Bone strength, gives the bone strengths of the dominant and the nondominant arms for 15 men who were controls in a study. ID Group NonDom Dom
1 Control 15.7 16.3
2 Control 25.2 26.9
3 Control 17.9 18.7
4 Control 19.1 22.0
5 Control 12.0 14.8
6 Control 20.0 19.8
7 Control 12.3 13.1
8 Control 14.4 17.5
9 Control 15.9 20.1
10 Control 13.7 18.7
11 Control 17.7 18.7
12 Control 15.5 15.2
13 Control 14.4 16.2
14 Control 14.1 15.0
15 Control 12.3 12.9

a. Plot the data. Use the bone strength in the nondominant arm as the explanatory variable and bone strength in the dominant arm as the response variable.
b. The least-squares regression line for these data is dominant = 2.74 + (0.936 × nondominant) Add this line to your plot.
c. Use the scatterplot (a graphical summary), with the least-squares line (a graphical display of a numerical summary) to write a short paragraph describing this relationship.

Follows are the solution is this query:

Step-by-step explanation:

In point a:

The explicatory variable mostly on X-axis is obtained only at the two-dimensional level or the Y-axis dependent variables, instead of catching the information, they also get diffusion plotted in the attached file please find it.

In point b:

Draw on the scatter diagram as just below the minimum-square correlation axis, which is defined in the attached file please find it.

In point c:

From the plot above, a positive relationship among even in the analysis of bone density, the dominant and non-dominant Arm. They can forecast its bone using bone density throughout the non-dominant arm and the Dominant arm power. They can conclude from the slopes of its regression model, which is inside a non-dominant arm, each unit raises bone strength by 0.936 throughout the dominant atm.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).