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alukav5142 [94]
3 years ago
7

You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this informat

ion

Mathematics
1 answer:
Digiron [165]3 years ago
6 0
Option B is the correct answer because you start with 15 gallons (y-intercept), and the car consumes or decreases at 0.03 gal/per mile (your slope or m).
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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:

H_0: B_1=0\\\\H_1: B_1 \neq 0

The significance level is \alpha=0.10.

The degrees of freedom for a simple regression model is:

DF=n-2=20-2=18

The standard error estimated of the slope is 0.0053.

The test statistic t is calculated as:

t=\frac{B_1}{SE}=\frac{0.0214}{0.0053} = 4.0377

The P-value for a two-tailed test for a t=4.0377 and DF=18 is:

P=0.00078

The P-value is smaller than the significance level, so the effect is statistically significant. The null hypothesis is rejected.

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Answer:

Step-by-step explanation:

Use the Law of Cosines

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