Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.37 $ 73.98 4 2 4.08 54.90 2 3 5.76 156.22 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80 138.42 3 12 3.24 125.82 1 13 6.70 77.58 7 14 5.61 147.16 9 15 6.60 156.38 6 16 5.40 141.30 3 17 6.00 36.90 5 18 5.40 56.88 4 19 3.36 71.82 1 20 4.68 69.48 3 21 4.32 54.36 2 22 5.52 87.66 5 23 4.56 38.16 3 24 5.40 43.74 7 25 7.71 43.19 3 Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household. 1.What is the value of R2? 2.State the decision rule for 0.05 significance level. H0: = β1 = β2 = 0; H1: Not all βi's = 0.(Round your answer to 2 decimal places.) Ho is rejected if F> 3.Can we reject H0: = β1 = β2 = 0? -------------Ho.Atleast one of the regression coefficients is-------------- 4.State true or false From the graph the residuals appear normally distributed.

Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to build new stores in the region. The Kelley’s Super Grocery Stores Inc. chain is no exception. The director of planning for Kelley’s Super Grocery Stores wants to study adding more stores in this region. He believes there are two main factors that indicate the amount families spend on groceries. The first is their income and the other is the number of people in the family. The director gathered the following sample information. Family Food Income Size 1 $ 5.37 $ 73.98 4 2 4.08 54.90 2 3 5.76 156.22 4 4 3.48 52.02 1 5 4.20 65.70 2 6 4.80 53.64 4 7 4.32 79.74 3 8 5.04 68.58 4 9 6.12 165.60 5 10 3.24 64.80 1 11 4.80 138.42 3 12 3.24 125.82 1 13 6.70 77.58 7 14 5.61 147.16 9 15 6.60 156.38 6 16 5.40 141.30 3 17 6.00 36.90 5 18 5.40 56.88 4 19 3.36 71.82 1 20 4.68 69.48 3 21 4.32 54.36 2 22 5.52 87.66 5 23 4.56 38.16 3 24 5.40 43.74 7 25 7.71 43.19 3 Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household. 1.What is the value of R2? 2.State the decision rule for 0.05 significance level. H0: = β1 = β2 = 0; H1: Not all βi's = 0.(Round your answer to 2 decimal places.) Ho is rejected if F> 3.Can we reject H0: = β1 = β2 = 0? -------------Ho.Atleast one of the regression coefficients is-------------- 4.State true or false From the graph the residuals appear normally distributed.

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Description: Many regions in North and South Carolina and Georgia have experienced rapid population growth over the last 10 years. It is expected that the growth will continue over the next 10 years. This has motivated many of the large grocery store chains to bu

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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Family	Food	Income	Size
1		$	5.37	$	73.98	4
2			4.08		54.90	2
3			5.76		156.22	4
4			3.48		52.02	1
5			4.20		65.70	2
6			4.80		53.64	4
7			4.32		79.74	3
8			5.04		68.58	4
9			6.12		165.60	5
10			3.24		64.80	1
11			4.80		138.42	3
12			3.24		125.82	1
13			6.70		77.58	7
14			5.61		147.16	9
15			6.60		156.38	6
16			5.40		141.30	3
17			6.00		36.90	5
18			5.40		56.88	4
19			3.36		71.82	1
20			4.68		69.48	3
21			4.32		54.36	2
22			5.52		87.66	5
23			4.56		38.16	3
24			5.40		43.74	7
25			7.71		43.19	3

Food and income are reported in thousands of dollars per year, and the variable size refers to the number of people in the household.

1.What is the value of R²?

2.State the decision rule for 0.05 significance level. H₀: = β₁ = β₂ = 0; H₁: Not all β_i's = 0.(Round your answer to 2 decimal places.)

Ho is rejected if F>

3.Can we reject H₀: = β₁ = β₂ = 0?

-------------Ho.Atleast one of the regression coefficients is--------------

4.State true or false

From the graph the residuals appear normally distributed.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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