) (x²) (y²) 1 20 1500 30000 400 2250000 2 30 3000 90000 900 9000000 3 40 5000 200000 1600 25000000 4 50 7500 375000 2500 56250000 Total 140 17000 695000 5400 92500000 23
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- 3A correlation coefficient provides two pieces of information about a relationship between two variables. These are -Strength; direction of relationship - Direction, proportions - Direction, which one causes which - Which one causes which, effect size. READ FIRST: Show as much of your work in the text box below as possible, and include the rest in your scratch work. Scratch work supports what you write on this exam form. At the minimum, type your answers to each of the following 5 questions A-E in the text box - do not refer me to your scratch work for the answers. Do show your work (on the exam form or scratch work) for the calculations needed to answer B, so partial credit can be given in the case of a math error that throws off your calculations. The best way to do this is inside tables if possible. Total 10 15 You conduct a survey to find out whether talking on a cell phone during a romantic date bothers people. You want to find out if there is a gender difference on this issue,…Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week. Table :1 Hrs.Worked ( x ) No. of accidents( y ) 30 2 42 3 25 4 44 8 56 5
- Calculate the Karl Pearson's coefficient of correlation of the short-term ocillations for the indices of supply and price of certain commodity given here : Year Year Index of Index of Index of Price Index of Supply Supply Price 2003 91 117 2011 104 77 2004 98 97 2012 98 93 2005 95 102 2013 100 89 2006 92 108 2014 108 83 2007 93 105 2015 116 78 2008 96 96 2016 114 84 2009 102 77 2017 111 93 2010 107 68 [Take 5-yearly moving average and ignore decimals in computing the average.]What is your best estimate of the correlation coefficient shown here? VARIASLE X +1.0 +0.8 0.0 -0.8 -1.0A negative value for a correlation indicates____ increase in X tend to be accomplished by the increase in Y how much weaker relationship then if the correlation were positive a much stronger relationship than if the correlation were positive increase in X tend to be accomplished by decrease in Y
- Past data on household income and expenditure reveal that: (a) The average absolute increase in income in relation to increase in expenditure is $ 1.5 crore and (b) the average absolute increase in expenditure in relation to increase in income is $ 0.50 crore. Find the co-efficient of correlation between household income and expenditure.%5D%2C"action"%3A"open"%2C"userld*%3A 1058667002127212725. O 175% Turn In 32. 10 13For each pair of quantities, decide if the correlation coefficient would be close to 1, close to -1, or not be close to 1 or -1. Part: 0/4 Part 1 of 4 (a) The number of hours a student spends studying and the score on that student's exam. The correlation coefficient would be close to 1 Part: 1/4 Part 2 of 4 Part: 2/4 X (b) The number of hours a student spends studying and the number of letters in that student's name. The correlation coefficient would be close to -1 Part 3 of 4 X Ś X Ś (c) The number of hours an overweight person spends exercising and that person's weight. The correlation coefficient would be close to 1 5
- As a researcher, you are interested if there is a significant difference in immunizations in those in low socioeconomic status and those in high socioeconomic status. To evaluate this you use the data below to calculate a Chi-Square (X2). Socioeconomic Status Socioeconomic Status Total High Low Immunized 1000 500 1500 Not Immunized 250 750 1000 Total 1250 1250 2500Squaring the Pearson correlation coefficient (r2) tells us thatFor half-life demonstration, plot ln(half-lives) in the x-axis vs ln(no. of “tails-up” coins) in the y-axis. Perform linear regression to obtain the value of the slope, the value of the y-intercept, and the correlation coefficient r. What is the significance of these values?