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Question 3 12 marks An study was conducted using data from pedometers of 68 randomly selected participants. The researchers wSteps,Min, keal,Mile 7537,17, 117, 4.2 10008,48,274,5.6 6912,29,166, 3.9 7552,33,186,4.3 6789,20,135, 3.8 4219,17, 90,2.3 9262232,3,22,1.2 7071,36, 214,4 7443,39, 227,.2 5423,24, 132,3 8305, 42,237,4.7 2978,6, 42,1.6 2966,0,13,1.6 4727,10,82,2.6 2501

Question 3 12 marks An study was conducted using data from pedometers of 68 randomly selected participants. The researchers wanted to know if the number of steps taken by a participant (Steps) could be predicted using the time they spent walking (Minutes). The data are available on MyUni in the file Steps.csv 2(a) Produce a scatterplot of Steps vs Minutes and describe any relationship between these two variables. (b) Perform a linear regression analysis on this data in MATLAB and then answer the following questions. Include your output from MATLAB in your assignment i. Write down the equation of the line of best fit. ii. Perform an appropriate hypothesis test to determine whether there is a statisti cally significant linear relationship between Steps and Minutes at the 5% level. Include the appropriate null and alternative hypotheses, test statistic, P-value, and conclusion. Define any parameters you use. 4(c) Determine, with accompanying plots, if the assumptions of the linear regression model are reasonable for this set of data.
Steps,Min, keal,Mile 7537,17, 117, 4.2 10008,48,274,5.6 6912,29,166, 3.9 7552,33,186,4.3 6789,20,135, 3.8 4219,17, 90,2.3 9260,54, 280,5.2 5519,27,154,3.1 4465,14, 82,2.5 8057,47,237,4.5 6095, 24,136, 3.4 5260,13, 84,2.9 5613,13,90,2.9 8754,44, 251, .9 5993,22, 144, 3.4 4515,3,42,2.5 6534,18,108,3.7 4442,12,75,2.5 4498,10, 71,2.4 4863,11,71,2.7 3256,5, 35,1.9 3892,7,54,2.2 4363, 8, 53,2.4 7749,35,209,4.4 4469, 6, 52,2.5 4521,8, 56,2.5 4208,5,41,2.3 3353,7,47,1.8 6925,35, 195, 3.9 6217,29,160,3.5 6282,29, 164,3.5 3384,2,22,1.9 4038,3,33,2.2 3620,11, 69,2 942,9,61,2.2 6091,35,192,3.4 6245,28,168,3.5 6744,32,183,3.8 6563,24,151, 3.7 5621,11,99,2.7 7127,17,116, 4 5736,18,110,3.2 7279,35,214,4.1 10634, 54, 305, 5.3 9793,54, 317,5.5 6566,33,193,3.7 4058,2, 34,2.3 3347,6, 52,1.9 7546,34, 195, .2 7219,36, 205, 4.1 7805,41, 223, 4.4 5762,30,176,3.2 5707,23,142,3.2
2232,3,22,1.2 7071,36, 214,4 7443,39, 227,.2 5423,24, 132,3 8305, 42,237,4.7 2978,6, 42,1.6 2966,0,13,1.6 4727,10,82,2.6 2501,3,23,1.4 2703,3,20,1. 2635,4,25,1.4 1996,1,10,1.1 4142,13, 94,2.3 4057,11,72,2.3 4287,6,42,2.4
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