Y Values X Values 3.1 60 3.6 61 3.8 62 4 63 4.1 65 To the following questions, c
ID: 1180796 • Letter: Y
Question
Y Values
X Values
3.1
60
3.6
61
3.8
62
4
63
4.1
65
To the following questions, carry out answers to 3 decimal places if needed. Do not round answers up or down.
b=
a=
Y=
3. Calculate the standard error of estimate and the standard error of Coefficient
Standard error of estimate =
Standard error of Coefficient =
4. Make a prediction of Y when X = 64.
Prediction y=
5. Calculate a 95% prediction interval when X = 64.
Predicted value of y will lie between the (lower value) and (higher value)
6. Compute the coefficient of determination.
Coefficient of determination =
Y Values
X Values
3.1
60
3.6
61
3.8
62
4
63
4.1
65
Explanation / Answer
SUMMARY OUTPUT Regression Statistics Multiple R 0.911872 R Square 0.831511 Adjusted R Square 0.775349 Standard Error 0.187804 Observations 5 ANOVA df SS MS F Significance F Regression 1 0.522189 0.522189 14.80536 0.030987 Residual 3 0.105811 0.03527 Total 4 0.628 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -7.96351 3.037596 -2.62165 0.078889 -17.6305 1.703472 -17.6305 1.703472 X VALUES 0.187838 0.048817 3.847774 0.030987 0.032479 0.343196 0.032479 0.343196 RESIDUAL OUTPUT Observation Predicted Y VALUES Residuals Standard Residuals 1 3.306757 -0.20676 -1.27123 2 3.494595 0.105405 0.648079 3 3.682432 0.117568 0.722857 4 3.87027 0.12973 0.797636 5 4.245946 -0.14595 -0.89734
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.