91Ó°ÊÓ

The given data is

The scatter plot of the given data is,

The relation between weight and the number of raisins does not exist because the second column (Number of raisins) has two different values for the one same values in the column first (Weight). The value 42.3 has 87 and and 82, two different values. Thus, the relation does not exist.

Take two points from the given table:

$\left(42.3,87\right)\mathrm{and}\left(42.4,87\right)$

Now, equation of line passing through two points is,

$$\begin{gathered} \left(y-87\right)=\frac{87-87}{42.4-42.3}\left(x-42.4\right) \\ ⇒y-87=0 \\ ⇒y=87 \end{gathered}$$

Thus, the equation of the line is y= 87. The equation may be changed as the point will change.

Consider the obtained model and draw it.

Using the linear model to predict the number of raisins in a box that weighs 42.5 grams.

Now, the number of raisins in a box that weighs 42.5 grams is 86.

The equation of the line is y=87. Thus, the value of the slope of the line is zero. This statement depends on the linear model. As the model will change, the slope will work accordingly.