4. Sales, in million pesos, of a certain company are shown here. 8 9 P20 P22 P24 Year (X) Sales (Y) 1 2 3 P12 P15 P17 P18 | P16 P19 |P21 4 5 6 |7 10 Determine the regression equation. Solve for the sum of squares for error, standard error, coefficient of determination. Find the 90% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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4. Sales, in million pesos, of a certain company are shown here.
4 5
Sales (Y) P12 P15 P17 P18 P16 P19 P21 P20 P22 P24
Year (X)
2
3
6 7
8 9
10
Determine the regression equation. Solve for the sum of squares for error, standard
error, coefficient of determination. Find the 90% confidence interval for all year for
the 12th year. Determine a 95% prediction interval for the 12th year.
Step 1: Complete the table.
|X
Y
X?
Y?
XY
1
12
2
15
3
17
4
18
5
17
6
19
7
22
8
20
9
23
10
| 26
Step 2: Solve for thee following:
Ex =
ΣΥ
X =.
Y =
Σχ
E Y² = ,
ΣΧΥ
Slope (b,):
Intercept (bo):
Simple Linear Regression Equation(Ỹ = b,X + bo):
Standard Error of Estimate(sp):
Coefficient of Determination(r²):
Confidence Interval:
Prediction Interval:
Transcribed Image Text:4. Sales, in million pesos, of a certain company are shown here. 4 5 Sales (Y) P12 P15 P17 P18 P16 P19 P21 P20 P22 P24 Year (X) 2 3 6 7 8 9 10 Determine the regression equation. Solve for the sum of squares for error, standard error, coefficient of determination. Find the 90% confidence interval for all year for the 12th year. Determine a 95% prediction interval for the 12th year. Step 1: Complete the table. |X Y X? Y? XY 1 12 2 15 3 17 4 18 5 17 6 19 7 22 8 20 9 23 10 | 26 Step 2: Solve for thee following: Ex = ΣΥ X =. Y = Σχ E Y² = , ΣΧΥ Slope (b,): Intercept (bo): Simple Linear Regression Equation(Ỹ = b,X + bo): Standard Error of Estimate(sp): Coefficient of Determination(r²): Confidence Interval: Prediction Interval:
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