DATAfile: SalaryStress
You may need to use the appropriate technology to answer this question.
To identify high-paying jobs for people who do not like stress, the following data were collected showing the average annual salary ($1,000s) and the stress tolerance for a variety of occupations. +
The stress tolerance for each job is rated on a scale from 0 to 100 , where a lower rating indicates less stress.
(a) Develop a scatter diagram for these data with average annual salary as the independent variable.
What does the scatter diagram indicate about the relationship between the two variables?
There appears to be a positive linear relationship between average annual salary ($1,000s) and stress tolerance.
There appears to be no noticeable relationship between average annual salary ($1,000s) and stress tolerance.
There appears to be a negative linear relationship between average annual salary ( $1,000s and stress tolerance.
(b) Use these data to develop an estimated regression equation that can be used to predict stress tolerance given the average annual salary (in $1,000s ). (Round your numerical values to three decimal places).
hat(y)=
(c) At the 0.05 level of significance, does there appear to be a significant statistical relationship between the two variables? (Use the F test.)
State the null and alternative hypotheses.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
ho -value =â—»
State your conclusion.
Reject H_(0). We cannot conclude that the relationship between average annual salary ($1,000s) and stress tolerance is significant.
Reject H_(0). We conclude that the relationship between average annual salary ($1,000s) and stress tolerance is significant.
Do not reject H_(0). We conclude that the relationship between average annual salary ($1,000s) and stress tolerance is significant.
Do not reject H_(0). We cannot conclude that the relationship between average annual salary ($1,000s) and stress tolerance is
significant.
(d) Would you feel comfortable in predicting the stress tolerance for a different occupation given the average annual salary for the occupation? Explain. (Round your answer to three decimal places.)
(e) Does the relationship between average annual salary and stress tolerance for these data seem reasonable to you? Explain.
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Dental hygienist:
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