() Does the data support the statistical model? Select the appropriate statistical hypotheses. O A. Ho : B = 0 HA: B + 0 O B. Ho : B = 0 HA : Bi > 0 OC. Họ : A =0 HẠ:P >0 O D. Ho : A = 0 HA : A # 0 O E. H, : B > 0 Ha : Bi = 0 O F. Ho : B = 0 HA : < 0 O G. Họ : B = 0 HẠ:ßi < 0 (g) Find the value of the test statistic that is based on the random behaviour of B, and the P-value that is used to test the null hypothesis in part () Test Statistic = 7.650326 (Use three decimals in your answer) P- value = 6.6*10^(-10) H (Use SIX decimals in your answer) Need 6 decimals (h) Complete the statement below. In doing so, use three decimals in your answers. I am 95% confidence that as the sodium content of a hot dog wiener increases by 1 milligram, the mean carolic content of the hot dog wiener will increase v by somewhere between 1.798 calories and 3.0794 calories () A particular hot dog wiener has 114 milligrams sodium. With 95% confidence, estimate the mean carolic content of all hot dog wieners that have 114 milligrams of sodium.Use one decimal in your answers. 218.9 SHr-4 s 487.9
() Does the data support the statistical model? Select the appropriate statistical hypotheses. O A. Ho : B = 0 HA: B + 0 O B. Ho : B = 0 HA : Bi > 0 OC. Họ : A =0 HẠ:P >0 O D. Ho : A = 0 HA : A # 0 O E. H, : B > 0 Ha : Bi = 0 O F. Ho : B = 0 HA : < 0 O G. Họ : B = 0 HẠ:ßi < 0 (g) Find the value of the test statistic that is based on the random behaviour of B, and the P-value that is used to test the null hypothesis in part () Test Statistic = 7.650326 (Use three decimals in your answer) P- value = 6.6*10^(-10) H (Use SIX decimals in your answer) Need 6 decimals (h) Complete the statement below. In doing so, use three decimals in your answers. I am 95% confidence that as the sodium content of a hot dog wiener increases by 1 milligram, the mean carolic content of the hot dog wiener will increase v by somewhere between 1.798 calories and 3.0794 calories () A particular hot dog wiener has 114 milligrams sodium. With 95% confidence, estimate the mean carolic content of all hot dog wieners that have 114 milligrams of sodium.Use one decimal in your answers. 218.9 SHr-4 s 487.9
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Need to double-check and expand on few question. Thanks. The following is the data:
|
|
sodium |
calories |
|
1 |
129 |
317 |
|
2 |
180 |
555 |
|
3 |
117 |
265 |
|
4 |
142 |
369 |
|
5 |
164 |
523 |
|
6 |
153 |
391 |
|
7 |
140 |
394 |
|
8 |
143 |
472 |
|
9 |
143 |
501 |
|
10 |
167 |
434 |
|
11 |
117 |
382 |
|
12 |
140 |
379 |
|
13 |
158 |
415 |
|
14 |
135 |
417 |
|
15 |
130 |
350 |
|
16 |
210 |
617 |
|
17 |
149 |
505 |
|
18 |
161 |
506 |
|
19 |
132 |
342 |
|
20 |
122 |
446 |
|
21 |
161 |
454 |
|
22 |
166 |
496 |
|
23 |
102 |
317 |
|
24 |
119 |
400 |
|
25 |
112 |
400 |
|
26 |
207 |
636 |
|
27 |
183 |
587 |
|
28 |
151 |
463 |
|
29 |
152 |
524 |
|
30 |
178 |
381 |
|
31 |
96 |
441 |
|
32 |
176 |
518 |
|
33 |
163 |
561 |
|
34 |
145 |
375 |
|
35 |
196 |
530 |
|
36 |
114 |
334 |
|
37 |
179 |
433 |
|
38 |
160 |
407 |
|
39 |
160 |
583 |
|
40 |
156 |
377 |
|
41 |
92 |
265 |
|
42 |
145 |
268 |
|
43 |
148 |
422 |
|
44 |
122 |
412 |
|
45 |
204 |
509 |
|
46 |
108 |
310 |
|
47 |
116 |
256 |
|
48 |
138 |
496 |
|
49 |
91 |
326 |
|
50 |
155 |
507 |
|
51 |
173 |
567 |
Transcribed Image Text:(f) Does the data support the statistical model? Select the appropriate statistical hypotheses.
A. Ho : B1 = 0 HẠ : B1 + 0
В. Но : В 3D 0 На : Вi > 0
С. Но : Во 3 0 На : Во > 0
D. Ho : Bo = 0 HẠ : Bo + 0
E. Ho : B1 > 0 HẠ : B1 = 0
F. Ho : fo = 0 HẠ : Bo < 0
G. Но : В 3D 0 На : В <0
||
(g) Find the value of the test statistic that is based on the random behaviour of B1, and the P-value that is used to test the null hypothesis in part (f) .
Test Statistic
7.650326
(Use three decimals in your answer)
P- value = 6.6*10^(-10)
(Use SIX decimals in your answer)
Need 6 decimals
(h) Complete the statement below. In doing so, use three decimals in your answers.
I am 95% confidence that as the sodium content of a hot dog wiener increases by 1 milligram, the mean carolic content of the hot dog wiener will
increase
by somewhere between 1.798
calories and 3.0794
calories.
(i) A particular hot dog wiener has 114 milligrams of sodium. With 95% confidence, estimate the mean carolic content of all hot dog wieners that have 114 milligrams of sodium.Use one decimal in your answers.
218.9
487.9
< HY[X=114 <|
Transcribed Image Text:Is there a relationship between the sodium content of a hot dog and the number of calories the hot dog has? To investigate this, a nutritionist randomly picked n =
51 hot dog wieners all of which were the same size. For each hot dog wiener the sodium content (in milligrams) was measured and the number of calories each contained, after cooking.
The nutritionist wants to estimate the statistical model
Y; = fo + B1 X; + e;
where Y; represents the caloric content, or the number of calories, of hot dog wiener i, and X; represents the sodium content (in milligrams) of hot dog wiener i.
The data appears in the .csv file. Open this file, then copy-and-paste the columns into the statistical software.
(a) Using the statistical software, graph the bivariate data. What can you say about nature of the relationship between the sodium content of a hotdog wiener and the caloric content of the hot dog wiener?
There is exists a positive
relationship between the sodium content of a hotdog wiener and its caloric content.
(b) Compute the correlation between a hot dog wieners sodium and caloric content.
r =
0.737714
(use four decimals in your answer)
(c) Fill in the blanks to estimate the statistical model. For each field, use three decimals.
i =
50.20518
+ V
0.22316
X;
(d) A residual plot appears below
Residual Plot
a) common standard deviation in the caloric content regardless of the sodium content
b) common standard deviation in the sodium content regardless of the caloric content
c) the sodium content in a hot dog wiener is normally distributed
c) the caloric content in a hot dog wiener is normally distributed
300
350
400
450
500
550
Predicted Values of Y
This residual plot is use to check the condition of ?
This condition ?
appear to hold.
а) does
b) does not
(e) What percent of the variation in the caloric content of a hot dog wiener is explained by its linear relationship with its sodium content? Enter your answer as a %.
54.42
% (use two decimals)
001
09
001-
-150
Residuals
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