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 mm) were collected for 20 sets of skeletal remains. The data are in the table below.X, length of metacarpal (in mm) Y, height (in cm)38 15742 17548 17145 17347 17546 16944 17350 18149 18547 17246 17545 17341 16542 16547 17151 18041 16240 16039 15952 176a) State the random variables.      X = Correct of Correct      Y = Correct of Incorrectb) Make a scatterplot of X versus Y in statistical software or on your computer. Which of the following is the correct graph?     38404244464850525415816016216416616817017217417617818018218438404244464850525415816016216416616817017217417617818018218438404244464850521581601621641661681701721741761781801821843840424446485052158160162164166168170172174176178180182184Correctc) Find the equation of the best-fitting line (the least squares regression equation).      Round values to 2 decimal places.      Include the restricted domain.       equation:  Correct = 98.85Correct + 1.6Correct * X       restricted domain: 38Correct mm <= X <= 52Correct mmd) Interpret the slope from part c in the context of this problem. (Pay attention to the units)Every time we increase Correct by 1Correct Incorrect we can expect Correct to Correct by on average.e) Interpret the Y-intercept from part c in the context of this problem. Include units.When Correct is 0Correct , we expect to be      Does it make sense to interpret the Y-intercept on this problem?     Why or why not? Correctf) Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 44 mm?     Correct    Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 63 mm?     Correct     Looking at your answers above, predict the height for the one above that it made sense to do so.     Make sure you use the stored equation and not the rounded equation from part c.       Round final answer to 2 decimal places.The predicted height for a randomly selected set of skeletal remains that has a length of metacarpal of mm is g) Compute the residual for the following ordered pair in the data: (46, 169).     Make sure you use the stored equation and not the rounded equation from part c.     Round final answer to 2 decimal places.     The residual for the set of skeletal remains with a length of metacarpal of 46 mm is      Interpret what this value means in the context of this problem.The actual height of a randomly selected set of skeletal remains with a length of metacarpal of 46 mm is what was predicted.

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 mm) were collected for 20 sets of skeletal remains. The data are in the table below.X, length of metacarpal (in mm) Y, height (in cm)38 15742 17548 17145 17347 17546 16944 17350 18149 18547 17246 17545 17341 16542 16547 17151 18041 16240 16039 15952 176a) State the random variables.      X = Correct of Correct      Y = Correct of Incorrectb) Make a scatterplot of X versus Y in statistical software or on your computer. Which of the following is the correct graph?     38404244464850525415816016216416616817017217417617818018218438404244464850525415816016216416616817017217417617818018218438404244464850521581601621641661681701721741761781801821843840424446485052158160162164166168170172174176178180182184Correctc) Find the equation of the best-fitting line (the least squares regression equation).      Round values to 2 decimal places.      Include the restricted domain.       equation:  Correct = 98.85Correct + 1.6Correct * X       restricted domain: 38Correct mm <= X <= 52Correct mmd) Interpret the slope from part c in the context of this problem. (Pay attention to the units)Every time we increase Correct by 1Correct Incorrect we can expect Correct to Correct by on average.e) Interpret the Y-intercept from part c in the context of this problem. Include units.When Correct is 0Correct , we expect to be      Does it make sense to interpret the Y-intercept on this problem?     Why or why not? Correctf) Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 44 mm?     Correct    Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 63 mm?     Correct     Looking at your answers above, predict the height for the one above that it made sense to do so.     Make sure you use the stored equation and not the rounded equation from part c.       Round final answer to 2 decimal places.The predicted height for a randomly selected set of skeletal remains that has a length of metacarpal of mm is g) Compute the residual for the following ordered pair in the data: (46, 169).     Make sure you use the stored equation and not the rounded equation from part c.     Round final answer to 2 decimal places.     The residual for the set of skeletal remains with a length of metacarpal of 46 mm is      Interpret what this value means in the context of this problem.The actual height of a randomly selected set of skeletal remains with a length of metacarpal of 46 mm is what was predicted.

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 28 sets of skeletal remains. The data are in the table below.X, caloric content Y, sodium content187 499190 645111 300140 326141 386139 322177 429135 298184 482190 587176 483186 495159 374148 375132 253157 440152 330181 477131 317182 481149 319153 401149 322158 370150 326175 479176 425191 591a) State the random variables.    rv X = of     rv Y = of b) The symbol and value of the correlation coefficient are as follows:    Round final answer to 3 decimal places.

The following scatterplot gives the height and arm span of 15 students.Use the graph and the given trendline, y=1.1007x – 19.049 to predict the arm span of a student who is 181 centimeters tall.(Round your answer to one decimal place, and don't include units (centimeters) in your answer.)

The following scatterplot shows the height and arm span data collected from a sample of 20 students.Which of the following is most correct statement about the input and output variables?Group of answer choicesThe number of cenitmeters is the input variable and height and arm span are both output variables.Arm span is the input variable and height is the output variable.The number of cenitmeters is the input variable and each of the 20 students represents an output variable.Height is the input variable and arm span is the output variable.Each of the 20 students is an input variable and the number of inches is the output variable.

There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height, as expressed in the graph below. What does the slope of the line represent?123455557.459.862.264.66769.471.874.20xy0∙Expected Height (centimeters)Femur Length (centimeters)AnswerMultiple Choice AnswersThe expected height for someone with a femur length of 55 centimeters.The change in expected height for every one additional centimeter of femur length.The change in expected femur length for every one additional centimeter of height.The femur length for someone with an expected height of 55 centimeters.