# Light through the Water: Depth Light Intensity (meters) ```Light through the Water: Some college students collected data on the intensity of light at
various depths in a lake. Here are their data:
Depth
(meters)
Light Intensity
(lumens)
5
168.00
6
120.42
7
86.31
8
61.87
9
44.34
10
31.78
11
22.78
1. Using your graphing calculator, enter the two lists in your calculator and perform linear
regression. Find the line of best fit and correlation coefficient for this data.
a. Line of Best Fit: ____________________ Correlation Coefficient: _______
2. With this correlation, would you be willing to use your line of best fit to make
predictions?
3. Make a residual plot of your data. What is your residual plot telling you?
4. Create a scatter plot of the original data. What type of model does your scatter plot
suggest?
5. Use your calculator to fit a function to this data.
```
{"ft_lang_label":"__label__en","ft_lang_prob":0.8530922,"math_prob":0.9072071,"size":814,"snap":"2022-05-2022-21","text_gpt3_token_len":209,"char_repetition_ratio":0.13333334,"word_repetition_ratio":0.0,"special_character_ratio":0.2997543,"punctuation_ratio":0.15819208,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.95995104,"pos_list":[0,1,2],"im_url_duplicate_count":[null,2,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-23T02:10:25Z\",\"WARC-Record-ID\":\"<urn:uuid:94af7cbf-89e2-4d54-9729-c752d7b4e661>\",\"Content-Length\":\"48361\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:7ebe024e-7e62-47f6-8145-f0cf4e4d107e>\",\"WARC-Concurrent-To\":\"<urn:uuid:0a1fc23c-cd31-46cf-80f6-761b6a546192>\",\"WARC-IP-Address\":\"104.21.72.58\",\"WARC-Target-URI\":\"https://studylib.net/doc/15164952/light-through-the-water--depth-light-intensity--meters-\",\"WARC-Payload-Digest\":\"sha1:X5J2YKB2QFA5K3X262WRYCRPWSV24REH\",\"WARC-Block-Digest\":\"sha1:DQC5WQJ2HQ4HGMYX5UXVNWGVPEFCC4VG\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662552994.41_warc_CC-MAIN-20220523011006-20220523041006-00404.warc.gz\"}"}