ANOVA Regression Residual Total tercept mber of lespersons df Coefficients 77.0 43.0 SS 6,847.3 8,943.3 MS F Significance F Standard Error t Stat 12.613 5.185 P-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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A regression model relating , number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following regression output. Where total = 38.
ANOVA
27.56
t Stat
Regression
Residual
Total
x
8.29
Intercept
Number of
Salespersons
a. Write the estimated regression equation (to whole number).
ŷ = 77
+
43
b. Compute the F statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals)
df
p-value is less than 0.01
we reject
Ho: B₁ =
d. Predict the annual sales at the Memphis branch office. This branch employs 13 salespersons.
$
464 thousand (to whole number)
Coefficients
F-value
p-value is less than 0.01
we reject
Но
c. Compute the t statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals)
0
77.0
43.0
SS
6,847.3
8,943.3
MS F Significance F
Standard Error
12.613
5.185
t Stat
P-value
Transcribed Image Text:A regression model relating , number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following regression output. Where total = 38. ANOVA 27.56 t Stat Regression Residual Total x 8.29 Intercept Number of Salespersons a. Write the estimated regression equation (to whole number). ŷ = 77 + 43 b. Compute the F statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) df p-value is less than 0.01 we reject Ho: B₁ = d. Predict the annual sales at the Memphis branch office. This branch employs 13 salespersons. $ 464 thousand (to whole number) Coefficients F-value p-value is less than 0.01 we reject Но c. Compute the t statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) 0 77.0 43.0 SS 6,847.3 8,943.3 MS F Significance F Standard Error 12.613 5.185 t Stat P-value
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