benchmarks.wiki / Public workspace
..······.......···········...........···:::::::::::::::···········::::::::::::::::::::::----=========--:::::·······.
........ ..............······::::::::·······························:::---:::::::::::------::::·····........
........·········............................. .···--------::::::············............
..··---------:::·······.........
..··--=====---::···..........
..··-===++===--:··....
..·:==++++++==-::·...
..·:=++*****++=-:··..
...·:=+**####*++=-:·... ..
..········... ........ . ...··:::::::···......··:=+*##%%##*+=--:·... ..........
..··::::::··. ..·::::::··... ..·:-==+*****+==-::······-=+*#%%%%%#*+=-:··........·······...
..··::::··. .·:-=+**++=-:··......·:-+*%@@@@@@@%*+=-:::::--=+*#%@@@@%#*+=-:··....···:::---::··..
..... ............······::::::---::::::::::················::::::::::::::::--==++*###%%###**++===++****+=-:·.
......····::::::::::::::····················..........·····::::::::---==+++*****+++==---==+++===-:·.
.........············....... ............... ···::::::::::---=========---::::-------:·.
.··::::::::::::::-------::::····:::::::··.
.··:::::::········::::::·····...········..
.··----:::··············.................
..··-----::···..............
..·:====--::··....
...::=====--::·...
...····... ......... ...···::::::···..........:::+++++==-:··..
..······.. .··::--:::··.. ..·::-=+******++=-::······:::+*****+==-:··.. ........
..····.. .·:-=+**++=-::·....··:-+*%@@@@@@@@%#*+=--::--==+**####*++=-:·... ....·······....
.....····::::----------::::::::·················:::::-----:::::---=++*#%@@@@@@@@@%##*****##%@@%#*+=-:·.
......····::::--------:::·····.........................··········:---==+**#%@@@@@@@%%#***++**#%@@%#*+=-:·.
.............·············..... ...... ....···::--==++*##%%@@%%##**++++++*#%@%#*+=-:·
..··:::---==++**#####**++======++*##**+=-·.
··:::::---==+++++++++==-------=++++==-:·.
··::::::::----=====---:::::::::-----::·..
··:::·····::::::::::::··········:::···..
..··:::·················.................
...··:::····............... ......
....... ....·..... . ...··········.... ...···-:::··....
...··.. ..·::----::··........·:--=++***++=--:··......····::=---::··.. .........
...··.. .·-=+****+=-::··..··:-=+#%@@@@@@@%#*+=-::··:::--=======-::·.. ......····.......
....····:::-----==------:::::::::··············:::---=======------==+*#%@@@@@@@@@@@%#*++=++**#@@@@@%#*+=:·.
.....·······::::--------:::····......................·····::::::::··:::=+*#%@@@@@@@@@@@%#**++++*#%@@@@@%#*+=:·.
..............············..... .............:::++*#%@@@@@@@@@@%##*+++**#%%@@@@%#*+=:·.
...::=+*##%@@@@@@@@@%#**++++**#%%@@@%#*+-:..
..·:==+**#%%@@@@@%%#**++===+++*##%%#*+=:·.
..··-==++**#######**++==----===++**++=-:·.
..··----==+++++++++==--:::::::---==--::·..
..··:::::-----------::··········:::::··...
··:·······:::::·····..........·······...
..... ...····.... .......·...... ··.·····.........................····....
....... .·::-----::··.. ..··::--===--::··.... .....······:···.... .............·····....
...... .·:-++****+=-:··....··:-=+*##%%##*+=-:···....···::-----::··... ....··············....
...·····:::-----===--------:::::::::::::···::::--==++*****++==------==+*#%@@@@@@@%#*+=-::::--=*#%@@@@@@%#+-:..
....·······:::::-----::::·······....··.........····:::--------:::::::::--#%@@@@@@@@@%#*+==---==+*%@@@@@@@%#+-·.
..............········...... .....................-==%@@@@@@@@@@%#*++===++*#%@@@@@@@%*=:·.
..·==%@@@@@@@@@@@%#*++++++**#%@@@@@@#+-:·.
.·-=%@@@@@@@@@@@%#*++===++**##%%%%#*=:·.
..--#%%@@@@@@@%%#*++=======+++****+=-:·.
..:-**##%%%%%##**+==---:::---======-:··..
..::=++++***+++==--:::·····::::----:::··..
...··-----------:::············::::::::···..
... ....····.... . ..... .....···::··············.....······::::::::···.
