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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.

Question

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.

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Solution

The slope of the line represents "The change in expected height for every one additional centimeter of femur length."

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Cooper decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches then throws back into the water. After plotting all his data, he draws a line of best fit. What does the slope of the line represent?

3- Calculate the change in length of the upper leg bone (the femur)when a 70.0 kg man supports 62.0 kg of his mass on it, assuming thebone to be equivalent to a uniform rod that is 40.0 cm long and 2.00cm in radius, and young modulus 9x109 N/m2

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.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit. x = 24,22,19,23,20,24,28,25,17,24,26,22 y = 159, 148, 126,157,138, 162, 180,161, 122, 155, 173, 146 a. y = 25.05 + 5.57x b. y = -5.57 + 25.05x c. y = 5.57 + 25.05x d. y = 5.57 - 25.05x

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.)

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