A music critic was interested in whether particular variables measured on a song change over time. Two variables the critic considered were a song’s Tempo (in bpm) and a song’s Danceability. We will use the songs written before the year 2000 from the original SpotifySample data set. The data set that you will use to complete this investigation is called SpotifyB2000 and consists of 483 songs. Write the least-squares regression line equation describing Year and Danceability using proper notation and values. Interpret the slope of the regression line for Year and Danceability in context. Would the interpretation of the y-intercept for Year and Danceability be meaningful? If so, interpret it. If not, state why not in one sentence. Calculate and record the coefficient of determination value r 2 for Year and Danceability and interpret this value in context. State the hypotheses for the test of the slope. Write the p-value found in the output from (n), and use the p-value provided in the output to state your decision in one sentence. In another sentence, draw a conclusion for this test in context.
A music critic was interested in whether particular variables measured on a song change over time. Two variables the critic considered were a song’s Tempo (in bpm) and a song’s Danceability. We will use the songs written before the year 2000 from the original SpotifySample data set. The data set that you will use to complete this investigation is called SpotifyB2000 and consists of 483 songs.
Write the least-squares regression line equation describing Year and Danceability using
proper notation and values.
Interpret the slope of the regression line for Year and Danceability in context.
Would the interpretation of the y-intercept for Year and Danceability be meaningful? If
so, interpret it. If not, state why not in one sentence.
Calculate and record the coefficient of determination value r
2
for Year and Danceability
and interpret this value in context.
State the hypotheses for the test of the slope.
Write the p-value found in the output from (n), and use the p-value provided in the output
to state your decision in one sentence. In another sentence, draw a conclusion for this test
in context.
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