b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? Positive relationship Does there appear to be any outliers and/or influential...


b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?<br>Positive relationship<br>Does there appear to be any outliers and/or influential observations?<br>Observation 9 (U.S.) appears to be an observation with high<br>leverage and may be<br>very influential in terms of fitting a linear model to the<br>data.<br>c. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.<br>= 49.076<br>(to 4 decimals)+.1230<br>(to 4 decimals) Gold Value<br>d. Suppose that after looking at the scatter diagram in part (a) that you were able to visually identify what appears to be an influential observation. Drop this observation from the data<br>set and fit an estimated regression equation to the remaining data.<br>= 30.768<br>(to 4 decimals)+.3422<br>(to 4 decimals) Gold Value<br>Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c). Does this approach confirm the conclusion you reached in part (d)?<br>The slope of the estimated regression equation is now<br>as compared to a value of<br>impact on the value of the slope of the fitted line and hence we would say<br>.4652<br>.4652<br>when this observation is included. Thus, we see that this observation has<br>big<br>that it is an influential observation.<br>

Extracted text: b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? Positive relationship Does there appear to be any outliers and/or influential observations? Observation 9 (U.S.) appears to be an observation with high leverage and may be very influential in terms of fitting a linear model to the data. c. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings. = 49.076 (to 4 decimals)+.1230 (to 4 decimals) Gold Value d. Suppose that after looking at the scatter diagram in part (a) that you were able to visually identify what appears to be an influential observation. Drop this observation from the data set and fit an estimated regression equation to the remaining data. = 30.768 (to 4 decimals)+.3422 (to 4 decimals) Gold Value Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c). Does this approach confirm the conclusion you reached in part (d)? The slope of the estimated regression equation is now as compared to a value of impact on the value of the slope of the fitted line and hence we would say .4652 .4652 when this observation is included. Thus, we see that this observation has big that it is an influential observation.


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Jun 01, 2022
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