Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $135 million. Use a significance level of a = 0.05. Budget ($)in Millions Gross ($) in Millions 37 22 115 67 71 56 122 70 11 56 125 25 6 150 40 115 13 110 65 122 111 91 108 46 108 217 41 7 300 39 Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y =D+x. (Round one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its
budget is $135 million. Use a significance level of a = 0.05.
Budget ($)in Millions
Gross ($)
in Millions
37
22
115
67
71
56
122
70
11
56
125
25
150
4
115
13
110
65
122
111
91
108
46
108
217
41
7
300
39
Click the icon to view the critical values of the Pearson correlation coefficient r.
.....
The regression equation is y =
·x.
+
(Round to one decimal place as needed.)
Transcribed Image Text:Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $135 million. Use a significance level of a = 0.05. Budget ($)in Millions Gross ($) in Millions 37 22 115 67 71 56 122 70 11 56 125 25 150 4 115 13 110 65 122 111 91 108 46 108 217 41 7 300 39 Click the icon to view the critical values of the Pearson correlation coefficient r. ..... The regression equation is y = ·x. + (Round to one decimal place as needed.)
me
Critical values of the pearson correlation coefficient r
Iget
= 0.
22
In
a = 0.05
a = 0.01
NOTE: To test Ho: p = 0
0.950
0.878
0.811
0.754
0.707
0.666
0.632
0.602
0.576
0.553
0.532
0.514
0.497
0.482
0.468
0.456
0.444
0.396
0.361
0.335
0.312
0.294
0.279
0.254
0.236
0.220
0.207
0.196
0.990
against H,: p#0, reject Ho
if the absolute value of r is
greater than the critical
value in the table.
4
0.959
0.917
0.875
0.834
0.798
0.765
0.735
0.708
0.684
0.661
0.641
0.623
0.606
0.590
0.575
0.561
0.505
0.463
13
6
Pear
8
19
10
11
12
13
14
15
16
17
18
19
20
25
30
35
40
45
50
60
70
80
90
100
0.430
0.402
0.378
0.361
0.330
0.305
0.286
0.269
0.256
In
a = 0.05
a = 0.01
Transcribed Image Text:me Critical values of the pearson correlation coefficient r Iget = 0. 22 In a = 0.05 a = 0.01 NOTE: To test Ho: p = 0 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 0.990 against H,: p#0, reject Ho if the absolute value of r is greater than the critical value in the table. 4 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 13 6 Pear 8 19 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 In a = 0.05 a = 0.01
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