The table below shows the heights (inches) and weights (pounds) of 9 randomly selected children. Child Data Height (inches), x 36 56 58 59 61 63 65 69 73 Weight (pounds), y 69 89 96 74 110 90 123 110 128 (a) Construct a scatter diagram for the data, where the weight of the child is the response variable. (b) Determine the least-squares regression line for the data and graph the line on the scatter diagram from part (a). (use calculator) (show what did you do on the calculator) (c) Interpret the slope and the y–intercept in the context of the problem. (d) Predict the weight of a child that is 57 inches tall. Comparing with the observed value, what is the residual? Is the observed weight above or below average? (e) Determine the correlation coefficient, r. Is there a correlation? Discuss the strength of the correlation and why. (f) Are heights and weights of children linearly related? Why or why not? Be sure to justify your answer by using the appropriate method. (g) Compute the coefficient of determination, R2. What can you conclude about how much is explained by explanatory variable?
The table below shows the heights (inches) and weights (pounds) of 9 randomly selected children.
| Child Data | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Height (inches), x | 36 | 56 | 58 | 59 | 61 | 63 | 65 | 69 | 73 |
| Weight (pounds), y | 69 | 89 | 96 | 74 | 110 | 90 | 123 | 110 | 128 |
(a) Construct a
(b) Determine the least-squares regression line for the data and graph the line on the scatter diagram from part (a). (use calculator) (show what did you do on the calculator)
(c) Interpret the slope and the y–intercept in the context of the problem.
(d) Predict the weight of a child that is 57 inches tall. Comparing with the observed value, what is the residual? Is the observed weight above or below average? (e) Determine the
(f) Are heights and weights of children linearly related? Why or why not? Be sure to justify your answer by using the appropriate method.
(g) Compute the coefficient of determination, R2. What can you conclude about how much is explained by explanatory variable?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 10 images
