The data in the accompanying table represent the rate of return of a certain company stock for 11 months, compared with the rate of retum of a certain index of 500 stocks. Both are in percent. Complete parts (a) through (d) b H₁ P₁0 D. HP-D H₁ B₁ D Determine the P-value for this hypothesis test value= (Round to three decimal places as needed) State the appropriate conclusion at the a-0.10 level of significance. Choose the correct answer below 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 return of the company stock 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 of the company stock c. Do not reject H, There is not sufficient evidence to conclude that a Inear relation exists between the rate of totam of the index and the rule of return of the company stock D. Reject H, There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return of the company stock c) Assuming the residuals are normally distributed, construct a 90% confidence interval for the slope of the true least squares regression line Lower bound (Round to four decimal places as needed) 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%9

Calculus For The Life Sciences
2nd Edition
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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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
H₁ P₁0
OD. H₂ P-D
H₁ B₁ 0
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
-
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
Determine the P-value for this hypothesis test
P-value= (Round to three decimal places as needed.)
State the appropriate conclusion at the a=0.10 level of significance Choose the correct answer below
Lower bound
Upper bound
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
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 return of the company stock
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 of the company stock
OC. Do not reject H, There is not sufficient evidence to conclude that a Inear relation exists between the rate of return of the index and the rule of return of the company stock
OD. Reject H, There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return of the company stock
(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.)
(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)
Transcribed Image Text: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 H₁ P₁0 OD. H₂ P-D H₁ B₁ 0 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 - 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 Determine the P-value for this hypothesis test P-value= (Round to three decimal places as needed.) State the appropriate conclusion at the a=0.10 level of significance Choose the correct answer below Lower bound Upper bound 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 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 return of the company stock 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 of the company stock OC. Do not reject H, There is not sufficient evidence to conclude that a Inear relation exists between the rate of return of the index and the rule of return of the company stock OD. Reject H, There is not sufficient evidence to conclude that a linear relation exists between the rate of return of the index and the rate of return of the company stock (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.) (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)
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