Homework Sourse1 Fill in the blank For these data heights of sons that are
1. Fill in the blank: For these data, heights of sons that are greater than the mean of the heights of sons tend to be paired with heights of fathers that are _____ the mean of the heights of fathers.
Choose onegreater thanless than
2. Fill in the blank: According to the regression equation, for an increase of one centimeter in father\'s height, there is a corresponding _____ of 0.51 centimeters in son\'s height.
Choose one
increase
decrease
3. From the regression equation, what is the predicted son\'s height (in centimeters) when the height of the father is 161.6 centimeters? (Round your answer to at least one decimal place.)
4. From the regression equation, what is the predicted son\'s height (in centimeters) when the height of the father is 172.7 centimeters? (Round your answer to at least one decimal place.)
| Height of fathers, X | Height of son, Y |
| 190.1 | 187.3 |
| 173.6 | 170.4 |
| 175.9 | 176.1 |
| 173.7 | 180.4 |
| 161.6 | 166.4 |
| 181.0 | 176.4 |
| 201.8 | 191.1 |
| 184.1 | 187.6 |
| 189.7 | 196.1 |
| 180.7 | 188.6 |
| 159.2 | 174.2 |
| 186.4 | 176.5 |
| 175.0 | 179.0 |
| 193.9 | 189.1 |
| 159.6 | 173.2 |
| 204.3 | 190.2 |
Solution
Here,
y^ = 89.58 + 0.51x
1.
The slope is positive; hence, greater values of x tend to pair with GREATER values of y.
Thus, GREATER THAN. [ANSWER]
2. The slope is positive (0.51), so, INCREASE. [ANSWER]
3.
Plugging in 161.6 for x,
y^ = 89.58 + 0.51(161.6)
y^ = 188.156 [ANSWER]
4.
Plugging in 172.7 for x,
y^ = 89.58 + 0.51(172.7)
y^ = 194.927 [ANSWER]
