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Question: Many regions along the coast in North and South Carolina and Georgia have experienced rapid popul…

by | Sep 9, 2023 | Aswered Questions



Many regions along the coast 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 $4.24 $73.98 2.00
2 4.08 54.90 2.00
3 5.76 59.43 4.00
4 3.48 52.02 1.00
5 4.20 65.70 2.00
6 4.80 53.64 4.00
7 4.32 79.74 3.00
8 5.04 68.58 4.00
9 6.12 165.60 5.00
10 3.24 64.80 1.00
11 4.80 138.42 3.00
12 3.24 125.82 1.00
13 6.37 77.58 7.00
14 5.51 170.74 7.00
15 6.60 126.42 6.00
16 5.40 141.30 3.00
17 6.00 36.90 5.00
18 5.40 56.88 4.00
19 3.36 71.82 1.00
20 4.68 69.48 3.00
21 4.32 54.36 2.00
22 5.52 87.66 5.00
23 4.56 38.16 3.00
24 5.40 43.74 7.00
25 7.10 37.46 6.00

Question: Many regions along the coast in North and South Carolina andGeorgia have experienced rapid popul...Click
here for the Excel Data File

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

a-1.

Develop a correlation matrix. (Round your answers to 3
decimal places. Negative amounts should be indicated by a minus
sign.)

Food Income
  Income      
  Size            
a-2. Do you see any problems with
multicollinearity?
  There is (Click to
select)multicollinearityno multicollinearity.

b-1. Determine the regression
equation. (Round your answer to 3 decimal
places.)
  The regression
equation is: Food =  +  Income
+  Size.
b-2.

How much does an additional family member add to the amount
spent on food? (Round your answer to the nearest dollar
amount.)

  Another member of
the family adds $  to the food bill.
c-1. What is the value of
R2? (Round your answer to 3
decimal places.)
  R2   
c-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.)

  H0 is rejected if F
>

  
c-3. Complete the ANOVA
(Leave no cells blank – be certain to enter “0” wherever
required. Round SS, MS, P to 3 decimal places and
F to 2 decimal places.)
  Source DF SS MS F p
  Regression                         
  Error               
  Total          
c-4. Can we conclude that this value
is greater than 0?
  (Click to
select)RejectDo not reject H
0. Some of the
regression coefficients are (Click to select)zeronot zero.
d-1.

Complete the given below table. (Leave no cells blank –
be certain to enter “0” wherever required. Round Coef, SE Coef,
P to 3 decimal places and T to 2 decimal
places.)

  Predictor Coef SE Coef T P
  Constant                          
  Income                          
  Size                          
d-2. Would you consider deleting
either of the independent variables?
  There is (Click to
select)no needa need to delete a variable.
e. State true or false.

   Question: Many regions along the coast in North and South Carolina andGeorgia have experienced rapid popul...

From the graph the residuals
appear normally distributed.
(Click to select)FalseTrue
f. Choose the right option from the
following graph.

   Question: Many regions along the coast in North and South Carolina andGeorgia have experienced rapid popul...

(Click to select)There is no
homoscedasticity problemThere is a homoscedasticity problem.

Many regions along the coast 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 $4.24 $73.98 2.00
2 4.08 54.90 2.00
3 5.76 59.43 4.00
4 3.48 52.02 1.00
5 4.20 65.70 2.00
6 4.80 53.64 4.00
7 4.32 79.74 3.00
8 5.04 68.58 4.00
9 6.12 165.60 5.00
10 3.24 64.80 1.00
11 4.80 138.42 3.00
12 3.24 125.82 1.00
13 6.37 77.58 7.00
14 5.51 170.74 7.00
15 6.60 126.42 6.00
16 5.40 141.30 3.00
17 6.00 36.90 5.00
18 5.40 56.88 4.00
19 3.36 71.82 1.00
20 4.68 69.48 3.00
21 4.32 54.36 2.00
22 5.52
  

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