Question

(11) When two variables are measured on a single experimental unit, the resulting data are 3 called bivariate data. DESCRIBING BIVARIATE DATA (1) True (2) False (12) Two datasets (S., and S) are illustrated via scatterplots. Dataset S, has a correlation coefficient i = 0.95. For dataset S, the correlation coefficient r = -0,95. Which of the following statements is true? (1) Correlation coefficient does not indicate a linear relationship. (2) In both scatterplots, there is no clearly discernible linear pattern. (3) Both scatterplots show a relatively strong linear pattern. (4) The scatterplot of dataset Sy shows a non-linear pattern. Problem C: Many smartwatches allow individuals to track their fitness. In a study, a user recorded the number of steps (z) taken per day versus the calories (y) burned during this activity. Over a period of 7 days, the user generated the following summary information: n = 7 - 29500, Ew=1328, iyi = 5732550, 8715.2, and 8y = 32.2. (13) Refer to Problem C. Calculate the correlation coefficient r for this dataset. (1) -0.984 (2) 0.984 (3) -0.566 (4) 0.566 (14) Refer to Problem C. Calculate the slope of the least-squares regression line for this dataset. (1) 0.014 (2) -0.044 (3) 2.3 (4) -2.3 (15) Refer to Problem C. If the person took 4000 steps on a particular day, how many calories would you predict the person to burn? (1) About 100 (2) About 2000. (3) About 50. (4) About 180

Answer 1

The solution to this problem is given by

"TRUE". Solution Ans (11) The Steatment Because only two variables measured on bivariate elata, a single unit Ans (12) The collect answer is ," (31 Both scolteplots show a relatively strong linear relationship". which show Because In magnitude (de 120.95 and 162 = 0.45 which is nearly to 'I' and shows a Sllong linear relationship. Ar Now Given na7 En = 29500 Exi = 29500, qui 1398 Exiyi =5738550 Sy 32.2 in Eniyi Nowe r ny Su sy x n(n-1) (7*57325-50 - 29500 * 1378.- , 6x=715.2 Eni Egi) 715.2 & 32.2 X 7(71) 0.984

Ans (13) (2) The egh of regression line is (4- y) = r sy 18-2) Su =) - 1328 0.984 ( 71512 32.2 118 29500 7 "X= {xi ý - syi --) (9-189.7) = = 0.0443 (X - 4214.2857) > y = 0.044x + 4.2714 I X = Youo, ge ory 0:044 (4000) +4.2714 180.2714 algo 0.984 Ars 1/4)(1) slobe CH 0044 F01044 180 Avis (15) Ro Predicated value = ġa (4) About 180 Ause