...... ..·::-----::·.. ...····:····... .....······..···..............··········::::::::···..
...... .·:-=+***++=-:·.. .··:--=====--::·.... ....··::::::::··... ....··::::::::::::::····....
....··::::---------------==========-----::---==+**##%%##*+=--:·····::-=+*##%%##*+=-:·.....·:-=*#%@@@@@@%#+-·..
.....·····::::::::::::::·····:::::::··········::---=======--::·······::-==%@@@@%%#*+=-::··::-=+*%@@@@@@@%*=:·.
...............................................··········..........··=++@@@@@@%#*+==-----=+*#%@@@@@@%#+-·.
···+*@@@@@@@@%#*+==-===++*#%%%%%#*+=:·.
··+*@@@@@@@@%#*++======++***#***+=-:..
··+*@@@@@@@@%#*+==------===++++==--:·..
··=+@@@@@%%##*+==--:::::-----===---::···..
··-=#####**++==--:::···:::::----====--::··.
...::======----:::·······::::----======--:·.
........... . ...........···::::::···········:::::::-----====--::·.
...... ..··::---::··.. ........... .....·········...··........····:::::-----::::::::::::··..
...... .·:-==+++==-:·.. ..··::::::··... ....··:::::::::··... ...··::---===---::···..........
..··::---------=====++***####**++==------==+*###%##**+-:·.. .·:-==++++==-:·.. ..·:=+#%@@@@@@%*+=:·.
....···::::::::::::::------------::::::::::--===++===-::·... ..··:--==##**+=-:··...··:-+*#%@@@@@%*+=:·
........................··...............··········.... ...···+++@%%#*+=-::::::-=+*##%%%%#*+-:·.
·::**@@@%#*+==------==++*****+=-:·.
::**@@@@%#*+==-------===+++==--:··..
::**@@@@%#*+==--:::::----====----:::·····..
·:++@@%##*+==--::::::::----======++===--:·..
··==#**++==--:::::::::----===+++**#**+=--:·.
...::===----:::::::::-----====++++***++=-:·.
........... . ..................···:::::::::::------------------===--::·..
...···:::::··... ........... ......·············..........···::--======---::·············..
.... ..··:--===--::·. ..·······..... ....··:::-----:::··... ..··:--===+===-::·.. .......
..·::------====++**#%%%@@%%##*+=--::::--==+*****++=:·. ..·:-====--:·.. ..·-=+#%@@@@@%#+=:·.
..···:::::::::---===++++++==--:::·····::---====--::·.. .··::-----+=-:··....··:-=+*#%%%%#*+-:.
.............···············...........·········... ...·····===*+=-::····::-==+****++=-:·.
:::++#*++=-:::::::--======--:··. ..
::*+%#*+=--:::·::::---------::::··::::::··.
::++%#*+=--:::··::::----=======+++*+++=--:·.
··==**+==--:::::::---===+++***###%%%#*+=-:.
··--+==------------====++++***###%%#*+=-:·.
...:·---------=================++++++=-::·.
............ . ....................... ...·::::--===++++===--:::·····:::-:::··.
...···::::···... .....................·····::::::····..... ...··::-==++++==-::·.. ..·····...
..·:::-----::·.. ...·······..........··::---====--::··.. ..··:--==+++=--:·. .··:::··.
.··:::-----==++*##%%@@%%#*+=-:··...··::-==++++=-:·. .·:-====--:··.. ..·:-=+*#%@%%#*+-:.
..···:::::::--===+++++++=--:···....···::------:··. ..·::------::::··...··::-=++***+=-:·.
..........······:::::····.............······.... ...·······--:-::······::---==---:··. ..···.
···--=-::·······::::--:::::·······::-----:··.
··--=-::········:::----======+++**#**++=-:·.
··--=--:::::::::--===+++***##%%%@@@%#*+-:·.
·.-:=---------====+++****###%%%@@@@#*+-:·.
..::=======+++++++++++++++++*******+=-:·.
...··--==++++**+++==---:::::::---===-::·.
.............. .......... · ....................... ..·:--==++++++==-:··.. ...··::-::··.
...··:::::···... .......................···:::::::::···... .·::-==++++=--:·. .·::---:··.
..·::----::··.. ..·········........···:--==+++==--:·.. .··:-==++==-::·. ..·:-===--:·.
...····:::-==+*#####*+=-:·.. ..·:-=====--:·. .·:-==+++==-::··.....·::-=+****+=-:·. ......
