The scatter plot shows the sizes and annual rents of some office spaces in the downtown area of a city. ' SIZE AND ANNUAL RENT OF OFFICE SPACE A Home . ' n - 105,000 7 . had .. . 10,000 ' 7 #1 r . 35,000 77777 1777777 7 777* _._, 0 500 1,000 1,500 2,000 2,500 3,000 3,500 0,000 ' oln Spool (square foot) What would the line of best fit reveal about these data? There is a weak negative relationship between the cost of rent and the size of the office space. There is a weak positive relationship between the cost of rent and the size of the office space. There is a strong negative relationship between the cost of rent and the size of the office space. There is a strong positive relationship between the cost of rent and the size of the office space. 0 Question 30 E 0/1 pt '0 2 Annual high temperatures in a certain location have been tracked for several years. Let 'X' represent the year and 'Y' the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between 'X' and 'Y'. Use your calculator! x V 6.6 6.66 9.02 7.78 5.24 7 oxmswwa 0 Question 31 B 0/1 pt '0 z 5/ Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as 'y = -77,93 x + 8913' and the 'r = -0.254'. What proportion of the variation in y can be explained by the variation in the values of X? r2 = 96 Report answer as a percentage accurate to one decimal place. 0 Question 32 B 0/1 pt '0 2 An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement, Find a linear model that expresses mass as a function of the volume. grams Volume in ml 13 180.2 1 5.5 208.6 18 247.1 20.5 273.1 23 309. 5 25.5 346.6 28 376.8 A) Write the linear regression equation for the data in the chart. Volume '= ' 'x+' where x is the grams of the unknown metal. Round your answers to 3 decimal places 5) If the mass of an unknown metal is T 1, using your arr-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. 'mL ' @ BONpt'OZ E A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is: 'haty 2 - 4 x' where x is the number of years of schooling completed and y is the number of pregnancies. The slope of the regression line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to increase by 2, When amount of schooling increases by one year, the number of pregnancies tends to decrease by 2, When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4' When amount of schooling increases by one year, the number of pregnancies tends to increase by 4' 0 Question 34 E.' 0/1 pt '0 2 A test was given to a group of students. The grades and gender are summarized below A B C Total Male 1 3 1 6 1 8 47 Female 7 1 9 3 29 Total 20 3 5 Z1 76 If one student is chosen at random from those who took the test, Find the probability that the student was male GIVEN they got an 'A'. . Question 35 E 0/1 pt '0 Z You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 72%. You would like to be 98% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. 0 Question 36 E 0/1 pt '0 Z You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%, You would like to be 98% confident that your estimate is within 4.5% of the true population proportion. How large of a sample size is required? . Question 37 '2 0/1 pt '0 2 A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 1.5% margin of error at a 99.5% confidence level, what size of sample is needed? Give your answer in whole people