1) Fifteen students were weighed and their pulse rates were measured: Weight (x kg) Pulse rate (y beats per min) 65 59 54 74 69 87 61 59 70 69 75 60 56 53 58 46 37 32 57 47 64 42 30 52 56 65 43 36 28 40 a Draw a scatter diagram for the data. b Calculate r. Describe the relationship between weight and pulse rate.
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- Cell Phone Radiation Listed below are the measured radiation absorption rates (in W/kg) corresponding to these cell phones: iPhone 5S, BlackBerry Z30, Sanyo Vero, Optimus V, Droid Razr, Nokia N97, Samsung Vibrant, Sony Z750a, Kyocera Kona, LG G2, and Virgin Mobile Supreme. The data are from the Federal Communications Commission. If one of each model of cell phone is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (x grams) was recorded together with their yield (y kilograms). Year #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Weeds in roots (x) 30 28 32 25 25 24 22 24 35 40 Yield (y) 25 30 27 40 42 41 50 45 30 25 Draw a scatter diagram of these data. Label the diagram carefully. Calculate the sample correlation coefficient. Interpret your findings. Calculate the least squares line of y on x and draw the line on the scatter diagram. Based on the regression equation in part (iii.), what will be the predicted yield of apple for a tree with 37 grams of weeds in its roots? Will you trust this value? Justify your answer. Briefly comment on…Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 ..... Describe each data set, that is determine the shape, center, and spread. Sample mean for Car 1 x=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample mean for Car 2 x=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 1 M=____________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 2 M=___________mi / 10 gal (Type…
- Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 27 43 32 47 23 40 34 52 y 29 22 22 13 29 17 21 14 Complete parts (a) through (e), given Σx = 298, Σy = 167, Σx2 = 11,800, Σy2 = 3745, Σxy = 5833, and r ≈ −0.911. (a) Draw a scatter diagram displaying the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x (d) Graph the least-squares line.…Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 27 43 32 47 23 40 34 52 y 29 22 22 13 29 17 21 14 Complete parts (a) through (e), given Σx = 298, Σy = 167, Σx2 = 11,800, Σy2 = 3745, Σxy = 5833, and r ≈ −0.911. (a) Draw a scatter diagram displaying the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x (d) Graph the least-squares line. Be…This set of data provided by Blaisdell (1998) shows the sales of hot, freshly cooked bowls of cereal and the early morning temperature (in degrees Fahrenheit). Calculate and report the three (3) measures of dispersion for the number of hot cereal sales. Temperature Hot Cereal Sales 18 64 10 50 5 80 24 60 38 22 14 72 20 58 32 31 29 54 35 48
