Consider the saying, Build it and they will come. This notable saying from a movie may very

Consider the saying, €œBuild 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 €œparking spaces€ as the dependent variable, y, and €œsquare 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 €œparking spaces€ as the dependent variable, y, and €œnumber 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 €œnumber of stores€ as the dependent variable, y, and €œsquare 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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Parking Spaces 3128 1500 270,987 258.761 1,600,350 210743 880,000 2,700,000 Number of Stores 65 43 120 59 95 300 7100 15,000