78. The average number of people in a family that attended college for various years is given in Table 12.30.Year Number of Family Members Attending College1969 4.01973 3.61975 3.21979 3.01983 3.01988 3.01991 2.9Table 12.30a. Using “year” as the independent variable and “Number of Family Members Attending College” as thedependent variable, draw a scatter plot of the data.b. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bxc. Find the correlation coefficient. Is it significant?d. Pick two years between 1969 and 1991 and find the estimated number of family members attending college.e. Based on the data in Table 12.30, is there a linear relationship between the year and the average number offamily members attending college?f. Using the least-squares line, estimate the number of family members attending college for 1960 and 1995.Does the least-squares line give an accurate estimate for those years? Explain why or why not.g. Are there any outliers in the data?h. What is the estimated average number of family members attending college for 1986? Does the least squaresline give an accurate estimate for that year? Explain why or why not.i. What is the slope of the least squares (best-fit) line? Interpret the slope.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

78. The average number of people in a family that attended college for various years is given in Table 12.30.
Year Number of Family Members Attending College
1969 4.0
1973 3.6
1975 3.2
1979 3.0
1983 3.0
1988 3.0
1991 2.9
Table 12.30
a. Using “year” as the independent variable and “Number of Family Members Attending College” as the
dependent variable, draw a scatter plot of the data.
b. Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx
c. Find the correlation coefficient. Is it significant?
d. Pick two years between 1969 and 1991 and find the estimated number of family members attending college.
e. Based on the data in Table 12.30, is there a linear relationship between the year and the average number of
family members attending college?
f. Using the least-squares line, estimate the number of family members attending college for 1960 and 1995.
Does the least-squares line give an accurate estimate for those years? Explain why or why not.
g. Are there any outliers in the data?
h. What is the estimated average number of family members attending college for 1986? Does the least squares
line give an accurate estimate for that year? Explain why or why not.
i. What is the slope of the least squares (best-fit) line? Interpret the slope.

AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman