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Testing the Slope
The strong point of the relationship among the dependent variable and each of the independent variables can be determined using 3 methods:
1) Correlation coefficient (r): Correlation coefficient measures the degree of association between two variables such as the cost and the activity level.2) Standard error of the slope (Sb): Correlation coefficient measures the degree of association between two variables such as the cost and the activity level.3) Z or t statistics:
If n ≥30 we use Z, if, n < 30 we use t statistics. These statistics can be used to test the hypothesis:
Ho: B = O that is, there is no relationship between X and YHA: B≠ O There is a significant relationship between X and Y
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Consider the following quality data for three different manufacturers of automobile weather-strips: Weather-strip Bulb Dimension Specification y=20 +or- 4mm
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