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
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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