45. A random sample of basketball players was drawn, out of the UAAP basketball players who came to free throw line at least 50 times in 2015 and 2016 seasons. Their free throw averages were as follows: \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|} \hline Player & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \( 2015(x) \) & 0.21 & 0.26 & 0.45 & 0.35 & 0.70 & 0.60 & 0.75 & 0.20 & 0.90 & 0.80 \\ \hline \( 2016(y) \) & 0.80 & 0.65 & 0.50 & 0.50 & 0.29 & 0.60 & 0.60 & 0.40 & 0.50 & 0.85 \\ \hline \end{tabular} Compute for the correlation r. Determine at 0.05 significance level whether the correlation is greater than zero. In two decimal places, what is the value of the \( t \)-computed?
Added by John O.
Close
Step 1
The correlation coefficient measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a strong negative relationship, 1 indicates a strong positive relationship, and 0 indicates no Show more…
Show all steps
Your feedback will help us improve your experience
Nick Johnson and 88 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A random sample of 40 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in hundred thousand dollars) and league are shown in the table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the $t$ -test. Use a significance level of $0.05 .$ (Source: sampled from All MLB Salaries, accessed via StatCrunch. Owner: StatCrunch featured.)
Which value of the following values of coefficients of correlation indicates the strongest correlation? +0.53 +0.58 -0.60 -0.40
Nicole S.
Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1 The sample correlation coefficient for this data set is __________. -0.74 -0.09 0.38 0.60
David N.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Watch the video solution with this free unlock.
EMAIL
PASSWORD