3. Use graphing technology, where applicable, to answer the following questions. A group of randomly chosen high school students were asked to jog on the spot for varying amounts of time (in minutes), after which their heart rates were measured. The data that was collected are shown below. Amount of time jogging on the spot (minutes) Heart rate (beats per minute) 7 100 2 85 11 110 3 92 10 115 3 60 13 116 105 12 110 13 150 98 6 95 8 108 a. Create a scatter plot of the data obtained and describe the scatter plot by commenting on: i. the type of correlation; ii. the strength of the correlation; iii. the direction; iv. outlier(s), if any. b. Determine the equation of the line of best fit and comment on the strength of the correlation (you are encouraged to use desmos). c. Identify any outliers and suggest reasons for the outlier(s). If applicable, remove the outlier(s) and determine the new equation of the line of best fit. Comment on the strength of the correlation without the outlier. d. Predict the heart rate of a person who has been jogging for 4 minutes. e. Predict the how long a person would have to jog for to get a heart rate of 125 beats per minute. Comment on the reasonableness of this prediction. What other factors may influence the change in test scores?4. Describe how the following analysis of two-variable data may be affected by sample size and/or outliers. 450 400 350 300 250 200 150 100 50 0 5 10 15 20 25 Figure 10 25 20 15 10 5 10 15 20 b. Figure 115. The following are the entrance exam scores (percentages) of 15 randomly chosen students: 65 81 55 90 35 95 62 89 83 74 83 62 68 83 a. Calculate the mean, median and mode of the 15 scores. Round answers to the nearest whole number if applicable. b. Calculate the range of the scores. c. Determine the first, second and third quartiles. d. Calculate the percentile rank of a person who has a score of 62%. e. What is the score of a person who is in the 80th percentile of the data? 6. Seven out of every nine people do not floss regularly. a. Identify what piece(s) of information is missing. b. Assume the cited statistic is valid. Applying this statistic to a group of 270, calculate the number of people who do floss regularly