Question

Consider the following table: X 40 41 40 42 40 40 42 41 41 42 Y...

Consider the following table:
X 40 41 40 42 40 40 42 41 41 42 Y 32 43 28 45 31 34 48 42 36 38
Which one of the following statements is incorrect?
1. The slope is 6:33 2. The y–intercept is221:33 3. O Y D 6:33221:33Xi 4. Coefficient of determination is 0:7022 5. When X D 30 then O Y D31:43

Math   Statistics-And-Probability   
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Answer #1

Ans ) using excel>data>data analysis>Regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.838019
R Square 0.702275
Adjusted R Square 0.66506
Standard Error 3.829708
Observations 10
ANOVA
df SS MS F Significance F
Regression 1 276.7667 276.7667 18.87045 0.002465
Residual 8 117.3333 14.66667
Total 9 394.1
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept -221.333 59.64225 -3.71102 0.005948 -358.869 -83.7981
x 6.333333 1.457945 4.344014 0.002465 2.971306 9.695361


1. The slope is 6.33 is correct

2. The y–intercept is 221.33 is incorrect

3. Y= -221.33+6.33 x is correct

4. Coefficient of determination is 0:7022 is correct

5. When x= 30 then Y = -31:43 is correct

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