[Regression Analysis] How do you solve this question WITHOUT USING ANY CODE? The answer is provided in the picture, but I need help on how to solve the problem by hand. Please include any formulas used and show all calculations. Thank you!

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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[Regression Analysis] How do you solve this question WITHOUT USING ANY CODE? The answer is provided in the picture, but I need help on how to solve the problem by hand. Please include any formulas used and show all calculations. Thank you!

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The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12
equal-sized stores is selected, with the following results:
Store
1
2
3
4
5
6
17
8
19
10
11
12
3.8555
Shelf Space (Feet) (X)
3.855 (with margin: 0.01)
15
5
5
10
10
10
15
15
15
20
20
20
Weekly Sales ($) (Y)
160
220
140
190
240
260
230
270
280
260
290
Consider the linear model
Y₁ =B₁ + B₁x₁ + €₁, €₁ ~ N(0,0²)
Ej,
and construct a 95% confidence interval for ₁. Provide the numerical value of the lower confidence limit.
Please round your final answer to four decimal places.
310
Transcribed Image Text:Correct! Correct Answers The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected, with the following results: Store 1 2 3 4 5 6 17 8 19 10 11 12 3.8555 Shelf Space (Feet) (X) 3.855 (with margin: 0.01) 15 5 5 10 10 10 15 15 15 20 20 20 Weekly Sales ($) (Y) 160 220 140 190 240 260 230 270 280 260 290 Consider the linear model Y₁ =B₁ + B₁x₁ + €₁, €₁ ~ N(0,0²) Ej, and construct a 95% confidence interval for ₁. Provide the numerical value of the lower confidence limit. Please round your final answer to four decimal places. 310
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