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Bumek [7]
2 years ago
12

A tree is currently 10 feet tall and grows 2 feet per year.

Mathematics
2 answers:
MrRa [10]2 years ago
7 0
F=2x+10
The tree will be 40 feet tall in 15 years because 2(15)+10=40 or 30+10=40.
guajiro [1.7K]2 years ago
6 0

Answer:

10+2x

the tree would be 40 feet tall in 15 years.

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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.

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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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