Question

This table shows the number of spins and average points from the spins.
Spins 6 8 2 3 4 1 10 5

Average points 9 11 12 4 7 7 8 6
Use the data from the table to create a scatter plot.

Answer 1

Here are the scatter plots
Hope this helps :))

Answer 2

Scatter plots are used to show the relationships between two variables x and y.

Let x represents the number of spin, and y represents the average point.

So, the table is given as:

x: 6 8 2 3 4 1 10 5

y: 9 11 12 4 7 7 8 6

To create a scatter plot, we make use of a graphing calculator.

Using a graphing calculator, we have the following parameters:

• Sum of X: $\mathbf{\sum x = 39}$
• Sum of Y: $\mathbf{\sum y = 64}$
• Mean X: $\mathbf{\bar x= 4.875}$
• Mean Y: $\mathbf{\bar y= 8}$
• Sum of squares: $\mathbf{SS_x = 64.875}$
• Sum of products: $\mathbf{S_P = 11}$.

The regression equation is then represented as:

$\mathbf{\^ y = b\^x + a}$

Where:

$\mathbf{b = \frac{S_p}{SS_x}}$ and $\mathbf{a = \bar y - b \times \bar x}$

So, we have:

$\mathbf{b = \frac{S_p}{SS_x}}$

$\mathbf{b = \frac{11}{64.88}}$

$\mathbf{b = 0.16956}$

Approximate

$\mathbf{b = 0.17}$

Also, we have:

$\mathbf{a = \bar y - b \times \bar x}$

$\mathbf{a = 8 - (0.17 \times 4.88) }$

$\mathbf{a = 7.17341}$

Approximate

$\mathbf{a = 7.17}$

So, the regression equation is:

$\mathbf{\^y = 0.17\^x + 7.17}$

See attachment for the scatter plot

Read more about scatter plots at:

https://brainly.com/question/13984412