Use a graphing calculator to find the value of the correlation coefficient r to determine if there is a strong correlation among
1 answer:
The value for r = - 0.8535 , there is strong correlation between the variables.
<h3>What is a correlation coefficient ?</h3>Correlation coefficient describes the relationship between the two variables in the data .
The data given is
(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)
Assuming Linear Regression ,
The data is plotted on the graphing calculator
The value for r = - 0.8535
as the value is in the range of - .85 to -1 , therefore there is strong correlation between the variables.
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Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this: