fertilizer dose X on crop yield Y. Sample data were as follows: 3 Fertilizer 2 dose (X) Crop yield (Y) 4 2 An experiment was conducted to study the effect of 3 2 8 3 18 20 3 22 4 24 4 26 4 28 NOTE:{X=27, ΣΧ=87 ,ΣΥ=153 , ΣΥ=3333, ΣΧΥ=522 a.Give( Find)the least squares regression line Y-Bo^+ B₁^X, and giveo^ and R² Note: (Y₁-Y^)²=70.5and (X, -Xbar)²=6 . Computepoint estimate for the correlation coefficient r=p^? Test at a=0.05 the null hypothesis Ho: No fertilizer effect on crop yield? d.Give 95% Confidence interval for the population slope B₁of the regression line? Give 95% Confidence Interval (CI) for the population mean E(Y|X=4)? f. Give 95% Cl for the population mean difference E(Y|X=4)- E(Y|X=2)? g. Regard fertilizer as qualitativefactor( i.e. disregard factor X is quantitative), give(Find)ONE_WAY ANOVA for this problem, and giveo and R²? Note: (Y₁-Ybar)²=732and(n-1) S² = 30 for i=1,2,3 X. Test (at a=0.05) for no fertilizer effect on crop yield using the one-way ANOVA approach of part (g)? i.Giveusing ANOVA of part (g) 95% Confidence interval for the difference betweenthe mean crop yield at fertilizer doze X=4 and the mean crop yield at fertilizer doze X=2?Note :o^-30/6=5
fertilizer dose X on crop yield Y. Sample data were as follows: 3 Fertilizer 2 dose (X) Crop yield (Y) 4 2 An experiment was conducted to study the effect of 3 2 8 3 18 20 3 22 4 24 4 26 4 28 NOTE:{X=27, ΣΧ=87 ,ΣΥ=153 , ΣΥ=3333, ΣΧΥ=522 a.Give( Find)the least squares regression line Y-Bo^+ B₁^X, and giveo^ and R² Note: (Y₁-Y^)²=70.5and (X, -Xbar)²=6 . Computepoint estimate for the correlation coefficient r=p^? Test at a=0.05 the null hypothesis Ho: No fertilizer effect on crop yield? d.Give 95% Confidence interval for the population slope B₁of the regression line? Give 95% Confidence Interval (CI) for the population mean E(Y|X=4)? f. Give 95% Cl for the population mean difference E(Y|X=4)- E(Y|X=2)? g. Regard fertilizer as qualitativefactor( i.e. disregard factor X is quantitative), give(Find)ONE_WAY ANOVA for this problem, and giveo and R²? Note: (Y₁-Ybar)²=732and(n-1) S² = 30 for i=1,2,3 X. Test (at a=0.05) for no fertilizer effect on crop yield using the one-way ANOVA approach of part (g)? i.Giveusing ANOVA of part (g) 95% Confidence interval for the difference betweenthe mean crop yield at fertilizer doze X=4 and the mean crop yield at fertilizer doze X=2?Note :o^-30/6=5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please solve the red bracket parts, three parts only d, e and f
Transcribed Image Text:fertilizer dose X on crop yield Y. Sample data were as follows:
3
Fertilizer 2
dose (X)
Crop
yield (Y)
NOTE:{X=27 ΣΧ=87 ,ΣΥ=153 , ΣΥ=3333, ΣΧΥ=522
Give( Find)the least squares regression line Y=Bo^+ B₁^X, and giveo²^ and R²
Note: [(Y₁-Y^)²=70.5and (X; -Xbar)²=6 .
Computepoint estimate for the correlation coefficient r=p^?
C.Test at a=0.05 the null hypothesis Ho: No fertilizer effect on crop yield?
d.Give 95% Confidence interval for the population slope B₁of the regression line?
e.Give 95% Confidence Interval (CI) for the population mean E(Y|X=4)?
Give 95% CI for the population mean difference E(Y|X=4)- E(Y|X=2)?
g. Regard fertilizer as qualitativefactor( i.e. disregard factor X is quantitative),
give(Find)ONE_WAY ANOVA for this problem, and giveo and R²?
Note: (Y₁-Ybar)²-732and(n-1) S² = 30 for i=1,2,3
уте
Test (at a=0.05) for no fertilizer effect on crop yield using the one-way ANOVA
approach of part (g)?
i.Giveusing ANOVA of part (g) 95% Confidence interval for the difference
betweenthe mean crop yield at fertilizer doze X=4 and the mean crop yield at
fertilizer doze X=2?Note :o^-30/6=5
4
"
An experiment was conducted to study the effect of
2
3
2
8
3
18
20
3
22
4
24
4
26
4
28
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VIEWStep 3: Determine the 95% Confidence interval for the population mean E(Y/X=4)
VIEWStep 4: Determine 95% CI for the population mean difference E(Y/X=4)-E(Y/X=2)
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