Question
The sales manager of a large apartment rental complex feels the demand for apartments may be related to the number of newspaper ads placed during
The sales manager of a large apartment rental complex feels the demand for apartments may be related to the number of newspaper ads placed during the previous month. She has collected the data shown in the accompanying table. Ads purchased, (X) Apartments leased, (Y) 15 6 9 4 40 16 20 6 25 13 25 9 15 10 35 16 A. Find a mathematical equation that explains the demand for apartments based on the number of ads placed. Use the least squares regression approach. B. Write the estimated regression (using the calculated values for b0 and b1); the estimated regression equation is in the form of: = b0 + b1 X = or Apartments leased = b0 + b1 *(ads placed) = C. If the number of ads is 30, estimate the number of apartments leased with the regression equation = b0 + b1 *(30) = _______ apartments D. Given the data on ads and apartment rentals, find and explain the coefficient of determination. r2 = E. Compute the correlation coefficient. Since r2 = _________ and the slope is positive (or negative); the square root of r2 is the correlation coefficient and the sign (positive or negative) is based on the slope, thus; r = ________.
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