For the accompanying data set, draw a scatter diagram of the data. x 2 6 6 7 9y 3 2 6 9 5B. by hand compute the correlation coefficient. r = (round to three decimals as needed.)C. Fill in the blanks: Because the correlation coefficient is (positive or negative) and the absolute value of the correlation coefficient, , is (greater or not greater) than the critical value for this data set,___, (no, a positive, or a negative) linear relation exists between x and y. (round to three decimal places as needed.)Critical values for the correlation coefficient tablen 3 0.9974 0.9505 0.8786 0.8117 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361

Step-by-step explanation:

Hello!

a.

Given the data corresponding the variables:

x 2 6 6 7 9

y 3 2 6 9 5

The Scatterplot is attached.

b.

To compute the correlation coefficient you need several auxiliary calculations:

∑X= 30

∑X²= 206

∑Y= 25

∑Y²= 155

∑XY= 162

r= 0.429 ≅ 0.43

c.

The critical value for r has n-2 degrees of freedom, let's say for example you have α:0.05

For a two-tailed test.

Because the correlation coefficient is positive and the absolute value of the correlation coefficient, _0.43___, is not greater than the critical value for this data set,_0.878__, no linear relationship exists between x and y.

I hope it helps!

alot

step-by-step explanation:

its a wood chuck that can chuck wood

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.