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Darya [45]
3 years ago
5

In the simple linear regression​ model, the regression​ slope:(A) indicates by how many units Y ​increases, given a​ one-unit in

crease in X.(B) when multiplied with the explanatory variable will give you the predicted Y.(C) indicates by how many percent Y​ increases, given a one percent increase in X.(D) represents the elasticity of Y on X.
Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

(A) indicates by how many units Y ​increases, given a​ one-unit increase in X.

Step-by-step explanation:

The form for simple linear regression model for outcome y which is a function of predictor x is:

y = β₀ + β₁x + ε  

<u>For this model, β₀ is population parameter which corresponds to intercept and β₁ is the true population slope coefficient which is defined as predicted increase in the y for  a unit increase in the x. </u>

<u>Hence option (A) indicates by how many units Y ​increases, given a​ one-unit increase in X  is correct.</u>

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1. What is the minimum value of y in the graph below<br> y
nexus9112 [7]

Answer:

-1

Step-by-step explanation:

3 0
3 years ago
An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

                                    = [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
2 years ago
Can someone please help me with 19a?
Mila [183]

Answer:

d(t) = 60t

Step-by-step explanation:

When d = 0, t = 0 as well, so the y-intercept in 0. The slope of the line would be 60.

Hope this helps!

7 0
2 years ago
A cell phone company tests 75 cell phones and finds that 3 of them have defects. Out of 450 cell phones, how many would you expe
Hoochie [10]

Answer:

18 cellphones

Step-by-step explanation:

75 x 6= 450

3 x 6= 18

3 0
3 years ago
Solve:C=10d + 5n for n
katovenus [111]

n =  - 2d +  \frac{c}{5}
hope this helps
5 0
2 years ago
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