Question

In: Statistics and Probability

Commercial Movie Releases The yearly data have been published showing the number of releases for each...

Commercial Movie Releases The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. The regression line equation is

=y′+162.128.951x

. The correlation coefficient is

=r0.951

. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume

=α0.01

.

No. of releases,

x

21

270

12

10

361

35

22

8
Gross receipts,

y

(million

$

)

125

1962

154

241

3844

334

1064

188

Solutions

Expert Solution

Answer:-

Given That:-

The yearly data have been published showing the number of releases for each of the commercial movie studios and the gross receipts for those studios thus far. The regression line equation is =y′+162.128.951x. The correlation coefficient is =r0.951. Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.01.

Given,

From the data,

Total sum of squares,

SST = 12177230

Residual sum of squares,

SSE = 1164131

Degree of freedom, df = n - 2

= 8 - 2

= 6

Mean Residual sum of squares, MSE = SSE/df

= 1164131/6

= 194021.8

Standard error of the estimate =  

=

= 440.4791

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orchestra answered 1 year ago
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