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
IRINA_888 [86]
3 years ago
7

A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

tion. The mean GPA was 2.9 with a standard deviation of 0.4. Starting salaries had a mean of $47200 with a SD of $8500. The correlation between the two variables was r = 0.72. The association appeared to be linear in the scatterplot. a) Write an equation of the model that can predict salary based on GPA and find the slope and intercept. b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning? c) What proportion of the variation in salaries is explained by variation in GPA?
Mathematics
1 answer:
frez [133]3 years ago
8 0

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a)y = a+bx

b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} =  \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300

a=y-bx = 47200-(15300 \times 29) = 2830

So, slope =  15300

Intercept =  2830

So, equation : y = 2830+15300x

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

y = 2830+15300 \times 3.3 = 53320

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = r^2 = (0.72)^2 =0.5184

You might be interested in
Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour wh
morpeh [17]
They would meet after 4 hours, as 65 x 4 = 260. And 60 x 4 = 240. If you add these, they become a value of 500. This also answers the 2nd question ; 65x + 60x = 500.
4 0
3 years ago
Read 2 more answers
. Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of
pickupchik [31]

Answer:

6is the answer

Step-by-step explanation:

7 0
3 years ago
Find the missing values of the variables. The diagram is not to scale. (Image attached below)thank you ! :)
aniked [119]

Answer:

\begin{gathered} x=\text{ 99}\degree \\ y\text{ = 64}\degree \end{gathered}

Explanation:

Here, we want to get the value of x and y

From the given image, the angle y and 116 lie on a straight line

The sum of the angles on a straight line is 180 degrees

Thus:

\begin{gathered} 116\text{ + y = 180} \\ y\text{ =180-116} \\ y\text{ = 64}\degree \end{gathered}

The sum of the internal angles of a polygon can be calculated by the formula:

180(n-2)

where n is the number of sides the polygon has

In the case of the given question, n is 4

Substituting the value of n, we have it that:

180(4-2)\text{ = 360 degrees}

To get the value of x:

\begin{gathered} x\text{ + y + 125 + 72 = 360} \\ But\text{ from above , y = 64}\degree \\ Substituting\text{ this:} \\ x\text{ + 64 + 125 + 72 = 360} \\ x\text{ = 360-125-64-72} \\ x\text{ = 99 } \end{gathered}

4 0
1 year ago
Express 0.495 in standard form
azamat

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

3 0
3 years ago
Read 2 more answers
Anyone who answers correctly gets brainlist!
Novay_Z [31]

Answer:

Step-by-step explanation:

3 3/8 = ((3×8)+3)/8= 27/8

8 0
3 years ago
Read 2 more answers
Other questions:
  • HURRY Please
    12·2 answers
  • SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
    15·2 answers
  • Mr.Chang had 30 boxes each box has 10 erasers If he gave each student has 2 erasers how many students could he give erasers to
    13·1 answer
  • Please do this question
    7·1 answer
  • What is the quotient of 6,484 ÷ 24?
    6·2 answers
  • What is the equation of a line that passes through points K(3, 5) and L(9, 3)?
    13·1 answer
  • The measures of the angles of a triangle are shown in the nigule<br> 41<br> 35°
    12·1 answer
  • How is everybody? BECUZZZZ IM AWESOME
    13·1 answer
  • Besties help thanks &lt;3
    11·1 answer
  • Simplify: 5−(1+3)⋅2 how would i get the answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!