Concept explainers
The graph in Exercise 63 shows the average height of girls based on their age. The dam in the table give the average height y (in inches) for girls of age x (in yr).
a. Use the data in the table to find the least-squares regression line. Round the slope to 2 decimal places and the y -intercept to 1 decimal place.
b. Use a graphing utility to graph the regression line and the observed data.
c. Use the model in part (a) to approximate the average height of 11-yr-old girls.
d. If the height of a girl at age 11 is 90% of her full-grown adult height, use the result of part (c) to estimate the average height of adult women. Round to the nearest tenth of an inch.
e. By how much do the results of pan (d) differ from the result of Exercise 63(d)?
Age (yr) (x ) | Height (in.) (y ) |
---|---|
2 | 35.00 |
3 | 38.50 |
4 | 41.75 |
5 | 44.00 |
6 | 46.00 |
7 | 48.00 |
8 | 50.50 |
9 | 53.00 |
10 | 56.00 |
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