# 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.

## Answer to relevant Questions

Consider the accompanying contingency table, which presents the results of an advertising survey about the use of credit by Martan Oil Company customers. a. How many customers were surveyed? b. Why are these bivariate data? ...As summer heats up, Americans turn to ice cream as a way to cool off. One of the questions asked as part of a July 2009 Harris Poll was, “What is your favorite way to eat ice cream?”The study included 2177 U.S. ...These data were generated using the equation y = 2x + 1 A scatter diagram of the data results in five points that fall perfectly on a straight line. Find the correlation coefficient and the equation of the line of best fit. Lakes are bodies of water surrounded by land and may include seas. The accompanying table lists the areas and maximum depths of 32 lakes throughout the world. a. Draw a scatter diagram showing area, x, and maximum depth, y, ...A and B are independent events, and P(A) = 0.5 and P(B) = 0.8 .Find P(A and B).Post your question