Respuesta :
Yes, there is a correlation between the scores on the test and times spent studying and the value of that Correlation coefficient is 0.0657.
Correlation coefficients are used to measure what is the strength of relationship is between two variables. It is represented by r and its always ranges between -1 and 1.
We know the correlation coefficient formula is:
r=[ n×(∑x × y-∑x-∑y) / (n×∑x²-∑x²-n×∑y²-∑y²) ]
The given data in form of Hours X and Scores Y is
Hours X : 08 10 07 13 07 09 09 10 11 8
Scores Y: 60 75 55 83 61 73 80 85 85 86
From the given data, we account that
∑x=92,∑y=723,∑xy=6811,∑x²=878,∑y²=53395,
After putting the values we get,
r=[100×(10×6811-92×723) / [(10×878 - (92)²]×[10×53395-(723)²]
=>r=100×(68110-66516) / [(8780-8464) × (533950-522729)
=>r=159400 / (216×11221)
=>r=159400/2423736
=>r=0.0657
Hence, the scores of the test and time spent has correlation coefficient value as 0.0657.
To know more about statistics, visit here:
https://brainly.com/question/29342780
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(Complete question) is:
The final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam are given below. can you conclude that there is a correlation between the scores on the test and the times spent studying.Hours (x) 08 10 07 13 07 09 09 10 11 8Scores (y) 60 75 55 83 61 73 80 85 85 66.
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