it\'s all the same question and the last 2 pictures is the table of critical val

Question

it's all the same question and the last 2 pictures is the table of critical values.

Use the given data set to complete parts (a) through (c) below. (Use a-005.) 10 7.46 13 2 74 782 884 8.15 6.42 5.73 6.08 39 Click here to view a table of critical values for the correlation coefficient a. Construct a scatterplot Choose the correct graph below OA. O B. O c. O D. 2/7/17 4:43 PM 12 16 1216 16 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. veral Click to select your answer(s) Save for Later Des 01 Daye 07 Hours 6:43 PM 12/7/2017

Explanation / Answer

Appropriate scatter plot is as per option B

Linear correlation coeff. r = 0.8165

test statistics, t = r*sqrt((n-2)/(1-r^2))
t = 0.8165*sqrt((11 - 2)/(1-0.8165^2))
t = 4.2426

p-value = 0.0022

As p-value is less than the significance level of 0.05, we reject the null hypothesis
Option (B)

part C)
The scatterplot reveals a perfect straight line pattern except for the presence of one outlier.

SUMMARY OUTPUT Regression Statistics Multiple R 0.816521437 R Square 0.666707257 Adjusted R Square 0.62967473 Standard Error 1.235695486 Observations 11 ANOVA df SS MS F Significance F Regression 1 27.49000091 27.49000091 18.00328821 0.002164602 Residual 9 13.74249 1.526943333 Total 10 41.23249091

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