1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
In the diagram below, ABC - DEC. What is the value of x?<br> A 5<br> B. 3<br> C. 6<br> D. 4<br>​
Anastaziya [24]

Answer:

C

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EC} = \frac{AC}{DC}, substituting values

\frac{21}{7} = \frac{24-x}{x} ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C

7 0
3 years ago
Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0
1 year ago
NO ASSESSMENTS/NO LINKS!!
alexdok [17]

9514 1404 393

Answer:

  g(x) = x -1

Step-by-step explanation:

Translation of a function by (right, up) = (h, k) is accomplished by ...

  g(x) = f(x -h) +k

Here the translation is 4 units left, so h=-4 and k=0. This means ...

  g(x) = f(x +4) = (x+4) -5

  g(x) = x -1

3 0
3 years ago
What is the exact volume of the cylinder enter your answers in the term of pie in the Box 5cm 15cm​
olga_2 [115]

Answer:

Valume of cylinder : πr² × h = π × 5² × 15 = 375π ≈ 1177.5 cm³

8 0
3 years ago
What is 4 (x+7) + 7 (x+7)
kakasveta [241]
The answer is 11x + 7
4 0
2 years ago
Other questions:
  • Explain how 2 ones is the same as 20 tenths
    9·1 answer
  • −3x2 - 6x + 1<br> find (8)<br> Evaluate the function.
    6·2 answers
  • One side of a regular hexagon is 18 cm. which is the perimeter
    13·2 answers
  • A car travels 120 miles in 3 hours (with a constant spee
    8·2 answers
  • Dr. Potter provides vaccinations against polio and measles.
    15·1 answer
  • Jessie thinks that the first step in solving the equation shown below could be to use the addition property of his equality. His
    8·2 answers
  • Question 18. Suppose we have a piece of cardboard that is 40 cm by 25 cm.
    12·1 answer
  • Which quadratic equation has roots of 5 and 7
    15·2 answers
  • 62% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a sing
    13·1 answer
  • What is the median of the data set {23 , 16 , 19 , 17 , 15 , 19 , 17 , 24 }
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!