how does average height for boys change as boys get older? according to physicians handbook, the average…

how does average height for boys change as boys get older? according to physicians handbook, the average heights at different ages are in the table below.\n\n| age (years) | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |\n| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n| height (inches) | 26 | 29 | 33 | 36 | 39 | 42 | 45 | 47 | 50 | 52 | 54 | 56 | 58 | 60 | 62 |\n\nmake a time-series graph for average height for ages 0.5 through 14 years.

how does average height for boys change as boys get older? according to physicians handbook, the average heights at different ages are in the table below.\n\n| age (years) | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |\n| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n| height (inches) | 26 | 29 | 33 | 36 | 39 | 42 | 45 | 47 | 50 | 52 | 54 | 56 | 58 | 60 | 62 |\n\nmake a time-series graph for average height for ages 0.5 through 14 years.

Answer

Explanation:

Step1: Identify the independent and dependent variables

The independent variable is Age (years) on the x-axis, and the dependent variable is Height (inches) on the y-axis.

Step2: Analyze the data trend from the table

As Age increases from $0.5$ to $14$ years, the Height increases from $26$ to $62$ inches. The graph must show a positive slope.

Step3: Evaluate the provided graph options

Graph 1 (top left): Shows height decreasing as age increases. Incorrect. Graph 2 (top right): Shows height decreasing as age increases. Incorrect. Graph 3 (bottom left): Shows height increasing as age increases. Correct. Graph 4 (bottom right): Shows height decreasing as age increases. Incorrect.

Step4: Verify specific data points for Graph 3

At Age $0.5$, Height is $26$. At Age $14$, Height is $62$. Graph 3 correctly plots these points with Age on the horizontal axis and Height on the vertical axis.

Answer:

The correct time-series graph is the third graph (bottom left), which shows a steady increase in height from 26 inches to 62 inches as age increases from 0.5 to 14 years.