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Answer :
For this population at the time of the survey, each extra pound of weight is associated with an average increase in height, as evidenced by the correlation coefficient of 0.7 and the oval-shaped cloud of points in the scatterplot.
The health and nutrition survey provides some important information about the relationship between weight and height in a certain population.
The survey reveals that the average weight for this population is 175 pounds, with a standard deviation of 42 pounds, while the average height is 67 inches, with a standard deviation of 3 inches.
Furthermore, the correlation coefficient between weight and height is 0.7, indicating a positive and moderately strong linear relationship between these two variables.
The scatterplot of height on weight for this population is described as an oval-shaped cloud of points.
This suggests that the relationship between weight and height is not perfectly linear, but rather exhibits some degree of curvature.
This can be seen from the fact that the points on the scatterplot are not tightly clustered around a straight line, but rather form an elliptical shape.
Based on the information provided by the survey, we can estimate the average increase in height associated with each extra pound of weight in this population.
Specifically, we can use the slope of the regression line for height on weight to estimate this relationship.
The slope of the regression line is equal to the correlation coefficient multiplied by the standard deviation of height, divided by the standard deviation of weight.
Substituting the given values into this formula, we obtain a slope of approximately 0.9615.
Therefore, we can conclude that, for this population at the time of the survey, each extra pound of weight was associated with an average increase of 0.9615 inches in height, holding all other factors constant.
This relationship may have important implications for health and nutrition interventions aimed at promoting healthy weight and height in this population.
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For this population at the time of the survey, each extra pound of weight is associated with an average increase in height, as indicated by the positive correlation coefficient of 0.7. The scatterplot of height on weight forms an oval-shaped cloud of points, which suggests a strong relationship between the two variables.
For this population at the time of the survey, each extra pound of weight is associated with an average increase in height. The average weight is 175 pounds with a standard deviation of 42 pounds, and the average height is 67 inches with a standard deviation of 3 inches. The correlation coefficient of 0.7 indicates a positive relationship between weight and height. The oval-shaped cloud of points in the scatterplot of height on weight also supports this positive relationship.
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