Height vs Weight - Erroneous Data: You will need to use software to answer these

Question

Height vs Weight - Erroneous Data: You will need to use software to answer these questions.

Below is the scatterplot, regression line, and corresponding data for the height and weight of 11 randomly selected adults. You should notice something odd about the last entry.

You should be able copy and paste the data by highlighting the entire table.

Answer the following questions regarding the relationship.

(a) Using all 11 data pairs for height and weight, calculate the correlation coefficient. Round your answer to 3 decimal places.
r =  

(b) Is there a significant linear correlation between these 11 data pairs?

YesNo    

(c) Using only the first 10 data pairs for height and weight, calculate the correlation coefficient. Round your answer to 3 decimal places.
r =  

(d) Is there a significant linear correlation between these 10 data pairs?

YesNo    

(e) Which statement explains this situation?

The height for the last data pair must be an error.The erroneous value from the last data pair ruined a perfectly good correlation.    Despite the low correlation coefficient from part (a), there is probably a significant correlation between height and weight.All of these are valid statements.

          index height (x) weight (y) inches pounds 1 60 120 2 72 200 3 64 130 4 70 205 5 69 180 6 68 180 7 69 193 8 71 195 9 63 115 10 62 140 11 5.5 160

Explanation / Answer

a) 0.249

b) No

c) 0.945

d) Yes

e) All of these are valid statements.

Option D is correct.

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