The scatterplot below shows the association between a variable x and a variable
ID: 3159554 • Letter: T
Question
The scatterplot below shows the association between a variable x and a variable y, with the regression line superimposed. Use the scatterplot to answer this question and the one following. How would you describe the point with x - 400? Having a large negative residual Influential Outlier In the scatterplot of Question 22, what would happen if the point with x = 400 were removed? The slope must become less The slope would not charge The correlation must become lower The slope must become greater In the scatterplot of Question 12. The correlation between X and Y is closest to: -0.95 -0.55 0.55 0.98 For human woman, a pregnancy lasts about 9 months. For other animals, the gestation period (average length of pregnancy) is different. A researcher believes that longer-lived animals generally have longer gestation periods. The researcher measured life expectancy in years and gestation period in days, and did a regression for predicting gestation period from life expectancy. The regression line had intercept -39.5 and slope 15.5, with an R-squared of 72.2%. Use this information for this question and the following two. What is the predicted gestation period, in days, for an animal with life expectancy 10 years? 115 200 3 89 Would you guess that your prediction in Question 25 was reasonably accurate or not, based on the information given in that question? no, because the slope is small. yes, because the slope is positive. no, because we must have been extrapolating. yes, because R-squared is quite high. no, because R-squared is low. Humans have an average life expectancy of 80 years and their gestation period is 260 days. Using the information in Question 25, what is the residual when using that regression equation to predict human gestation period from human life expectancy? 0 -500 500 920 -920Explanation / Answer
22.
The point at x = 400 is far from the other points, so it is
OPTION C: OUTLIER [ANSWER]
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23.
If the point is removed, then we will follow the trend of the other points more, which has less slope (slower to get up from left to right).
Hence,
OPTION A: slope must become less [ANSWER]
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24.
It has a large correlation because of the outlier. The slope is positive, so the correlation is positive, so
OPTION D: 0.96 [ANSWER, D]
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