Question

The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 a) Find equation of the regression line for this data b) Assuming these variables have a significant correlation, what is the best predicted value for blood pressure of an individual who is 64 years old? c) Calculate the correlation coefficient. d) Calculate the standard error for the model. 2) It was recently found that for all patients calling medical advice line claiming to have the flu, only about 15% truly has the flu (and not just a nasty cold). Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu. a) Find the probability that in this sample of 25, exactly 3 callers actually have the flu. b) Find the probability that in the sample of 25, at most 3 callers actually have the flu

please help with both problems, thank you very much!

Answer 1

Y I pressure) x lAge) xy x2 y2 IT 2 116 38 4408 1444 13456 117 Lüny? 120 41 1681 14400 121.469 2.16 123 4920 SS3S 4S 2025 IS 129 127. 421 131 48 6288 2304 17161 131.885 142 7242 2601 20164 136.349 SI S3 19.sas 0.783. 31.93 32.2 7.414 1.51 145 2809 21025 148 7685 8436 S7 3249 21904 139.325 145.277 151 229 ISO 61 SISO 3721 22 SOD IS2 • 26.84 GS 9880 IS7181 4225 2310 4 Σ 1227 459 635 4 4 24059 1688 93 122.38 47 Gru? 122 + x 24059 459 x 635 44 a Ey.EX² - -EXEY nex² - (Ex1² = 60.461 9x 24059 - 4592 9 x 635 49 - 459X 1227 η ΣΧΥ - ΣΧΣ NEX² - (Ex)2 = 1.488 9x 24059 4592 cal y = a to a (y = 60.461 + 1.488 a 9 x 635 4 4 - 459 x 1227 nexy - EXEY V nex² - (Ex 2. Sney? (E4,2 (9x 24059 - 459%) (9x168843 -1227²) 0.9597 (6) when 20 -64, ý = 60.461 +1.488 x 64 = 15s.693 8.a Eu? 122.3847 √ 17.4835 - 4.1813 n-2 7 4.1813 the flue out of is of standard error of model = number of callers actually have (x=0,-., 25) þ= Probcbility of callers have the flu 25 - o.is

ai Plx=31 | 2 10.15)3 11-0:18, 25-3 0.2173 Required probability = 0.2173 (6) PlX <312 25-2 È 25) 10-15) "11-0.15) 0.4 711 Required probability = 0.4711