2 The table gives the heights, in cm, and weights, in kg, of 11 football players selected at random. Height, h cm 161 173 154 181 172 184 176 169 165 180 173 Weight, w kg 74 76 61 80 76 88 79 76 75 83 75 a Plot the points on a scatter diagram. b Calculate the coordinates of the point (h, W) and mark it on your graph. c Draw a line of best fit. d Predict the weight of a football player with height 170 cm.
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- How strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs. Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070 Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning Use your calculator or software to find the correlation, ?,�, and equation of the least‑squares regression line for predicting sister's height from brother's height, ?̂ .�^. Make a scatterplot of the data and add the regression line to your plot. Give your answer to three decimal places. Enter the equation of the least‑squares regression line, with the numerical values rounded to three decimal places and ?� as the explanatory variable. (If you are using CrunchIt, adjust the…How strongly do physical characteristics of sisters and brothers correlate? The data in the table give the heights (in inches) of 1212 adult pairs. Brother 7171 6868 6666 6767 7070 7171 7070 7373 7272 6565 6666 7070 Sister 6969 6464 6565 6363 6565 6262 6565 6464 6666 5959 6262 6464 To access the data, click the link for your preferred software format. CSV Excel (xls) Excel (xlsx) JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning Assume Damien is 6767 inches tall. Predict the height of his sister Tonya. Give your answer to one decimal place. Tonya's predicted height:The following is data for the first and second Quiz scores for 8 students in a class. First Quiz Second Quiz 11 11 18 13 19 17 24 19 42 39 44 39 45 42 47 45 Plot the points in the grid below.
- The segmented bar graphs below depict data from the NAAL (National Assessment of Adult Literacy) conduct-ed in 2003. (Source: Kutner, M., et al, Literacy in Everyday Life: Results From the 2003 National Assessment of Adult Lit-eracy (NCES 2007–480).U.S. Department of Education. Washington, DC) Does there appear to be a relationship between volunteer-ism and literacy level? a) Yes, all three bars have the same number of segments.b) Yes, because all three bars have the same height.c) Yes, because the corresponding segments of the threebars have different heights.d) No, because the corresponding segments of the threebars have different heights.e) No, because the sums of the 3 proportions in each barare identical.A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen, publicly traded companies at random and records for each the company‘s current stock price and the company‘s earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock ( both in dollars). A scatter plot of her data is shown in Figure 1.A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the previous year. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.
- When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 18 sets of skeletal remains. The data are in the table below. X, length of metacarpal (in cm) Y, height (in cm) 51 180 45 173 47 175 42 165 44 171 40 163 42 175 44 173 39 159 45 173 46 175 52 176 50 181 50 178 49 170 46 173 38 157 49 185 a) State the random variables. rv X = of rv Y = of b) Make a scatterplot of X versus Y in StatCrunch (optional). Why do we wish to sketch a scatterplot? c) Find the equation of the best-fitting line (the least squares regression equation). Round values to 2 decimal places. Include the restricted domain. equation: = + * X restricted domain: cm <= X <= cm d) Interpret the slope from part c in the context of this problem. (Pay…a researcher wants to determine how employee salaries at a certain company are related to the length of employment, previous experience, and education. The researcher selects eight employees from the company and obtains the following data: Employee Salary,y Employment (in yrs), x1 Employment (in yrs), x2 Employment (in yrs), x3 A 57310 10 2 16 B 57380 5 6 16 C 54135 4 1 12 D 56985 6 5 14 E 58715 8 8 16 F 60000 20 0 12 G 59400 9 4 18 H 60720 15 7 17 Leave answers in 4 decimal places. Find the coefficient of determination and standard error? The coefficient of determination is ----and standard error----The data represent the heights in feet and the number of stories of the tallest buildings in a city. Height, x Stories, y 947 57 708 52 658 46 529 40 450 31 446 28 430 24 420 26 419 32 Scatter Plot for the Heights (in Feet) and Number of Stories of the Buildings. y 10 20 30 40 50 60 70 80 90 x 100 200 300 400 500 600 700 800 900 0 Part: 0 / 3 0 of 3 Parts Complete Part 1 of 3 Find the value for r . Round your answer to at least three decimal places. r ≈ 0.942 Part: 1 / 3 1 of 3 Parts Complete Part 2 of 3 Test the significance of r at the 5% level and at the 1% level. Sample Size 5% 1% Sample Size 5% 1% 4 .950 .990 17 .482 .606 5 .878 .959 18 .468 .590 6…
- Use a stem-and-leaf plot to display the data, which represent the thickness (in centimeters) of ice measured at 20 different locations on a frozen lake. Describe any patterns. 5.8 6.5 6.9 7.2 5.1 4.9 4.9 5.8 7.0 6.8 8.2 7.5 7.2 5.2 7.2 8.0 7.9 6.9 5.9 4.9 Determine the leaves in the stem-and-leaf plot below. Key: 3|3=3.3 Ice Thickness 4 nothing 5 nothing 6 nothing 7 nothing 8 nothing What best describes the data? A. Most thicknesses are less than 5 centimeters. B. Most thicknesses are 6 centimeters. C. Most thicknesses are greater than 7 centimeters. D. Most thicknesses are between 5 and 8 centimeters.A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy", may aid in calculations.)The data set below represents the amount of soft drink in a sample of 50 2-liter bottles: a. Construct a histogram and a percentage polygon. b. On the basis of the results in (a) and (b), does the amount of soft drink filled in the bottles concentrate around specific values? 2.007 2.004 1.988 1.995 1.997 2.019 1.993 2.007 2.019 2.017 1.995 1.983 1.988 2.004 2.017 1.996 1.989 1.985 1.985 2.014 1.987 2.002 2.028 1.963 2.021 1.967 1.999 1.987 2.021 1.977 1.977 2.018 2.035 1.979 1.977 2.012 2.029 2.014 2.014 1.954 1.955 1.944 2.051 1.985 1.931 1.912 1.939 2.038 1.901 1.932 On the basis of the results in (a), does the amount of soft drink filled in the bottles concentrate around specific values? Select the correct choice below, and, if necessary, fill in the answer box within your choice. A. Yes, the amout of soft drink concentrates around ___ liters. (Round to two decimal places as needed.) B. No, the amount of soft drinks does not concentrate around…