The data in the anying table represent the rate of return of a cer Click the icon to view the data table OD. Ho B₁=0 H₁ B₁ 0 certain company mpany stock stock 16P 11 months, compared with the rate of return of a certain index of 500 stocks. Both are in percent Complete parts (a) through (d) below Determine the P-value for this hypothesis test P-value = 0.026 (Round to three decimal places as needed.) State the appropriate conclusion at the a=0.10 level of significance. Choose the correct answer below. XE OA. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of OB. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return OC. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate OD. Reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of ret c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the slope of the true least-squares regression line. Lower bound Upper bound d) What is the mean (Round to four decimal places as needed.) (Round to four decimal places as needed.) rate of return for the company stock if the rate of return of the index is 3.15%? n for the company stock if the rate of return of the index is 3 15 % 15 % is Rate of Return Month Apr-18 May-18 Jun-18 Jul-18 Aug-18 Sept-18 Oct-18 Nov-18 Dec-18 Jan-19. Feb-19 Rates of return of the index, x 4:23 3.25 -1.78 -3.20 9:40 1.29 1:20 3.58 3:30 1.48 1:40 -4.40 -4.40 -0.86 -6.12 -3.48 Print Rates of return of the company stock, y 3.28 5.09 0.54 288 2.69 20 7:41 M -4.83 -2.38 2.37 4.27 -3.77 Done X
The data in the anying table represent the rate of return of a cer Click the icon to view the data table OD. Ho B₁=0 H₁ B₁ 0 certain company mpany stock stock 16P 11 months, compared with the rate of return of a certain index of 500 stocks. Both are in percent Complete parts (a) through (d) below Determine the P-value for this hypothesis test P-value = 0.026 (Round to three decimal places as needed.) State the appropriate conclusion at the a=0.10 level of significance. Choose the correct answer below. XE OA. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of OB. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return OC. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate OD. Reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of ret c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the slope of the true least-squares regression line. Lower bound Upper bound d) What is the mean (Round to four decimal places as needed.) (Round to four decimal places as needed.) rate of return for the company stock if the rate of return of the index is 3.15%? n for the company stock if the rate of return of the index is 3 15 % 15 % is Rate of Return Month Apr-18 May-18 Jun-18 Jul-18 Aug-18 Sept-18 Oct-18 Nov-18 Dec-18 Jan-19. Feb-19 Rates of return of the index, x 4:23 3.25 -1.78 -3.20 9:40 1.29 1:20 3.58 3:30 1.48 1:40 -4.40 -4.40 -0.86 -6.12 -3.48 Print Rates of return of the company stock, y 3.28 5.09 0.54 288 2.69 20 7:41 M -4.83 -2.38 2.37 4.27 -3.77 Done X
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 15PPS
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![The data in the accompanying table represent the rate of return of a certain company stock for 11 months, compared with the rate of return of a certain index of 500 stocks. Both are in percent Complete parts (a) through (d) below.
Click the icon to view the data table.
O D. Ho B₁ = 0
H₁: B₁0
Determine the P-value for this hypothesis test.
P-value = 0.026 (Round to three decimal places as needed.)
State the appropriate conclusion at the a= 0.10 level of significance. Choose the correct answer below.
O A. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of
B. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return
OC. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate
OD. Reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of ret
(c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the slope of the true least-squares regression line.
(Round to four decimal places as needed.)
Lower bound:
Upper bound:
(Round to four decimal places as needed.)
(d) What is the mean rate of return for the company stock if the rate of return of the index is 3.15%?
The mean rate of return for the company stock if the rate of return of the index is 3.15% is %.
(Round to three decimal places as needed.)
Rate of Return
Month
Apr-18
May-18
Jun-18
Jul-18
Aug-18
Sept-18
Oct-18
Nov-18
Dec-18
Jan-19
Feb-19
Rates of return of
the index, x
4.23
3.25
- 1.78
- 3.20
1.29
3.58
1.48
- 4.40
-0.86
- 6.12
- 3.48
Print
Rates of return of the D
company stock, y
3.28
5.09
0.54
2.88
2.69
7.41
4.83
2.38
2.37
- 4.27
-3.77
Done
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51379597-0afa-4a37-9d58-da5feeb9ab5b%2F11ada428-d409-4ee0-adfd-8fb85938523c%2F7nzskjh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The data in the accompanying table represent the rate of return of a certain company stock for 11 months, compared with the rate of return of a certain index of 500 stocks. Both are in percent Complete parts (a) through (d) below.
Click the icon to view the data table.
O D. Ho B₁ = 0
H₁: B₁0
Determine the P-value for this hypothesis test.
P-value = 0.026 (Round to three decimal places as needed.)
State the appropriate conclusion at the a= 0.10 level of significance. Choose the correct answer below.
O A. Do not reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of
B. Reject Ho. There is sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return
OC. Do not reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate
OD. Reject Ho. There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of ret
(c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the slope of the true least-squares regression line.
(Round to four decimal places as needed.)
Lower bound:
Upper bound:
(Round to four decimal places as needed.)
(d) What is the mean rate of return for the company stock if the rate of return of the index is 3.15%?
The mean rate of return for the company stock if the rate of return of the index is 3.15% is %.
(Round to three decimal places as needed.)
Rate of Return
Month
Apr-18
May-18
Jun-18
Jul-18
Aug-18
Sept-18
Oct-18
Nov-18
Dec-18
Jan-19
Feb-19
Rates of return of
the index, x
4.23
3.25
- 1.78
- 3.20
1.29
3.58
1.48
- 4.40
-0.86
- 6.12
- 3.48
Print
Rates of return of the D
company stock, y
3.28
5.09
0.54
2.88
2.69
7.41
4.83
2.38
2.37
- 4.27
-3.77
Done
X
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