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Dropdown 1: 4
Dropdown 2: no longer be positively correlated
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
32% (02:15) correct
68%
(02:37)
wrong
based on 3159
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For a certain electronics retailer during each of eight days, both of the graphs show the number of televisions sold and the number of extended warranties sold (whether for televisions or for any other products sold at the store). The scatterplot also includes a trendline that shows the correlation between the daily numbers of televisions and warranties sold.
Select from the drop-down menus the options that complete the statement so that it is accurate based on the information provided.
Among the days represented in the graphs, without the data for Day , the daily numbers of televisions and extended warranties sold would .
ID: 700244
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Dropdown 1: 4
Dropdown 2: no longer be positively correlated
12 Feb 2024, 10:09
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i believe there is a error in the answer of this question, Abhivas chetan2u ... if we exclude point 6, the correlation will increase (from 0.047 to 0.213. see table and graph attached), making for instance the selections "Day 6" and "still be positively, though more strongly, correlated" a valid set of answer
Attachments
table2.png [ 20.83 KiB | Viewed 22762 times ]
4d9cfcac-5705-4b31-9ec8-a27c020c0c11.png [ 99.29 KiB | Viewed 22796 times ]
Abhivas
Note that the correlation depicted in the table is not positive correlation. Positive correlation means that if one variable increases, the other increases too and if one decreases, the other decreases too. But what we see is a predominantly negative correlation. When television bar increases/decreases, the warranty bar decreases/increases in most data points. The exception is Day 4 when both decrease together. If I were to remove day 4, the table will depict a negative correlation.
The scatter plot has all the points and the trendline showing positive correlation only because of the first point on the left (circled in Red). This point is the data of Day 4. Remove this point and your trendline changes to the one shown in green. It is negatively correlated. (shown in the attachment)
Hence the ANSWER here will be 'Day 4' and 'No longer positively correlated'.
This question is discussed here on video:
Attachments
Screenshot 2024-03-09 at 2.38.07 PM.png [ 14.92 KiB | Viewed 20605 times ]
