Solution Found!
Old Faithful Refer to the table of data given in Exercise
Chapter 10, Problem 2 RE(choose chapter or problem)
Old Faithful Refer to the table of data given in Exercise 1 and use the heights and interval-after times.
a. Construct a scatterplot. What does the scatterplot suggest about a linear correlation between heights of eruptions and interval-after times?
b. Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between heights of eruptions and interval-after times.
c. Letting y represent the interval-aftertime and letting x represent height, find the regression equation.
d. Based on the given sample data, what is the best predicted interval-after time for an eruption with a height of 100 ft?
Questions & Answers
QUESTION:
Old Faithful Refer to the table of data given in Exercise 1 and use the heights and interval-after times.
a. Construct a scatterplot. What does the scatterplot suggest about a linear correlation between heights of eruptions and interval-after times?
b. Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between heights of eruptions and interval-after times.
c. Letting y represent the interval-aftertime and letting x represent height, find the regression equation.
d. Based on the given sample data, what is the best predicted interval-after time for an eruption with a height of 100 ft?
ANSWER:
Solution 2 RE
Let us analyze the given data and find out whether there is any linear association exists between the duration and the interval after the eruption.
The data can be analyzed and the result of correlation and regression can be obtained through STAT DISK as follows:
• In STAT DISK just type in the data set
• In STATDISK choose ANALYSIS-Correlation and Regression
• Choose the level of significance the variable for which correlation and regression is to be calculated.
• Click -evaluate to obtain the result as follows.
• After obtaining the result click on the scatter plot to obtain the result as follows:
Actually this software displays the output of the regression and correlation also by default we present the screen shot of the result as follows.