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Answer:
Th computed value of the test statistic is 3.597
Step-by-step explanation:
The null and the alternative hypothesis is as follows:
Null Hypothesis:
the population correlation coefficient is equal to zero
the population correlation coefficient is not equal to zero
The test statistics for Pearson correlation coefficient is thus computed as :
where;
r = correlation coefficient = 0.60
n = sample size = 25
So;
t = 3.597
Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069
Decision Rule:
Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.
Conclusion:
We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.
The average rate of change over the interval (-3, 2) is 1
<h3>Average rate of change</h3>The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation
<h3>Interval</h3>The interval is given as: (-3,2)
From the graph, we have:
- f(-3) = -5
- f(2) = 0
So, the average rate over these intervals is calculated as:
This gives
Substitute known values
Simplify
Hence, the average rate of change is 1
Read more about average rate of change at: