Question

The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were...

The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 10 students in a beginning computer-science course. The results were as follows. Calculate the estimated standard error of regression, sb1. (Give your answer correct to two decimal places.)

x 5 18 8 15 13 19 13 22 7 12
y 16 25 35 18 22 19 33 21 22 33
1 0
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Answer #1

Let's use excel:

Step 1) First enter the given data set in excel columns.

Step 2) Then click on Data >>> Data Analysis >>>Regression >>>>OK

Step 3) Input Y Range: Select the data of column "B"

Input X Range: Select the data of column "A"

Click on Lable

then Click on Ouput Range

Look the following Image

File Home nsert Page Layout Formulas Data Review View Data Analysis Clear ReapplyText to Removeotal 的|Connections Al AZ roup 団Properties 4. Ungroup Get External Refresh I SortFitd Columns Duplicates Data AllEdit LinksA Connections Sort & Filter Data Tools Outline Analysis D1 Regression E Input OK Input Y Range Input X Range Labels $B$1:$B$11 $A$1:$A$11 Constant is Zero Cancel 5 18 8 15 13 19 13 16 25 35 18 Help 4 Confidence Level: 95 % Output options 19 $D$1 Output Range New Worksheet Ply 21 ONew Workbook Residuals 10 12 Residuals Standardized Residuals Residual Plots Line Fit Plots Normal Probability 14 15 16 17 18 Normal Probability Plots

Then Click on OK, we get following result.

SUMMARY OUTPUT 16 25 35 18 18 8 15 13 19 13 Regression Statistics Multiple R 0.155518 R Square 0.024186 Adjusted F -0.09779 Standard 7.194924 Observati 6 19 10 21 ANOVA 10 MS F gnificance F 12 Regressior Residual Total 1 10.26450663 10.26451 0.198283 0.667913 8 414.1354934 51.76694 12 13 14 15 16 17 18 19 424.4 P-value Lower 95%Upper 95969wer 95.09,pper 95.0% t Stat Coefficients Standard Error Intercept 26.96613 6.195710024 4.352387 0.002437 12.67879 41.25346 12.6787941.25346 0.1944 0.436577501 -0.44529 0.667913 -1.20115 0.812346 -1.20115 0.812346

From the above output the estimated standard error of regression, sb1 is 0.44 (after rounding upto two decimal places).

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