The valence of a song is measured from 0 to 10 and detects the musical positiveness conveyed in the song. Tracks with high valence sound more positive (e.g. happ with low valence sound more negative (e.g. sad, depressed, angry). The valence was computed for 42,000 songs on Spotify in the genres of Techno, Techhouse, Trance, Trap, Psytrance, DnB, Hardstyle, Underground Rap, Trap Metal, The table below shows the number of songs with a given valence measurement. Valence 1.5 2.5 4.4 5.3 6.3 6.7 7.7 8.7 9.7 Number of songs 3557 3175 2388 2078 1579 1438 1023 651 245 Source: Kaggle (a) Based on a scatter plot of the data in the table, why is a linear model appropriate? The scatter plot suggests a steady, ---Select--- with a ---Select--- slope. (b) Find the linear model that gives the number of songs with a given valence, where v is the valence, for 0 ≤ v ≤ 10. (Round all values to two decimal pla L(v) = ---Select--- 8 (c) The constant rate of change for the model is (d) Use the model to estimate the number of extremely sad/negative songs with valence 0.5. (Round your answer to the nearest integer.)
The valence of a song is measured from 0 to 10 and detects the musical positiveness conveyed in the song. Tracks with high valence sound more positive (e.g. happ with low valence sound more negative (e.g. sad, depressed, angry). The valence was computed for 42,000 songs on Spotify in the genres of Techno, Techhouse, Trance, Trap, Psytrance, DnB, Hardstyle, Underground Rap, Trap Metal, The table below shows the number of songs with a given valence measurement. Valence 1.5 2.5 4.4 5.3 6.3 6.7 7.7 8.7 9.7 Number of songs 3557 3175 2388 2078 1579 1438 1023 651 245 Source: Kaggle (a) Based on a scatter plot of the data in the table, why is a linear model appropriate? The scatter plot suggests a steady, ---Select--- with a ---Select--- slope. (b) Find the linear model that gives the number of songs with a given valence, where v is the valence, for 0 ≤ v ≤ 10. (Round all values to two decimal pla L(v) = ---Select--- 8 (c) The constant rate of change for the model is (d) Use the model to estimate the number of extremely sad/negative songs with valence 0.5. (Round your answer to the nearest integer.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The valence of a song is measured from 0 to 10 and detects the musical positiveness conveyed in the song. Tracks with high valence sound more positive (e.g. happy, ch
with low valence sound more negative (e.g. sad, depressed, angry).
The valence was computed for 42,000 songs on Spotify in the genres of Techno, Techhouse, Trance, Trap, Psytrance, DnB, Hardstyle, Underground Rap, Trap Metal, Emo
The table below shows the number of songs with a given valence measurement.
Valence
1.5
2.5
4.4
5.3
6.3
6.7
7.7
8.7
9.7
Number of songs
3557
3175
2388
2078
1579
1438
1023
651
245
Source: Kaggle
(a) Based on a scatter plot of the data in the table, why is a linear model appropriate?
The scatter plot suggests a steady,---Select---
with a ---Select--- slope.
(b) Find the linear model that gives the number of songs with a given valence, where v is the valence, for 0 ≤ v ≤ 10. (Round all values to two decimal places.
L(v) =
---Select---
C
(c) The constant rate of change for the model is
(d) Use the model to estimate the number of extremely sad/negative songs with valence 0.5. (Round your answer to the nearest integer.)
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