For the data set shown below, complete parts (a) through (d) below. x 3 4 5 7 8 y 5 7 6 13 14 (a) Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals negative 1.360 (Round to three decimal places as needed.) beta 1almost equalsb 1equals 1.919 (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for sigma. s Subscript eequals 1.4929 (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s Subscript b 1 Baseline . s Subscript b 1equals nothing (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test Upper H 0 : beta 1 equals 0 versus Upper H 1 : beta 1 not equals 0 at the alpha equals 0.05 level of significance. Use the P-value approach. The P-value for this test is nothing. (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below.
a)
bo=-1.361
b1=1.919
b)
SSE =Syy-(Sxy)2/Sxx= | 6.686 |
s2 =SSE/(n-2)= | 2.2287 | |
std error σ = | =se =√s2= | 1.4929 |
c)
estimated std error of slope =se(β1) =s/√Sxx= | 0.3600 |
d)
test stat t = | β1/se(β1)= | = | 5.330 |
p value: | = | 0.013 |
reject the null hypothesis and conclude that there is a relationship between x and y.
For the data set shown below, complete parts (a) through (d) below. x 3 4 5...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
As concrete cures, it gains strength. The following data represent the 7-day and 28-day strength in pounds per square inch (psi) of a certain type of concrete. Complete parts (a) through (f) below. 7-Day Strength (psi), x 3340 3380 3330 2300 2480 28-Day Strength (psi), y 4630 5020 4850 4070 4120 (a) Treating the 7-day strength as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing (Round to...
For the data set shown below, complete parts (a) through (d) below. x 3 4 5 7 8 y 3 7 6 11 14 (a) Find the estimates of beta 0 and beta 1 . beta 0 almost equalsb 0equalsnothing (Round to three decimal places as needed.) beta 1 almost equalsb 1equalsnothing (Round to three decimal places as needed.)
For the data set shown? below, complete parts ?(a) through ?(d) below x 20 30 40 50 60 y 102 97 89 85 72 (a) Use technology to find the estimates of ?0 and ?1. (b) Use technology to compute the standard? error, the point estimate for ?. ?(c) Assuming the residuals are normally? distributed, use technology to determine s Subscript b 1 Baseline . (d) Assuming the residuals are normally? distributed, test Upper H 0 : ?1=0 versus Upper...
For the data set shown below, complete parts (a) through (d) below x 20 30 40 50 60e yi 98 95 93 83 70 (a) Use technology to find the estimates of Po and β1 Po b,-□ (Round to two decimal places as needed.) β1 ~ b1-D (Round to two decimal places as needed) (b) Use technology to compute the standard error, the point estimate for σ. Round to four decimal places as needed) (c) Assuming the residuals are normally...
For the data set shown below, complete parts (a) through (d) below. x3 4 5 7 89 y 5 6 8 13 15 (a) Find the estimates of Bo and by B, by = - 1.965 (Round to three decimal places as needed.) B, by = 2.105 (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for o. se = 0.5807 (Round to four decimal places as needed.) (c) Assuming the residuals are normally...
For the data set shown below, complete parts (a) through (d) below. x 2020 3030 4040 5050 6060 y 9898 9595 8989 8383 6868 (a) Use technology to find the estimates of beta 0β0 and beta 1β1. beta 0β0almost equals≈b 0b0equals=nothing (Round to two decimal places as needed.) beta 1β1almost equals≈b 1b1equals=nothing (Round to two decimal places as needed.)
For the data set shown below, complete parts (a) through (d) below. x 33 44 55 77 88 y 44 66 77 1313 1515 (a) Find the estimates of beta 0β0 and beta 1β1. beta 0β0almost equals≈b 0b0equals= -3.244 (Round to three decimal places as needed.) beta 1β1almost equals≈b 1b1equals=2.267 (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for sigmaσ. s Subscript eseequals=nothing (Round to four decimal places as needed.) b) Compute the...
partial credit, 14.1.13-T A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 5 children and measures their height and head circumference. The data are summarized below. Complete parts (a) through (f) below. Height (inches), x 26 27.75 27.5 26.5 24.5 Head Circumference (inches), y 17.3 17.6 17.5 17.3 17.1 (a) Treating height as the explanatory variable, x, use technology to determine the estimates of beta 0 and beta 1....
Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n equals 1099 and x equals 578 who said "yes." Use a 95 % confidence level. a) Find the best point estimate of the population proportion p. nothing (Round to three decimal places as needed.) b) Identify the value of the margin of error E. Eequals nothing (Round to...