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.