Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between $x$ and $y$. b. Find the value of the correlation coefficient $r$ and determine whether there is a linear correlation. c. Remove the point with coordinates $(1,10)$ and find the correlation coefficient $r$ and determine whether there is a linear correlation. $d$. What do you conclude about the possible effect from a single pair of values?

Click here to view a table of critical values for the correlation coefficient.
a. Do the data points appear to have a strong linear correlation?
$\times$ No
+ Yes
b. What is the value of the correlation coefficient for all 10 data points?
$r=\square$ (Simplify your answer. Round to three decimal places as needed )

Step 1 ：To answer part a, examine the scatterplot and subjectively determine if there is a strong correlation between x and y. Since the scatterplot is not provided, this question cannot be answered.

Step 2 ：To answer part b, calculate the correlation coefficient r for all 10 data points using the Pearson correlation coefficient formula: \( r = \frac{\sum (x_i - \bar{x})(y_i - \bar{y})}{\sqrt{\sum (x_i - \bar{x})^2 \sum (y_i - \bar{y})^2}} \) where \( x_i \) and \( y_i \) are the individual data points, and \( \bar{x} \) and \( \bar{y} \) are the means of the x and y data points, respectively.

Step 3 ：Using the given data points x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] and y = [2, 4, 6, 8, 10, 12, 14, 16, 18, 20], calculate the correlation coefficient r.

Step 4 ：The calculated correlation coefficient r is 0.9999999999999999.

Step 5 ：Final Answer: \( r = \boxed{1.000} \)