Find the equation of the line passing through the points A (2,1) B (7,9)
1 answer:
y - y₁ = m(x - x₁)
y - 1 = 1³/₅(x - 2) Point - Slope Form
y - 1 = 1³/₅(x) - 1³/₅(2)
y - 1 = 1³/₅x - 3¹/₅
+ 1 + 1
y = 1³/₅x - 2¹/₅ Slope - Intercept Form
-1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
-1³/₅x - y = -2¹/₅
-1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
1³/₅x - y = 2¹/₅ Standard Form
1³/₅(0) - y = 2¹/₅
0 - y = 2¹/₅
-y = 2¹/₅
-1 -1
y = -2¹/₅ Y - Intercept
(x, y) = (0, -2¹/₅)
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Answer:
Both the variables are important for the regression analysis and cannot be deleted.
Step-by-step explanation:
(1)
The hypothesis for for the testing of coefficient β₁ are:
<em>H</em>₀: β₁ = 0 vs. <em>H</em>ₐ: β₁ ≠ 0
The test statistic is:
It is provided that H₀ is rejected if <em>t</em> > 2.042.
The test statistic value, <em>t</em> = 3.753 > 2.042.
Thus, the null hypothesis is rejected.
<u>Conclusion:</u>
There is a significant relationship between the regression variable and the dependent variable.
(2)
The hypothesis for for the testing of coefficient β₂ are:
<em>H</em>₀: β₂ = 0 vs. <em>H</em>ₐ: β₂ ≠ 0
The test statistic is:
It is provided that H₀ is rejected if <em>t</em> < -2.042.
The test statistic value, <em>t</em> = -3.046 < -2.042.
Thus, the null hypothesis is rejected.
<u>Conclusion:</u>
There is a significant relationship between the regression variable and the dependent variable.
Thus, both the variables are important for the regression analysis and cannot be deleted.