3) Data were collected to explain the amount of a customer's purchase (expressed in $'s) bused on the amount of time the customer has spent on the company's website (expressed in minutes) Complete the Table Below Regression Statistics Multiple R R Square Adjusted R Square 0.508 Standard Error Observations 12 ANOVA Significance F 0.005598142 df MS F Regression 63067.3 Residual 51086.4 Total Standard Error Upper 95% Coefficients t Stat P-value Lower 95% Intercept -3.53 42.21 0.935 Time 7.12 2.03 0.006
3) Data were collected to explain the amount of a customer's purchase (expressed in $'s) bused on the amount of time the customer has spent on the company's website (expressed in minutes) Complete the Table Below Regression Statistics Multiple R R Square Adjusted R Square 0.508 Standard Error Observations 12 ANOVA Significance F 0.005598142 df MS F Regression 63067.3 Residual 51086.4 Total Standard Error Upper 95% Coefficients t Stat P-value Lower 95% Intercept -3.53 42.21 0.935 Time 7.12 2.03 0.006
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Data were collected to explain the amount of a customer’s purchase (expressed in $’s) based on the amount of time the customer has spent on the company’s website (expressed in minutes)
*COMPLETE THE DATA TABLE BELOW*

Transcribed Image Text:f) To determine the predicted purchase amt for
a cUstomer who has spent
30 minutes
the website ?
the
results
The regression equation bafed
ニ -3.53+7,12x
ic purcha s
-3.53+1.12 time
Substitute time =30 in
the equation
Purchase =
-3.53+7.12 time
-3. 53+7,1230=~3,53+213,63
ニ
$210,07

Transcribed Image Text:3) Data were collected to explain the amount of a customer's purchase (expressed in $'s) based on the
amount of time the customer has spent on the company's website (expressed in minutes)
Complete the Table Below
Regression
Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
0,508
Observations
12
ANOVA
Significance F
0.005598142
df
MS
F
63067.3
Regression
Residual
51086.4
Total
Standard
Error
Upper
95%
Coefficients
t Stat
P-value
Lower 95%
Intercept
-3.53
42.21
0.935
Time
7.12
2.03
0.006
Based on the regression results, answer the following questions
a) What is the estimated regression equation?
Intercept : -3,53
cst
reg equi
time = 7, 12
b) What percentage of the variation in purchase amount is explained by time?
STOpel here its time)
Y = -3,53+7,12X
Adjusted rquare
= 0.508
0,50X 100 '/
5o, 87,
c) What is the correlation between purchase amount and time?
R -Squared (R2) = 6.S0g
correlation (r) r=r=
correlatioa btwn purch
amount and
time
0.4127
r = 0, SG8
r =0. 17
d) What is the standard error of the error term in the regression equatiðn?'
SE =SSResidual
de - SI086,412-2=5108.64 =71,475
e) Is the coefficient on the variable “time" statistically significantly different than 0 at the 5% level of
significance? How do you know?
yes, the variable time
,s Sig dif from ø at S
Co rres
d= 0.05
Ievel
because the R-value
is less than Sig level
f) What is the predicted purchase amount for a customer who has spent 30 minutes on the website?
ing
Sig
is 0,.00c, which..
to time
5
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