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Mr. Starnes performed research to see if the colour of written words impacts your ability to read them and if the words themselves affect your ability to name the colour they are printed in. As a result, this data's scatterplot will appear like this:

As a result of the scatterplot, we may determine that,

The scatterplot slopes upward, indicating a positive direction.

Because the points appear to line up roughly along a line, it has a linear form.

Because the points are not too far apart but not too close together, it has a medium strength.

Given in the question that, 32 words are printed in different colors:

Mr. Starnes conducted research to investigate if the colour of written words impacts your ability to read them and if the words themself impact your performance to name the shade in which they are printed. From the calculator's START menu, choose 1: Edit, then enter the sugar data in the list $L_1$and the data of the calorie in the list $L_2$.

Then press STAT, then CALC, then Linerg $(a+bx)$After that, you must finish the command by typing $L_1{L}_2$.

Finally, pressing ENTER results in the output:

$y=a+bx$

$a=4.887$

$b=1.132$

The regression line then becomes:

localid="1652800910422" $$\begin{gathered} \hat{y}=a+bx \\ =4.887+1.132x \end{gathered}$$

with $\hat{y}$the predicted time for the colors and $x$the time for the words.

Given in the question that, 32 words are printed for a study as given below :

Mr. Starnes performed research to see if the colour of written words impacts your ability to read them and if the words themselves affect your ability to name the colour they are printed in. The regression line looks like this:

$$\begin{gathered} \hat{y}=a+bx \\ =4.887+1.132x \end{gathered}$$

with $\hat{y}$the predicted time for the colors and $x$the time for the words.

Given that

$x=9$

$y=13$

We arrive to the following conclusion using the regression line from component (b):

$$\begin{gathered} \hat{y}=a+bx \\ =4.887+1.132x \\ =4.887+1.132×9 \\ =15.075 \end{gathered}$$

The residual seems to be the difference between actual and projected figures, as we all know.

$$\begin{gathered} \text{Residual}=y-\hat{y} \\ =13-15.075 \\ =-2.075 \end{gathered}$$

Given in the question that,

Mr. Starnes performed research to see if the colour of written words impacts your ability to read them, and if the words themselves affect your ability to name the colour.

$H_0:\mathrm{β}=0$

$H_a:\mathrm{β}>0$

localid="1652801661707" $$\begin{gathered} P=0.0215 \\ =2.15\% \end{gathered}$$

If the null hypothesis is accepted, the P-value is the chances of obtaining the test statistic result or a value that is more extreme.