Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant positive linear correlation between advertising cost and profit . Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 21 4 20 5 15 6 26 7 26 8 33   Ho: ρ = 0 Ha: ρ > 0 Find the Linear Correlation Coefficient     r =  Find the p-value

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Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant positive linear correlation between advertising cost and profit . Use a significance level of 0.01 and round all values to 4 decimal places.

Advertising Cost Profit
3 21
4 20
5 15
6 26
7 26
8 33

 

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

  • Accept Ho
  • Reject Ho
  • Do Not Reject Ho

 

The conclusion is 

  • There is a significant negative linear correlation between advertising expense and profit.
  • There is a significant linear correlation between advertising expense and profit.
  • There is insufficient evidence to make a conclusion about the linear correlation between advertising expense and profit.
  • There is a significant positive linear correlation between advertising expense and profit.

 

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