Question
In: Statistics and Probability
The average number of people in a family that attended college for various years is given...
The average number of people in a family that attended college for various years is given in Table 12.29
| 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 |
- Using “year” as the independent variable and “Number of Family Members Attending College” as the dependent variable, draw a scatter plot of the data.
- Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx
- Find the correlation coefficient. Is it significant?
- Pick two years between 1969 and 1991 and find the estimated number of family members attending college.
- Based on the data in Table 12.29, is there a linear relationship between the year and the average number of family members attending college?
- 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.
- Are there any outliers in the data?
- 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.
- What is the slope of the least squares (best-fit) line? Interpret the slope.
Solutions
orchestra answered 2 years agoRelated Solutions
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family
size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (a)
Calculate the least squares line. Put the equation in the form
of:
? = a+ bx.
(Round your answers to three decimal places.)
? = ________ + _______ x
Part (b)
Find the estimated welfare family size in 1972. (Use
your equation from...
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (a) Using "Year" as the independent variable and "Welfare
family size" as the dependent variable, make a scatter plot of the
data.
Part (b) Calculate the least squares line. Put the equation in
the form of: ? = a + bx. (Round
your answers...
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
Year
Welfare family size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
Part (b) Calculate the least squares line. Put the equation in
the form of: ? = a + bx. (Round
your answers to three decimal places.)
? = + x
Part (g) Using the rounded least squares line, estimate the
welfare family sizes for 1960...
The average number of people in a family that received welfare for various years is given...
The average number of people in a family that received welfare
for various years is given below.
YEAR
Welfare family size
1969
4.0
1973
3.6
1975
3.2
1979
3.0
1983
3.0
1988
3.0
1991
2.9
y=88.721+ -0.043x
part d.
Find the estimated welfare family size in 1970. (Use your
equation from part (b). Round your answer to one decimal place.)
_______ people.
Find the estimated welfare family size in 1989. (Use your
equation from part (b). Round your answer to...
Exercise 14.1 The number of movies attended in the preceding three months are given below for...
Exercise 14.1
The number of movies attended in the preceding three months are
given below for 30 people. Calculate the mean, the median, the
mode, and the range. Show your work. Interpret each statistic.
0 15 26 8 2
3 11 13 0 3
0 1 17 1 9
7 4 18 12 10
10 4 2 7 2
2 5 9 6 6
1. Calculate the mean and interpret the results.
2. Calculate the median and interpret the...
The age distribution of students at a community college is given below. Age (years) Number of...
The age distribution of students at a community college is given
below.
Age (years) Number of Students (f)
Under 21 416
21-25 420
26-30 219
31-35 51
Over 35 24
Total = 1130
Number of students (f) 416 420 219 51 24 1130
A student from the community college is selected at random. Find
the conditional probability that the student is at most 35 given
that he or she is at least 26.
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl.
in R.
Estimate, by simulation, the average number of children there would be in a family if all people had children until they had a girl. Do the same if all people had children until they had at least one boy and at least one girl. How many more children would you expect to find under the second scheme than under the first in 100,000 families? (Assume that girls and boys are equally likely.)
According to a recent study, the mean number of people in a family (a married couple)...
According to a recent study, the mean number of people in a
family (a married couple) in Canada is 4.80. A sociologist thinks
this may not be the correct value for the city that she lives in.
She examines a large apartment complex and interviews 100 randomly
selected families (married couples) in the complex and obtains a
mean of 4.64 persons per family. It is also known that the
population standard deviation, σ, can be assumed to be 0.796. You...
According to a recent study, the mean number of people in a family (a married couple)...
According to a recent study, the mean number of people in a
family (a married couple) in Canada is 4.80. A sociologist thinks
this may not be the correct value for the city that she lives in.
She examines a large apartment complex and interviews 100 randomly
selected families (married couples) in the complex and obtains a
mean of 4.64 persons per family. It is also known that the
population standard deviation, σ, can be assumed to be 0.796.
You...
An article was written that on average only 35% of people read, and that the number...
An article was written that on average only 35% of people read,
and that the number of books that are read are correlated to the
reader’s age. A simple random survey was conducted on 34 people.
The binomial question being “Do you read books?”. The 2
quantitative question being: “How many books have you read in the
last 2 years?” and “What is your age”. The results are below: 18
people stated they do not read, 0 books per year....
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