Please round three decimal place thank you! Listed below are the budgets (in mil

Question

Please round three decimal place thank you!

Listed below are the budgets (in milions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Answer parts a-c Budget (x) Gross (y) 85 63 48 51 36 57 199 543 103 144 85 64 a. Find the value of the linear correlation coefficient. (Round to three decimal places as needed.) b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using The critical values are ± | |. (Round to three decimal places as needed.) c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? 0.05 A. No, because the absolute value of the correlation coefficient is greater than the critical value ( B. Yes, because the absolute value of the correlation coefficient is less than the critical value ° C. No, because the absolute value of the correlation coefficient is less than the critical value O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value. Click to select vour answerfs

Explanation / Answer

a)X Values
= 617
Mean = 88.143
(X - Mx)2 = SSx = 17596.857

Y Values
= 966
Mean = 138
(Y - My)2 = SSy = 198128

X and Y Combined
N = 7
(X - Mx)(Y - My) = 55242

R Calculation
r = ((X - My)(Y - Mx)) / ((SSx)(SSy))

r = 55242 / ((17596.857)(198128)) = 0.9356

Meta Numerics (cross-check)
r = 0.9356 nearly 0.936

b)

df =7-2 =5

from table

critical value is 0.878

c)option D

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