The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant  linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places.   Ticket Price Attendence 6 140 10 129 14 126 18 164 22 150 26 179 30 186   Ho: ρ = 0 Ha: ρ ≠ 0 Find the Linear Correlation Coefficient     r =  Find the p-value    p-value =    The p-value is Greater than αα Less than (or equal to) αα   The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho   The conclusion is  There is a significant linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant  linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places.

 

Ticket Price Attendence
6 140
10 129
14 126
18 164
22 150
26 179
30 186

 

Ho: ρ = 0
Ha: ρ ≠ 0

Find the Linear Correlation Coefficient
    r = 

Find the p-value
   p-value =   

The p-value is

  • Greater than αα
  • Less than (or equal to) αα

 

The p-value leads to a decision to

  • Reject Ho
  • Accept Ho
  • Do Not Reject Ho

 

The conclusion is 

  • There is a significant linear correlation between ticket price and attendance.
  • There is a significant negative linear correlation between ticket price and attendance.
  • There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.
  • There is a significant positive linear correlation between ticket price and attendance.
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