[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!

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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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!

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