.....···:::--===+===--:··.. ..··::::-::··.. ..·::------::··.·.....··::------:··. .··::::·.
.......············.... .....··..... ...········..··.·.......···:::::····.....··::-=====--:·.
...·.·.......··::::------====++**##%#*+=-:·.
..··:······:::--==+++***###%%%@@@@@%*+=:·..
..:·-------===+++****###%%%@@@@@@%%*+-:·..
..::==+++++******+++++****#######**=-:·.
..::++********++==--------===++++==-:·.
...::++*****++=--:··......··::---==-:··.
....····............................ · .........·····...... .··-=+++++==-:·.. ..·:--===-:·..
..··::::::··.... ......·····...........···:::-----:::·... .·:-==++==-:··. .·:-==++=-:·.
..··::---::·.. ..··::::::::···.....··::-==+++++=-:··. .·:-=+++++=-:·. .·:-=+***+=-:·.
..·::-=+++++=-:·.. .·:--====--:·. .·:-=+***++=--:··.....···::----::·.. .·:--==--:·.
..··::-------:··.. ..··::::::··.. .··:--===--::··.. ...·········.........·::-=+**++=-:·.
....·······.... ........... ....·······.... ...···:::::-------==+++**####*+=-:·.
....···:::--===+++***###%%%%%%%%#*+=::·.
..··:----==++++***####%%%@@@@@%%##*=-:·..
..:-+++***************###%%%%##**+=-:·..
··-=#####***++====--===+++*****+==-:·.
.·-=####**+=--:·······::--==+++==-:·..
...--***++=--:·.. .··:--=====-:·..
.....···........ ............ .·.....········.... ·::++++=--:·. .·::-==++==-:·.
..··::::···.. ...···········.......···::------::··. .··==+++==-:·. .·:-==++++==:·.
..··:::··. .··:--=====--::··....··::--=====-::·. .·:=+*****+=-:·. .·:-=++***+=-·..
.·:--===--:·.. .·:-==++==-:·. .·:-=+*****+=-::·.. ...·······.... ..··:-=++***+=-:··.
..·:::::::··.. ..··::::::··.. ..·::------::··.. ...···::::::::::---==+++*****+==-:·.
....····.... ........... .....···...... .···::---===++++*****######***+=-:··..
··---===++++***####%%%%%%%##**+==-:··..
..--+*************####%%%%%##*++=-:··...
··==###***+++=====++***####**++=-::·...
··==##**+==-::::::--==++****++=--:·...
··==**+=--:·......··:--=++++++=-::·..
..·--++=-:··. .·:--=+++++=--:·..
.......... ....................:..·······.... ...---++=-:·. .·:-=+++++==-:·.
...··.... ..··::::-::::···......····:::::::·.. ..·::--**++=-·.. .·:-=+++++==-:·.
...... .·:-=+**##**+=-:·.. ...··::---::··. .·:-=**####*+-:·. .·:-=+++*++=-:·.
.·:--==--:·.. ..·:-==+++=-::·. ..·:-=++**++=--:·. ...············::::--==++++++++=-:··.
.··::::···.. ..··:::::::··.. ..··::::::::··... .··:::----======+++++++++++++===-:··..
.......... ........... ............. ···--====++++*****#####***+++==--::··...
...--++++++++****#########**++=--::··.....
··==***+++++++++**#######**+=--::··.......
··==*++==------==++**####**+=--:···........
··=-+==-::····::--=+**###**+=--:···........
··--=-::·......··:-=+******+=--:···........
···-:=-:·.. ..·:-=+*****+=--:··.........
.....·····....... ....:........ ...···---=-:·. .·:-=++****+=-::·..........
.··:--======-::·... ...·······.. .··:--===-+=-:·. .·:-=+****+=-:··... ......
.:-=*#%@@@%#*+-:·. .··::--::··. .·:-=+*#####*+-:·. .·:-=++**++=-:·.. ....
..·:----:·.. .·::-=++++==-:·.. ..·::-=====--::·.. ...···::::-----------============---:·..
..··:::··.. ...··:::::::··... ...···::::····............···----======+++++++++++===---::::··...
......... ........... ..........................:::====+++++*********++==--:::····....
···--++===++++***#####**++=--:····.......
··--+=======++***#####*++=--:····.·.......
··-:=--:::---=++*######*+==-:···········...
··::-::····::-=+**#####**+=-::············.
