A random sample of 8 mother/daughter pairs provides the following information on height of the mother and the daughter. Here, x denotes the height of the mother in inches and y denotes the height of the daughter in inches.

x

63

67

64

60

65

67

59

60

y

58.6

64.7

65.3

61.0

65.4

67.4

60.9

63.1

a)Find the regression equation for the data point. (Round to two decimal places).

b)Graph the regression equation and the data points using your calculator. Sketch it roughly onto this paper. Do not plot points, just show roughly where they are. But you must give the end values on each axis from the window that you used, and label each axis.

c)Describe the apparent relationship between the two variables under consideration.

d)Interpret the slope of the regression line in term of the data

e)Predict the height of a daughter of a woman whose height is 66 inches

f)Find the coefficient of determination

g)Determine the percentage of variation in the observed values of the response variable explained by the regression and interpret your answer