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 7 8 9 10 11 12 Shelf Space (Feet) (X) 5 5 5 10 10 10 15 15 15 20 20 20 Weekly Sales ($) (Y) 160 220 140 190 240 260 230 270 280 260 290 310 Consider the linear model Y = Bo + Br2 + €i, €i ~ N(0,−) and construct a 95% confidence interval for B₁. Provide the numerical value of the upper confidence limit. Please round your final answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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
7
8
19
10
11
12
10.9445
Shelf Space (Feet) (X)
5
5
5
10.945 (with margin: 0.01)
10
10
10
15
15
15
20
20
20
Weekly Sales ($) (Y)
160
220
140
190
240
260
230
270
280
260
290
Consider the linear model
Y = Bo + B1x + Ej, Ej ~₁ N (0,0²)
and construct a 95% confidence interval for 3₁. Provide the numerical value of the upper confidence limit.
Please round your final answer to four decimal places.
310
Transcribed Image Text:Correct! Correct Answers The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. A random sample of 12 equal-sized stores is selected, with the following results: Store 1 2 3 4 5 6 7 8 19 10 11 12 10.9445 Shelf Space (Feet) (X) 5 5 5 10.945 (with margin: 0.01) 10 10 10 15 15 15 20 20 20 Weekly Sales ($) (Y) 160 220 140 190 240 260 230 270 280 260 290 Consider the linear model Y = Bo + B1x + Ej, Ej ~₁ N (0,0²) and construct a 95% confidence interval for 3₁. Provide the numerical value of the upper confidence limit. Please round your final answer to four decimal places. 310
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