Question

A sample of 10 mothers and their first born daughters were asked their heights (in inches). The data were as follows Table of values for Mothers and Daughters heights Mother Daughter 67 67 69 71 67 68 65 65 66 66 62 61 66 67 63 62 61 59 66 66 2a) Using the heights of the mothers as the independent variable and the heights of the daughters as the dependent variable, determine the least squares line for these data. Round values to the nearest tenth. y = + x 2b) What is the value? Round to 4 decimal places 2c) Interpret in the context of the problem. [98.58] percent of the variation in the daughter's height can be explained by the least squares regression line. 2d) What is the r value for the equation? Round to the nearest hundredth. 2e) From r, we determine that there is a (weak/strong) (positive/negative) relationship between the mother's and daughter's heights.

          A sample of 10 mothers and their first born daughters were asked their heights (in inches).  The data were as follows

Table of values for Mothers and Daughters heights
Mother

Daughter

67

67

69

71

67

68

65

65

66

66

62

61

66

67

63

62

61

59

66

66

2a) Using the heights of the mothers as the independent variable and the heights of the daughters as the dependent variable, determine the least squares line for these data. Round values to the nearest tenth. y = 
 + 
 x

2b) What is the 
 value? Round to 4 decimal places 

2c) Interpret 
  in the context of the problem. [98.58] percent of the variation in the daughter's height can be explained by the least squares regression line.

2d) What is the r value for the equation? Round to the nearest hundredth. 

2e) From r, we determine that there is a (weak/strong) 
 (positive/negative) 
 relationship between the mother's and daughter's heights.

Added by Joseline I.

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