# Question: Consider the saying Build it and they will come This

Consider the saying, “Build it and they will come.” This notable saying from a movie may very well apply to shopping malls. Just be sure when you build that there is room for not only the mall but also for those that will come—and thus include enough space for parking. Consider the random sample of major malls in Irvine, California.

a. Draw a scatter diagram with “parking spaces” as the dependent variable, y, and “square feet” as the independent variable, x. (Suggestion: Use 1000s of square feet.)

b. Does the scatter diagram in part a suggest that a linear regression will be useful? Explain.

c. Calculate the equation for the line of best fit.

d. Draw the line of best fit on the scatter diagram you obtained in part

a. Explain the role of a positive slope for this pair of variables.

e. Do you see a potential lurking variable? Explain its possible role.

f. Draw a scatter diagram with “parking spaces” as the dependent variable, y, and “number of stores” as the independent variable, x.

g. Does the scatter diagram in part e suggest that a linear regression will be useful? Explain. h. Calculate the equation for the line of best fit.

i. Draw the line of best fit on the scatter diagram you obtained in part

e. j. Do you see a potential lurking variable? Explain its possible role.

k. Draw a scatter diagram with “number of stores” as the dependent variable, y, and “square feet” as the predictor variable, x. l. Does the scatter diagram in part k suggest that a linear regression will be useful? Explain. m. Calculate the equation for the line of best fit. n. Draw the line of best fit on the scatter diagram you obtained in part k.

a. Draw a scatter diagram with “parking spaces” as the dependent variable, y, and “square feet” as the independent variable, x. (Suggestion: Use 1000s of square feet.)

b. Does the scatter diagram in part a suggest that a linear regression will be useful? Explain.

c. Calculate the equation for the line of best fit.

d. Draw the line of best fit on the scatter diagram you obtained in part

a. Explain the role of a positive slope for this pair of variables.

e. Do you see a potential lurking variable? Explain its possible role.

f. Draw a scatter diagram with “parking spaces” as the dependent variable, y, and “number of stores” as the independent variable, x.

g. Does the scatter diagram in part e suggest that a linear regression will be useful? Explain. h. Calculate the equation for the line of best fit.

i. Draw the line of best fit on the scatter diagram you obtained in part

e. j. Do you see a potential lurking variable? Explain its possible role.

k. Draw a scatter diagram with “number of stores” as the dependent variable, y, and “square feet” as the predictor variable, x. l. Does the scatter diagram in part k suggest that a linear regression will be useful? Explain. m. Calculate the equation for the line of best fit. n. Draw the line of best fit on the scatter diagram you obtained in part k.

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