MINITAB PRINTOUT Regression Analysis: SALES PER STORE versus DAILY HIGH TEMPE Predictor Constant DAILY HIGH TEMPERATURE (X) The regression equation is SALES PER STORE (Y) = 812 + 436 DAILY HIGH TEMPERATURE (X) 3= 2930.58 R-3q= 79.9% Analysis of Variance Accessibilite Unavailable 76 DE 436.32 Ses SE Seat 812 95 39800 R-9q (adj) = 78.80 Source Regression 648374033 163177395 Residual Error 19 Total 20 811551429 Pearson correlation of SALES PER STORE (Y) and DAILY HIGH TEMPERATURE (X) =0.894 P 4129 0.20 0.846 50.22 8.69 0.000 M3 F P 648374033 75.50 0.000 8588284

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1. What is the linear regression equation on the Minitab printout?

 

 

2. What is the dependent variable?

 

 

3. What is the independent variable?

 

 4. What is the coefficient of correlation? Is the relationship strong, moderate, or weak?

 5.What percentage of the variation in sales can be explained by the variation in temperature?

 

6. What is the slope and what does it mean in terms of this problem?

 

7. What is the y intercept and what does it mean in terms of this problem?

 

8. Conduct a hypothesis test to determine if there is positive correlation at the .05 significance level. Show all 6 steps.

REGRESSION ANALYSIS
The owner of large chain of ice-cream stores would like to study the effect of atmospheric
temperature on sales during the summer season. Temperature is the independent variable. A
random sample of 21 days is selected with the results given as follows:
DAY
1
2
3
4
5
6
7
8
9
10
11
12
Source
Regression
Residual Error
Total
13
14
15
16
17
18
19
20
21
Accessibility Unavailable
DAILY HIGH
TEMPERATURE (X)
Predictor
Constant
DAILY HIGH TEMPERATURE (X)
3 2930.58 R-3g = 79.9%
Analysis of Variance
48
60
63
75
80
82
85
88
DF
1 648374033
163177395
20 811551429
90
91
92
65
9.5
98
100
92
87
84
88
80
82
76
MINITAB PRINTOUT
Regression Analysis: SALES PER STORE versus DAILY HIGH TEMPE
The regression equation is
SALES PER STORE (Y) = 812 + 436 DAILY HIGH TEMPERATURE (X)
436.32
Sest SE Seat
812
R-9q (adj) = 78.88
SALES PER
STORE (Y)
25000
28000
28500
30500
33600
32500
36800
39000
MS
41000
43600
44000
29200
46500
48000
38700
38300
35800
38600
32600
31400
39800
T
P
4129 0.20 0.846
50.22 8.69 0.000
F
P
648374033 75.50 0.000
8588284
Pearson correlation of SALES PER STORE (Y) and DAILY HIGH TEMPERATURE (X)
= 0.894
Transcribed Image Text:REGRESSION ANALYSIS The owner of large chain of ice-cream stores would like to study the effect of atmospheric temperature on sales during the summer season. Temperature is the independent variable. A random sample of 21 days is selected with the results given as follows: DAY 1 2 3 4 5 6 7 8 9 10 11 12 Source Regression Residual Error Total 13 14 15 16 17 18 19 20 21 Accessibility Unavailable DAILY HIGH TEMPERATURE (X) Predictor Constant DAILY HIGH TEMPERATURE (X) 3 2930.58 R-3g = 79.9% Analysis of Variance 48 60 63 75 80 82 85 88 DF 1 648374033 163177395 20 811551429 90 91 92 65 9.5 98 100 92 87 84 88 80 82 76 MINITAB PRINTOUT Regression Analysis: SALES PER STORE versus DAILY HIGH TEMPE The regression equation is SALES PER STORE (Y) = 812 + 436 DAILY HIGH TEMPERATURE (X) 436.32 Sest SE Seat 812 R-9q (adj) = 78.88 SALES PER STORE (Y) 25000 28000 28500 30500 33600 32500 36800 39000 MS 41000 43600 44000 29200 46500 48000 38700 38300 35800 38600 32600 31400 39800 T P 4129 0.20 0.846 50.22 8.69 0.000 F P 648374033 75.50 0.000 8588284 Pearson correlation of SALES PER STORE (Y) and DAILY HIGH TEMPERATURE (X) = 0.894
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