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den301095 [7]
2 years ago
9

Data on average high temperatures​ (in degrees​ Fahrenheit) in July and precipitation​ (in inches) in July for 48 cities is used

to find a regression line and correlation coefficient. PRECIP​ = 2.0481​ + 0.0067 HIGH R​ (correlation coefficient)​ = 0.0358 ​(1) Give the value of the slope of the regression line. ​(2) Identify the predictor variable in this context. ​(3) Identify the response variable in this context. ​(4) Clearly interpret the numerical value of the slope in the context of the​ problem, namely connecting​ "precipitation" and​ "average high​ temperature". ​(5) Predict the amount of precipitation​ (two places past the​ decimal) for a city that has an average high temperature in July of 87.31 degrees Fahrenheit.
Mathematics
1 answer:
wel2 years ago
5 0

Answer:

Explained below.

Step-by-step explanation:

The regression equation to predict amount of precipitation​ (in inches) in July from the average high temperatures​ (in degrees​ Fahrenheit) in July is as follows:

PRECIP​ = 2.0481​ + 0.0067 HIGH

(1)

The value of the slope of the regression line is, 0.0067.

(2)

The predictor variable in this context is the average high temperatures​ (in degrees​ Fahrenheit) in July.

(3)

The response variable in this context is the amount of precipitation​ (in inches) in July.

(4)

The slope of a regression line is average rate of change in the dependent variable with one unit change in the independent variable.

The slope here is 0.0067.

This value implies that the average rate of change in the amount of precipitation​ (in inches) in July increases by 0.0067 inches with every 1°F increase in the average high temperatures​.

(5)

Compute the mount of precipitation for a city that has an average high temperature in July of 87.31°F  as follows:

PRECIP​ = 2.0481​ + 0.0067 HIGH

             = 2.0481​ + 0.0067 × 87.31°F

             = 2.633077

             ≈ 2.63 inches.

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Alexxx [7]

Answer:

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Step-by-step explanation:

Replace the 2 for each k.

\frac{1}{4}2^{5} - 3k^{3} + k^{2} - k

then solve it using PEDMAS: exponents first

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2 years ago
What is the range of the function f(x)= -2x-4 when the domain is {-3,-2,-1}?
Paha777 [63]
F(-3)=(-2)*(-3)-4=6-4=2

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3 years ago
Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb
Maksim231197 [3]

Answer:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: "Suppose that the minimum and maximum ages for typical textbooks currently used in college courses are 0 and 8 years. Use the range rule of thumb to estimate the standard deviation.

Estimate the minimum and maximum ages for typical textbooks currently used in college courses, then use the range rule of thumb to estimate the standard deviation. Next, find the size of the sample required to estimate the mean age (in years) of textbooks currently used in college courses. Use a 90% confidence level and assume that the sample mean will be in error by no more than 0.25 year."

Solution for the problem

First we need ti find the estimation for the standard deviation using the Rule of thumb, with the following formula:

s \approx \frac{R}{4}

Where R is the range defined as :

R = Max - Min = 8-0 = 8

So then the deviation would be approximately:

s \approx 4

Important concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error (ME) is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (1)

And on this case we have that ME =\pm 0.25 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (2)

We can assume that the estimator for the population deviation from the rule of thumb is \hat \sigma = s= 4

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.64, replacing into formula (2) we got:

n=(\frac{1.64(4)}{0.25})^2 =688.537 \approx 689

So the answer for this case would be n=689 rounded up to the nearest integer

6 0
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Answer:

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Example:

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Step-by-step explanation:

6 0
3 years ago
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Ivan

Answer:

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Step-by-step explanation:

um if u want me to answer u it has to be a question

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