·.:·:··....··:-=+*##%%##*+=-::·····:::::··.
··.:·:·.. ..··:-=+*##%##*+=--:····:::::::··.
...··········... ..·..... ...·······::··.. .·:-=+*#####*+=--:····::::-:::·.
.·:-==++**++=-:·. ..·····... ..·:--=====-:::·. .·:-=+*####*+=-::·····:::--::·.
.·:-+*#%@@@%#*+-:. .··:--==--:··. ..·:-=+*#####*+-:·. .·:-=+*****+=-:···.···::::::·.
.··:::::·.. ..·:--==++==--:·.. ..··:::----:::···.........····::::-------------------------::::··..
..······... ....···::::···.... ....····························:---===============---::::·····...
......... ......... ................................:::======+++++++++==--:::···.......
...::--====+++*****++==-::···.........
..::----==++***##***+=--:··............
..··:::--==+**#####**+=-::··.....····....
..··:::::-=++*##%%##*++=-:··············..
..·.····::-=+*#%%%%%#*+=-::······::::::··..
...·.·..··:-=+*#%%%%%##*+=-::····::-----:··.
...··:::::::··.. ..·.. ..·········..·.......·:-=+*#%%@%%#*+=-:::··::-====--:·.
.··:-==++*++==-:·. ..·······.. .··:-==++===-:··... ..·:-+*#%%%%%#*+=--:::::--==+==--:.
...··:-=++*####*+=:·. .·:-=+++==-:··.. ..·:-=+*#%%##*+=:·.. ..·-=+*#%%%%#*+=-:::·::--=++++=-:·.
..···:···.......··::-------::··.. ...···::::::::::·············::::::::-------------------------:::···...
..······.............····...............···································---------------:::::::······....
....... ...........................................···---========---:::·····.......
...··--====++++===--::··........
..··--===+++*+++==-::··....
..··--==++******+==-:··.... ...
..··:--=+**####**+=--:··.............
..··:--=+*##%%%##*+=-::·........···....
.. ..::-=+*#%%%%%%#*+=-:··.....····:···..
..··::::::···.. .....· ..···::::····... ...·:-=+*#%%@@@%#*+=-::·······:::--::··.
...·:--=====--:·. .··::::···.. ..·:-==+++++==-:··...···:-=+#%%@@@@%#*+=-::····:::-===--:··.
.....·::--====--:·. ·:-=+++++=-:··.. ..··:=+*#%@@%%#*+=-:·....·::=+*#%@@@@%#*+=--::··::--=++++=-:·..
███╗ ███╗███╗ ███╗██╗ ██╗ ██╗ ██████╗ ██████╗ ██████╗
████╗ ████║████╗ ████║██║ ██║ ██║ ██╔══██╗██╔══██╗██╔═══██╗
██╔████╔██║██╔████╔██║██║ ██║ ██║█████╗██████╔╝██████╔╝██║ ██║
██║╚██╔╝██║██║╚██╔╝██║██║ ██║ ██║╚════╝██╔═══╝ ██╔══██╗██║ ██║
██║ ╚═╝ ██║██║ ╚═╝ ██║███████╗╚██████╔╝ ██║ ██║ ██║╚██████╔╝
╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--8014▌ posts · files
MMLU-Pro / 8014 / A researcher is hoping to find a predictive linear relationship between the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A researcher is hoping to find a predictive linear relationship between the explanatory and response variables in her study. Accordingly, as part of her analysis she plans to generate a 95% confidence interval for the slope of the regression line for the two variables. The interval is determined to be (0.45, 0.80). Which of the following is (are) true? (Assume conditions for inference are met.) I. She has good evidence of a linear relationship between the variables. II. It is likely that there is a non-zero correlation (r) between the two variables. III. It is likely that the true slope of the regression line is 0.
category
math
options
- I only
- I, II, and III
- None of the above
- I and II only
- III only
- II and III only
- I and III only
- Only II is likely, while I and III are not
- II only
- I and II are likely, but III is not
src
ori_mmlu-high_school_statistics
Discussion
No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
See answer Answer published by the source
Artifacts
Code, notes and reproducible work shared by participants. Files are served from a separate origin.
No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Source and history
- upstream_id / Original problem ID
- 8014
- task_id
75fe613e-ab62-5d8c-bf2f-434b8fd6ac9a- task_key
default--test--8014- task_revision_id
- 1
- config / split
- default / test
initial import