nterpret the slope and the intercept. What is the Pearson correlation coefficient (r) and interpret?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 68E
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Interpret the slope and the intercept. What is the Pearson correlation coefficient (r) and interpret?

Restaurant
Website Hits (x) Weekly revenue $ (y)
John's Café
1,213
12,113
Buccan
1,490
11,409
New City Diner
1,365
14,579
Black Pearl
1,455
11,605
Saratoga
1,269
12,308
Burnt Toast
1,632
12,320
University Seat
1,323
13,225
Jimmy's
Maroon and Orange
1,865
13,652
1,590
13,893
Burger Place
1,878
13,896
Transcribed Image Text:Restaurant Website Hits (x) Weekly revenue $ (y) John's Café 1,213 12,113 Buccan 1,490 11,409 New City Diner 1,365 14,579 Black Pearl 1,455 11,605 Saratoga 1,269 12,308 Burnt Toast 1,632 12,320 University Seat 1,323 13,225 Jimmy's Maroon and Orange 1,865 13,652 1,590 13,893 Burger Place 1,878 13,896
SUMMARY OUTPUT
Y = 1.67+ 10,382.37x
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
0.357111239
0.127528437
0.018469492
1078.961437
Observations
10
ANOVA
df
SS
MS
Significance F
Regression
1
1361311.738
1361311.738
1.169353294
0.311050553
Residual
8.
9313262.262
1164157.783
Total
10674574
t Stat
Upper 95%
15808.53709
Coefficients
Standard Error
P-value
Lower 95%
Lower 95.0%
Upper 95.0%
10382.37282
Intercept
Website Hits (x)
2353.059211
4.412287105
0.002249526
4956.208544
4956.208544
15808.53709
1.669514048
1,543893028
1.081366401
0.311050553
-1.89070966
5.229737756
-1.89070966
5.229737756
RESIDUAL OUTPUT
PROBABILITY OUTPUT
Predicted Weekly revenue $ (y)
Weekly revenue $ (y)
11409
Observation
Residuals
Standard Residuals
Percentile
1.
12407.49336
-294.4933559
-0.289498181
5
12869.94875
-1460.948747
-1.436168241
15
11605
3
12661.25949
1917.740509
1.885211934
25
12113
4
12811.51576
-1206.515755
-1.186050923
35
12308
12500.98614
-192.9861426
-0.189712726
45
12320
6
13107.01974
-787.0197419
-0.77367037
55
13225
7
12591.1399
633.8600989
0.62310861
65
13652
13496.01652
155.9834849
0.153337704
75
13893
9
13036.90015
856.0998481
0.841578745
85
13896
10
13517.7202
378.2798023
0.371863448
95
14579
Transcribed Image Text:SUMMARY OUTPUT Y = 1.67+ 10,382.37x Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.357111239 0.127528437 0.018469492 1078.961437 Observations 10 ANOVA df SS MS Significance F Regression 1 1361311.738 1361311.738 1.169353294 0.311050553 Residual 8. 9313262.262 1164157.783 Total 10674574 t Stat Upper 95% 15808.53709 Coefficients Standard Error P-value Lower 95% Lower 95.0% Upper 95.0% 10382.37282 Intercept Website Hits (x) 2353.059211 4.412287105 0.002249526 4956.208544 4956.208544 15808.53709 1.669514048 1,543893028 1.081366401 0.311050553 -1.89070966 5.229737756 -1.89070966 5.229737756 RESIDUAL OUTPUT PROBABILITY OUTPUT Predicted Weekly revenue $ (y) Weekly revenue $ (y) 11409 Observation Residuals Standard Residuals Percentile 1. 12407.49336 -294.4933559 -0.289498181 5 12869.94875 -1460.948747 -1.436168241 15 11605 3 12661.25949 1917.740509 1.885211934 25 12113 4 12811.51576 -1206.515755 -1.186050923 35 12308 12500.98614 -192.9861426 -0.189712726 45 12320 6 13107.01974 -787.0197419 -0.77367037 55 13225 7 12591.1399 633.8600989 0.62310861 65 13652 13496.01652 155.9834849 0.153337704 75 13893 9 13036.90015 856.0998481 0.841578745 85 13896 10 13517.7202 378.2798023 0.371863448 95 14579
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9781133382119
Author:
Swokowski
Publisher:
Cengage