a). A researcher wants to investigate whether there is a linear relationship bet

Question

a). A researcher wants to investigate whether there is a linear relationship between annual company profit ($) and median annual salary paid by the company ($). The researcher collects data on a random sample of companies and after analyzing the data finds the p-value to be 0.56. Which of the following is an appropriate conclusion based on this p-value?

There is a linear relationship between annual company profit ($) and median annual salary paid by the company ($), and the corresponding value of the correlation coefficient is r = 0.56.

There is not convincing evidence of a linear relationship between annual company profit ($) and median annual salary paid by the company ($).

There is no linear relationship between annual company profit ($) and median annual salary paid by the company ($).

There is a 56% chance that there is no linear relationship between annual company profit ($) and median annual salary paid by the company ($).

b). Researchers would like to investigate whether there is a negative correlation between a car's price and the car's age in the population of used Honda Civics. Jan collects data on a random sample of 25 Honda Civics; Steve collects data on a random sample of 110 Honda Civics. Both Jan and Steve calculate a sample correlation coefficient of r = -0.83 in their respective data sets. Who will have a smaller p-value?

Jan

Steve

More information is needed to answer this question.

Both Jan and Steve will have the same p-value.

c). Which one of the following is not appropriate for studying the relationship between two quantitative variables?

Question 17 options:

Correlation

Bar chart

Regression line

Scatterplot

d). If the correlation coefficient between variables x and y is positive, then we can say that x and yhave a positive linear relationship.

There is a linear relationship between annual company profit ($) and median annual salary paid by the company ($), and the corresponding value of the correlation coefficient is r = 0.56.

There is not convincing evidence of a linear relationship between annual company profit ($) and median annual salary paid by the company ($).

There is no linear relationship between annual company profit ($) and median annual salary paid by the company ($).

There is a 56% chance that there is no linear relationship between annual company profit ($) and median annual salary paid by the company ($).

Explanation / Answer

Answer to the question is as follows:

a. There is not convincing evidence of a linear relationship between annual company profit ($) and median annual salary paid by the company ($).

Since the p-value is .56, our correlation fails to reject the Ho, which says that we lack the evidence to reject Ho

b. The one with higher sample size. That' Jan

c. bar chart. rest 3 graphically, or in calculation give the correlation

d. Not necassarily. It can be a non-linear positive relationship. Hence, False

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