The height (in inches) and weight (in pounds) of 25 randomly selected baseball players are in the table below. a) State

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The height (in inches) and weight (in pounds) of 25 randomlyselected baseball players are in the table below.
a) State the random variables.
rv X = Select an answer a randomlyselected baseball player the weight the meanweight the height all baseball players the meanheight of Select an answer all baseballplayers a randomly selected baseball player the meanweight the weight the mean height theheight
rv Y = Select an answer a randomlyselected baseball player all baseball players the meanheight the weight the height the meanweight of Select an answer the meanheight the mean weight the height theweight all baseball players a randomly selected baseballplayer b) Make a scatterplot of X versus Y in StatCrunch (optional). Whydo we wish to sketch a scatterplot?
Select an answer To verify that a linear model isappropriate and to look for outliers. There is no reason tosketch a scatterplot.
c) Find the equation of the best-fitting line (the leastsquares regression equation).
Round values to 2 decimal places.
Include the restricted domain.
equation: ? N s μ Y X̄ Ŷ n σ p̂ p X = + *X
restricted domain: inches<= X <= inches
d) Interpret the slope from part c in the context of this problem.(Pay attention to the units)
e) Interpret the Y-intercept from part c in the context of thisproblem. Include units.
Does it make sense to interpret the Y-intercepton this problem?
Why or why not? Select ananswer yes, since X = 0 is between Xmin and Xmax yes,since X = 0 is not between Xmin and Xmax yes, since Y = 0 isbetween Ymin and Ymax yes, since Y = 0 is not between Ymin andYmax no, since X = 0 is between Xmin and Xmax no, since X= 0 is not between Xmin and Xmax no, since Y = 0 is betweenYmin and Ymax no, since Y = 0 is not between Ymin andYmax f) Should you use the regression equation to predict the weight ofa randomly selected baseball player that has a height of 75inches?
Select an answer yes, this X-value isbetween Xmin and Xmax yes, you can use the regression equationfor any value of X no, this X-value is not between Xmin andXmax Should you use the regression equation to predict theweight of a randomly selected baseball player that has a height of82 inches?
Select an answer yes, this X-value isbetween Xmin and Xmax no, this X-value is not between Xmin andXmax yes, you can use the regression equation for any value ofX Looking at your answers above, predict theweight for the one above that it made sense to do so.
Make sure you use the storedequation and not the rounded equation from partc.
Round final answer to 2 decimalplaces.
g) Compute the residual for the following ordered pair in thedata: (72, 180).
Make sure you use the storedequation and not the rounded equation from part c.
Round final answer to 2 decimalplaces.
The residual for the baseball player with aheight of 72 inches is Interpret what this value means in the contextof this problem.