Question

A)FIND THE CRITICAL VALUES

B)Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables?

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Answer parts a-c. Budget (x) Gross (y) 61 70 95 63 45 47 31 55 195 696 100 142 94 48 Click here to view a table of critical values for the correlation coefficient. a. Find the value of the linear correlation coefficient r. r= .893 (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 a=0.05. The critical values are (Round to three decimal places as needed.)

Answer 1

X	Y
61 95 45 31 195 100 94	70 63 47 55 696 142 48

X - Mx	Y - My	(X - Mx)2	(Y - My)2	(X - Mx)(Y - My)
-27.714 6.286 -43.714 -57.714 106.286 11.286 5.286 Mx: 88.714	-90.143 -97.143 -113.143 -105.143 535.857 -18.143 -112.143 My: 160.143	768.082 39.510 1910.939 3330.939 11296.653 127.367 27.939 Sum: 17501.429	8125.735 9436.735 12801.306 11055.020 287142.878 329.163 12576.020 Sum: 341466.857	2498.245 -610.612 4945.959 6068.245 56953.959 -204.755 -592.755 Sum: 69058.286

Key

X: X Values
Y: Y Values
M_x: Mean of X Values
M_y: Mean of Y Values
X - M_x & Y - M_y: Deviation scores
(X - M_x)² & (Y - M_y)²: Deviation Squared
(X - M_x)(Y - M_y): Product of Deviation Scores

Result Details & Calculation

X Values
∑ = 621
Mean = 88.714
∑(X - M_x)² = SS_x = 17501.429

Y Values
∑ = 1121
Mean = 160.143
∑(Y - M_y)² = SS_y = 341466.857

X and Y Combined
N = 7
∑(X - M_x)(Y - M_y) = 69058.286

R Calculation
r = ∑((X - M_y)(Y - M_x)) / √((SS_x)(SS_y))

r = 69058.286 / √((17501.429)(341466.857)) = 0.893

b)

n=7

Significance Level:	0.05
Degrees of Freedom:(n-2)	5

Critical value (two tailed) = +/- 0.754

Critical value (one -tailed)= 0.669.

Thank You...|||

please do not forgot to like.