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Answer:
The critical values for α = 0.10 are t=±1.7341.
Step-by-step explanation:
The critical values for a two tailed test are the values of t that are placed in the limit of the significance level. If the test statistic t is greater than this critical values, the null hypothesis is rejected.
To determine this values, we first divide the significance level by 2. With a t-table or app, we can determine the t values for P(x>|t|)=α/2=0.05.
In this case, for a degrees of freedom DF=20-2=18, we have the test statistic t=±1.7341 that satisfies the condition.
Solution of the hypothesis test
In this problem we want to prove if the slope of the regression model is different from 0, by means of a hypothesis test.
First, we state the null and alternative hypothesis:
The significance level is .
The degrees of freedom for a simple regression model is:
The standard error estimated of the slope is 0.0053.
The test statistic t is calculated as:
The P-value for a two-tailed test for a t=4.0377 and DF=18 is:
The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.
Answer:
<h2>10. C. (2, -1)</h2><h2>11. B. (-2, -4)</h2>Step-by-step explanation:
10.
The y values cancel out if you add the equations
5x = 10
x = 2
plug in x
2 - 2y = 4
-2y = 2
y=-1
Answer: C. (2, -1)
11.
In order to get terms to cancel out, multiply the top by 3 and bottom by 2
The y values cancel out if you add the equations
10x = -20
x = -2
plug in x
6(-2) - 2y = -4
-12 - 2y = -4
-2y = 8
y = -4
Answer: B. (-2, -4)
Answer:
Step-by-step explanation:
The reciprocal of a number n is
Given 8 , change to an improper fraction
= =
, thus
reciprocal = =