Use the least squares regression line of this data set to predict a value.Tyrone is a PR agent for an up-and-coming band. He wants to convince the band members that being active on social media is good for their careers. He claims that a large social media following typically translates into ticket sales. To prove his point, Tyrone looked up information about several successful bands.He compared the number of social media followers (in millions), x, to the average number of hours it takes these bands to sell out a concert, y.Followers (in millions) Hours4.8 775.3 825.6 468.2 249.0 48The least squares regression line of this data set is:y=–9.269x+116.388How long does this line predict it would take a band with 6.1 million followers to sell out a concert, on average?Round your answer to the nearest integer.
Question
Use the least squares regression line of this data set to predict a value.Tyrone is a PR agent for an up-and-coming band. He wants to convince the band members that being active on social media is good for their careers. He claims that a large social media following typically translates into ticket sales. To prove his point, Tyrone looked up information about several successful bands.He compared the number of social media followers (in millions), x, to the average number of hours it takes these bands to sell out a concert, y.Followers (in millions) Hours4.8 775.3 825.6 468.2 249.0 48The least squares regression line of this data set is:y=–9.269x+116.388How long does this line predict it would take a band with 6.1 million followers to sell out a concert, on average?Round your answer to the nearest integer.
Solution
To predict the average time it would take a band with 6.1 million followers to sell out a concert, we need to substitute x = 6.1 into the equation of the least squares regression line.
The equation is y = -9.269x + 116.388.
Substituting x = 6.1, we get:
y = -9.269(6.1) + 116.388 y = -56.5409 + 116.388 y = 59.8471
Rounding to the nearest integer, we get y = 60.
So, the line predicts it would take a band with 6.1 million followers approximately 60 hours to sell out a concert, on average.
Similar Questions
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