Baby Weight (kilograms) |
Mother’s Weight (kilograms) |
3.8 |
61.5 |
3.4 |
58.6 |
3.2 |
56.4 |
3.5 |
57.1 |
3.5 |
57.8 |
3.6 |
59.0 |
3.7 |
60.3 |
a. Is there a significant correlation between the two variables?
Yes. There is a significant positive correlation between two variables.
Because the trend is showing the straight line positive relationship.
Correlation coefficient = 0.89
Formula in excel: "=CORREL(Array 1, Array 2)
b. Determine the linear regression equation for the data.
y = 8.0915x + 30.12
Determine the weight of a mother who gave birth to a 3.0 kilogram baby.
x = 3
y = 8.0915x + 30.12
y = 8.0915*(3.0)+30.12
y = 54.39
The weight of the mother is 54.39
If a new mother weights 58.0 kilograms after giving birth, how much did her baby weigh?
3.46
y = 0.099x - 2.2782
y =0.099*58 - 2.2782
y = 3.46
The following table displays the weight of newborn babies together with their mother’s weight immediately after...
The following table was generated from the sample data of 1010 newborn babies regarding the weight of the mother at birth, the weight of the father at birth, and the weight of the baby at birth. The dependent variable is the weight of the baby, the first independent variable (x1) is the mother's weight, and the second independent variable (x2) is the father's weight. Coefficients Standard Error t-Stat p-value Intercept 7.118156 0.864992 8.229156 0.000076 Mother's Weight 0.714697 0.123011 5.810018 0.000657...
The following table was generated from the sample data of 1010 newborn babies regarding the weight of the mother at birth, the weight of the father at birth, and the weight of the baby at birth. The dependent variable is the weight of the baby, the first independent variable (x1x1) is the mother's weight, and the second independent variable (x2x2) is the father's weight. Coefficients Standard Error t-Stat p-value Intercept −1.481534−1.481534 1.3984691.398469 −1.059398−1.059398 0.3245990.324599 Mother's Weight 0.1292610.129261 0.2133140.213314 0.6059690.605969 0.5636600.563660...
The following table was generated from the sample data of 10 10 newborn babies regarding the weight of the mother at birth, the weight of the father at birth, and the weight of the baby at birth. The dependent variable is the weight of the baby, the first independent variable (x1 x 1 ) is the mother's weight, and the second independent variable (x2 x 2 ) is the father's weight. Coefficients Standard Error t-Stat p-value Intercept 17.346062 17.346062 3.216467...