Question

In: Statistics and Probability

For the data set shown below, complete parts (a) through (d) below. x y 20 102...

For the data set shown below, complete parts (a) through (d) below. x y 20 102 30 95 40 91 50 81 60 68 ​(a) Use technology to find the estimates of beta 0 and beta 1. beta 0 ~ b 0=_____​(Round to two decimal places as​ needed.) beta 1 ~ b 1=_____(Round to two decimal places as​ needed.) (b) Use technology to compute the standard error, the point estimate for o' (o with a little tag on the top) S e =_____(Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, use technology to determine Sb1 Sb1 =_____ (Round to four decimal places as required) (d) Assuming the residuals are normally distributed, test H0: B1 =0 versus H1:B1 =/ at the a = 0.005 level of significance. Use the P - value approach. The P - value for this test is _____ (Round to three decimal places as needed.

Solutions

Expert Solution

a) b 0= 120.20

b1 =-0.82

b)  standard error se =3.0984
c) Sb1 = 0.0980

d) The P - value for this test is =0.004


Related Solutions

For the data set shown below, complete parts (a) through (d) below. X 20 30 40...
For the data set shown below, complete parts (a) through (d) below. X 20 30 40 50 60 Y 98 95 91 81 68 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d). X Y 3 4 4...
For the data set shown below, complete parts (a) through (d). X Y 3 4 4 7 5 6 7 12 8 15 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals are...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5 7 8 Y 3 5 8 12 13 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5...
For the data set shown below, complete parts (a) through (d) below. X 3 4 5 7 8 Y 4 7 6 12 15 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.) (d) Assuming the residuals...
the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7...
the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7 8 y 5 7 8 12 13 ​(a)  Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing ​(Round to three decimal places as​ needed.) beta 1almost equalsb 1equals nothing ​(Round to three decimal places as​ needed.)
the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7...
the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7 8 y 5 7 6 12 13 ​(a)  Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing ​(Round to three decimal places as​ needed.) beta 1almost equalsb 1equals nothing ​(Round to three decimal places as​ needed.)(a)  Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals ??​(Round to three decimal places as​ needed.) beta 1almost equalsb...
Use the given data set to complete parts​ (a) through​ (c) below.​ Use alpha=​0.05.) x   y...
Use the given data set to complete parts​ (a) through​ (c) below.​ Use alpha=​0.05.) x   y 10   7.46 8   6.76 13   12.74 9   7.11 11   7.81 14   8.83 6   6.08 4   5.39 12   8.16 7   6.41 5   5.72 a. Construct a scatterplot. Choose the correct graph below. A. 04812160481216xy A scatterplot has a horizontal x-scale from 0 to 16 in increments of 2 and a vertical y-scale from 0 to 10 in increments of 1. Eleven points are plotted with...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0...
For the data and sample regression equation shown​ below, complete parts​ (a) through​ (c). x 0 3 5 5 5      ModifyingAbove y with caret equals 4.500 minus 0.917 xy=4.500−0.917x y 4 3 0 −2 1 a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. LOADING... Click the icon to view the table of normal scores.
5. Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=0.05.) x             ...
5. Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=0.05.) x              y 10           7.45 8              6.77 13           12.75 9              7.11 11           7.81 14           8.84 6              6.08 4              5.39 12           8.14 7              6.43 5              5.73 a. Construct a scatterplot Find the linear correlation​ coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=_____. ​(Round to three decimal places as​...
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals= 0.05.) x...
Use the given data set to complete parts (a) through (c) below. (Use alphaαequals= 0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 7.45 6.77 12.75 7.11 7.82 8.83 6.07 5.39 8.15 6.43 5.74 Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r=
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT