Section 10.2Question #11The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $11million. Is the result close to the actual number of viewers, 3.3 million? Use a significance level of 0.05. Salary (millions of $)1081521538414 Viewers (millions)9.19.310.91.34.84.83.21.8 View the critical values of the Pearson correlation coefficient r.Critical values of the pearson correlation coefficient rnα=0.05α=0.01NOTE: To test H0: ρ=0 against H1: ρ≠0,reject H0if the absolute value of r is greater than the critical value in the table.40.9500.99050.8780.95960.8110.91770.7540.87580.7070.83490.6660.798100.6320.765110.6020.735120.5760.708130.5530.684140.5320.661150.5140.641160.4970.623170.4820.606180.4680.590190.4560.575200.4440.561250.3960.505300.3610.463350.3350.430400.3120.402450.2940.378500.2790.361600.2540.330700.2360.305800.2200.286900.2070.2691000.1960.256nα=0.05α=0.01 What is the regression equation? y=___________+_________x (Round to three decimal places as needed.) What is the best predicted number of viewers for a television star with a salary of $11 million? The best predicted number of viewers for a television star with a salary of $11 million is ________million.(Round to one decimal place as needed.)

Let X be the salary and Y be the viewers. Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y under ‘Input Y Range’>Select X under ‘Input X Range’>Click on ‘OK’. Output: From the output, Y=4.934+0.034X The best predicted number of viewers for a television star with a salary of $11 million is, Y=4.934+(0.034*11)=$5.3 The best predicted number of viewers for a television star with a salary of $11 million is $5.3 million.

Answered: The data show the number of viewers for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Section 10.2

Question #11

The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $11million. Is the result close to the actual number of viewers, 3.3 million? Use a significance level of 0.05.

Salary (millions of $)	108	15	2	15	3	8	4	14
Viewers (millions)	9.1	9.3	10.9	1.3	4.8	4.8	3.2	1.8

View the critical values of the Pearson correlation coefficient r.

Critical values of the pearson correlation coefficient r

n	α=0.05	α=0.01
n	α=0.05	α=0.01	NOTE: To test H₀: ρ=0 against H₁: ρ≠0, reject H₀ if the absolute value of r is greater than the critical value in the table.
4	0.950	0.990
5	0.878	0.959
6	0.811	0.917
7	0.754	0.875
8	0.707	0.834
9	0.666	0.798
10	0.632	0.765
11	0.602	0.735
12	0.576	0.708
13	0.553	0.684
14	0.532	0.661
15	0.514	0.641
16	0.497	0.623
17	0.482	0.606
18	0.468	0.590
19	0.456	0.575
20	0.444	0.561
25	0.396	0.505
30	0.361	0.463
35	0.335	0.430
40	0.312	0.402
45	0.294	0.378
50	0.279	0.361
60	0.254	0.330
70	0.236	0.305
80	0.220	0.286
90	0.207	0.269
100	0.196	0.256