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Len [333]
3 years ago
14

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra

veled (miles). The fitted regression is Time = -7.126 + .0214 Distance, based on a sample of 20 shipments. The estimated standard error of the slope is 0.0053. Find the critical values for a two-tailed test to see if the slope is different from 0, using α = 0.10.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

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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Multiple please help me out. (picture is for question 4)
Cloud [144]

Answer:

1. 9/10

2. 1/5

3. 4/9

4. 1

Step-by-step explanation:

The general equation of the line is:

(y - y0) = m ( x - x0), where "m" represents the slope is: (y1 - y0) / (x1 - x0).

1. From the statement we know that (x1, y1) = (18, 17) and (x0, y0) = (8,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (17 - 8)/(18 - 8) = 9/10.

The slope is 9/10.

2. From the statement we know that (x1, y1) = (8, 9) and (x0, y0) = (3,8)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (9 - 8)/(8 - 3) = 1/5.

The slope is 1/5.

3. From the statement we know that (x1, y1) = (15, 15) and (x0, y0) = (6,11)

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (15 - 11)/(15 - 6) = 4/9.

The slope is 4/9.

4. From the graph, we know that the line passes through the points (-5, -4) and (-7, -6). So we know that (x1, y1) = (-5, -4) and (x0, y0) = (-7,-6).

Then the slope is:

m= (y1 - y0) / (x1 - x0) = (-4 - (-6))/(-5 - (-7)) = 2/2 = 1.

The slope is 1.

4 0
3 years ago
Nine yards of ribbon are cut into 8 equal pieces what is the length of each piece of ribbon. Write a division expression to repr
PSYCHO15rus [73]

Answer:

x=\frac{9}{8}\ yards

x=1.125\ yards

Step-by-step explanation:

Let's call x the length of each piece in yards

If the ribbon is cut into 8 equal pieces then the sum of the pieces is:

x+x+x+x+x+x+x+x=8x

Then:

8x=9\ yards

Now we solve the equation for x

8x=9\ yards

Divide both sides of equality by 8

\frac{8}{8}x=\frac{9}{8}\ yards

x=\frac{9}{8}\ yards

So the length of each piece is \frac{9}{8} of a yard.

This is: 1.125 yards

6 0
3 years ago
One serving of tortilla soup is 1 2/3 cups. A restaurant cook makes 50 cups
maw [93]
No there is not. 50 divided by 1 2/3 gives you 30 which means it can’t create 35 servings.
7 0
3 years ago
F(x) = 7 -<br> What is the inverse
slava [35]

Answer:

Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
the sales tax in your city is 8.8%, and an item cost $63 before tax. how much tax would you pay on that item?round to the neares
Free_Kalibri [48]

Answer:

$68.54

Step-by-step explanation:

If you multiply the percent, 8.8% or .088 by 63 (the price), then add the tax to the item, the total adds to 68.54

3 0
3 years ago
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