Perform correlation and linear regression analysis.   18) There is a popular belief that taller individuals also tend to weigh more. The table below provides the heights and weights of 10 individuals:       Height (cm) 180 176 144 195 159 185 166 173 149 168 Weight (kg) 87 65 52 94 87 79 59 64 45 77     a) Use the calculator to find the correlation coefficient r between heights and weights. Use a significance level of \alpha = 0.05.

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  • Perform correlation and linear regression analysis.
     
    18) There is a popular belief that taller individuals also tend to weigh more. The table below provides the heights and weights of 10 individuals:
     
     
     
    Height (cm) 180 176 144 195 159 185 166 173 149 168
    Weight (kg) 87 65 52 94 87 79 59 64 45 77
     
     
    a) Use the calculator to find the correlation coefficient r between heights and weights. Use a significance level of \alpha = 0.05.
     
     
     
    b) Use Table A-6 to find the critical values for r.
     
     
     
    c) Determine if there is significant linear correlation in the population. Clearly state the conclusion.
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