Question

In: Statistics and Probability

For the data set shown​ below x   y 20   98 30   95 40   91 50   83...

For the data set shown​ below

x   y
20   98
30   95
40   91
50   83
60   70

​(a) Use technology to find the estimates of β0 and β1.

β0 ≈b0=114.60

​(Round to two decimal places as​ needed.)

β1≈b1=−0.68

​(Round to two decimal places as​ needed.)

​(b) Use technology to compute the standard​ error, the point estimate for σ.

se=3.7771

​(Round to four decimal places as​ needed.)

​(c) Assuming the residuals are normally​ distributed, use technology to determine sb1.

sb1equals=0.1194​

(Round to four decimal places as​ needed.)

​(d) Assuming the residuals are normally​ distributed, test H0: β1=0 versus H1: β1≠0 at the α=0.05 level of significance. Use the​ P-value approach.

Determine the​ P-value for this hypothesis test.

​P-value=__?__

​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

from above

p value =0.011


Related Solutions

For the data set shown​ below x   y 20   98 30   95 40   91 50   83...
For the data set shown​ below x   y 20   98 30   95 40   91 50   83 60   70 ​(a) Use technology to find the estimates of β0 and β1. β0≈b0equals=114.60 ​(Round to two decimal places as​ needed.) β1≈b1=−0.68 ​(Round to two decimal places as​ needed.) ​(b) Use technology to compute the standard​ error, the point estimate for σ. Se=__?__ ​(Round to four decimal places as​ needed.)
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) 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)...
Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70...
Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70 5 Draw a Histogram Draw a polygon After listening to YouTube “histogram and polygon,” explain how histogram is different and similar to polygon.
Given the data {20, 20, 30, 30, 40, 40, 50, 50, 60, 60}, calculate 1. Gini...
Given the data {20, 20, 30, 30, 40, 40, 50, 50, 60, 60}, calculate 1. Gini coefficient using the quintile distribution. 2. Draw the Lorenz curve with proper labels.
Given the data set below, use it to answer the following questions: 10, 20, 30, 40,...
Given the data set below, use it to answer the following questions: 10, 20, 30, 40, 50 a. Find the standard deviation b. Add 5 to each data set value and find the standard deviation. c. Subtract 5 from each value and find the standard deviation. d. Multiply by 5 on each value and find the standard deviation. e. Divide by 5 on each value and find the standard deviation. f. Generalize the results in parts a-e.
Given the data set below, construct a 95% confidence interval for the standard deviation. 98 71...
Given the data set below, construct a 95% confidence interval for the standard deviation. 98 71 124 116 118 131 102 93 95 99
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45,...
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 y-data (response variables): 1359.9265, 1353.3046, 220.7435, 964.6208, 1861.9920, 1195.3707, 1702.0145, 2002.0900, 1129.1860, 1864.5241, 1444.2239, 2342.5453, 2410.9056, 2766.2245, 2135.2241, 3113.7662, 4311.7260, 3313.1042, 4072.0945 Compute a best fit line to the data. Report: a. The slope coefficient, β1:   b. The intercept coefficient, β0:    c. The standard error of the residuals σε:   d. The Adjusted...
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45,...
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 y-data (response variables): 1359.9265, 1353.3046, 220.7435, 964.6208, 1861.9920, 1195.3707, 1702.0145, 2002.0900, 1129.1860, 1864.5241, 1444.2239, 2342.5453, 2410.9056, 2766.2245, 2135.2241, 3113.7662, 4311.7260, 3313.1042, 4072.0945 Compute a best fit line to the data. Report: a. The slope coefficient, β1: ___ b. The intercept coefficient, β0: ___ c. The standard error of the residuals σε: ___ d....
Here is a bivariate data set. x y 40.6 20 40 34.7 23.9 -7.8 37.1 66.9...
Here is a bivariate data set. x y 40.6 20 40 34.7 23.9 -7.8 37.1 66.9 39.5 86.1 42.9 21.7 44 -18.8 17.8 62.9 39.8 79.1 40.4 2.1 54.6 133.4 52 83.3 45.7 114.5 29.2 16.9 40.6 106.4 22.8 34.8 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT