# Make a scatterplot for the data.Height and Weight of FemalesHeight

Question
Scatterplots

Make a scatterplot for the data.
Height and Weight of Females
$$\begin{array}{|c|c|}\hline \text{Height (in.):} & 58 & 60 & 62 & 64 & 65 & 66 & 68 & 70 & 72 \\ \hline \text{Weight (lb):} & 115 & 120 & 125 & 133 & 136 & 115 & 146 & 153 & 159 \\ \hline \end{array}$$

2021-03-07
Step 1
Scatterplot
Height is on the horizontal axis and Weight is on the vertical axis.
The heights range from 58 to 72, thus an appropriate scale for the horizontal
axis is from 50 to 80.
The weights range from 115 to 159, thus an appropriate scale for the vertical
axis is from 105 to 170.

Result:
Height is one the horizontal axis and Weight is one the vertical axis.

### Relevant Questions

a. Make a scatterplot for the data in the table below.
Height and Weight of Football Players
$$\begin{array}{|c|c|}\hline \text{Height (in.):} & 77 & 75 & 76 & 70 & 70 & 73 & 74 & 74 & 73 \\ \hline \text{Weight (lb):} & 230 & 220 & 212 & 190 & 201 & 245 & 218 & 260 & 196 \\ \hline \end{array}$$

b. Which display - the table or the scatter plot - do you think is a more appropriate display of the data? Explain your reasoning.

Make a scatterplot for each set of data. Tell whether the data show a linear association or a nonlinear association.
$$(1,\ 2),\ (7,\ 9.5),\ (4,\ 7),\ (2,\ 4.2),\ (6,\ 8.25),\ (3,\ 5.8),\ (5,\ 8),\ (8,\ 10),\ (0,\ 0)$$

Make a scatterplot for each set of data.
$$\begin{array}{|c|c|}\hline \text{Hits:} & 7 & 8 & 4 & 11 & 8 & 2 & 5 & 9 & 1 & 4 \\ \hline \text{Runs:} & 3 & 2 & 2 & 7 & 4 & 2 & 1 & 3 & 0 & 1 \\ \hline \end{array}$$

Make a scatterplot of the data and graph the function $$\displaystyle{f{{\left({x}\right)}}}=\ -{8}{x}^{{{2}}}\ +\ {95}{x}\ +\ {745}.$$ Make a residual plot and describe how well the function fits the data. $$\begin{array}{|c|c|} \hline \text{Price Increase} & 0 & 1 & 2 & 3 & 4 \\ \hline \text{Sales} & 730 & 850 & 930 & 951 & 1010 \\ \hline \end{array}$$

Make a scatterplot for the data in the table below.
Height and Weight of Football Players
Height (in.): 77 75 76 70 70 73 74 74 73
Weight (lb): 230 220 212 190 201 245 218 260 196
Make a scatterplot for the data.
Height and Weight of Females
Height (in.): 58, 60, 62, 64, 65, 66, 68, 70, 72
Weight (lb): 115, 120, 125, 133, 136, 115, 146, 153, 159

For each set of data below, draw a scatterplot and decide whether or not the data exhibits approximately periodic behaviour.

a) $$\begin{array}{|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline y & 0 & 1 & 1.4 & 1 & 0 & -1 & -1.4 & -1 & 0 & 1 & 1.4 & 1 & 0 \\ \hline \end{array}$$

b) $$\begin{array}{|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\ \hline y & 4 & 1 & 0 & 1 & 4 \\ \hline \end{array}$$

c) $$\begin{array}{|c|c|}\hline x & 0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 & 3.5 \\ \hline y & 0 & 1.9 & 3.5 & 4.5 & 4.7 & 4.3 & 3.4 & 2.4 \\ \hline \end{array}$$

d) $$\begin{array}{|c|c|}\hline x & 0 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 12 \\ \hline y & 0 & 4.7 & 3.4 & 1.7 & 2.1 & 5.2 & 8.9 & 10.9 & 10.2 & 8.4 & 10.4 \\ \hline \end{array}$$

The following data on = soil depth (in centimeters) and y = percentage of montmorillonite in the soil were taken from a scatterplot in the paper "Ancient Maya Drained Field Agriculture: Its Possible Application Today in the New River Floodplain, Belize, C.A." (Agricultural Ecosystems and Environment [1984]: 67-84):
a. Draw a scatterplot of y versus x.
b. The equation of the least-squares line is 0.45x. Draw this line on your scatterplot. Do there appear to be any large residuals?
c. Compute the residuals, and construct a residual plot. Are there any unusual features in the plot?
$$\begin{array}{|c|c|}\hline x & 40 & 50 & 60 & 70 & 80 & 90 & 100 \\ \hline y & 58 & 34 & 32 & 30 & 28 & 27 & 22 \\ \hline \end{array}$$
$$\displaystyle{\left[\hat{{{y}}}={64.50}\right]}$$.

$$\begin{array}{|c|c|}\hline \text{Chest(in.)} & 26 & 45 & 54 & 49 & 35 & 41 & 41 \\ \hline \text{Weight(lb)} & 80 & 344 & 416 & 348 & 166 & 220 & 262 \\ \hline \end{array}$$