and save the file as a par. 1. Ane Index is a measure of the ratio...
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and save the file as a par. 1. Ane Index is a measure of the ratio of a human's arm span relative to their height. There are hypotheses in some sports that athletes with a unusually high Ape Index have an advantage that explains their dominance in the sport. Micheal Phelps, the most decorated Olympic swimmer of all time (28 medals), is one such example. The data set below contains measurements of the heights and arm spans of 12 adult humans. Arm-span Height (inches) (inches) 58 59 61 59.5 61 59 64 64 66 67 65 63.5 66 66 67 69 69 71 70 67.5 70.5 73 70 71 (a) Describe which variable you think should be the explanatory variable and which variable should be the response variable. Explain your reasoning. 25 Aa 69 71 70 67.5 70.5 73 70 71 (a) Describe which variable you think should be the explanatory variable and which variable should be the response variable. Explain your reasoning. (b) Draw a scatter plot of the data. Be sure to label your axes with the appropriate variable name. You may draw the graph by hand using graph paper or download this document which contains an appropriate coordinate system->ApelndexAxes.pdf ApelndexAxes.docx (c) Explain the pattern you see in the scatter plot. Do the variables seem to have a linear relationship? Would you say that the slope of the best-fit-line is positive or negative? Do there appear to be any unusual data values? (d) Write down the equation of the line of best fit. Be sure to use the correct notation (hint -> "y-hat"). and save the file as a par. 1. Ane Index is a measure of the ratio of a human's arm span relative to their height. There are hypotheses in some sports that athletes with a unusually high Ape Index have an advantage that explains their dominance in the sport. Micheal Phelps, the most decorated Olympic swimmer of all time (28 medals), is one such example. The data set below contains measurements of the heights and arm spans of 12 adult humans. Arm-span Height (inches) (inches) 58 59 61 59.5 61 59 64 64 66 67 65 63.5 66 66 67 69 69 71 70 67.5 70.5 73 70 71 (a) Describe which variable you think should be the explanatory variable and which variable should be the response variable. Explain your reasoning. 25 Aa 69 71 70 67.5 70.5 73 70 71 (a) Describe which variable you think should be the explanatory variable and which variable should be the response variable. Explain your reasoning. (b) Draw a scatter plot of the data. Be sure to label your axes with the appropriate variable name. You may draw the graph by hand using graph paper or download this document which contains an appropriate coordinate system->ApelndexAxes.pdf ApelndexAxes.docx (c) Explain the pattern you see in the scatter plot. Do the variables seem to have a linear relationship? Would you say that the slope of the best-fit-line is positive or negative? Do there appear to be any unusual data values? (d) Write down the equation of the line of best fit. Be sure to use the correct notation (hint -> "y-hat").
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