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
Ahat [919]
3 years ago
15

Suppose you are interested in the effect of skipping lectures (in days missed) on college grades. You also have ACT scores and h

igh school GPA (HSGPA). You run the following regression model numbers in parentheses below each coefficient represent standard errors of each coefficient) colGPA =2.52+0.38H SGPA+0.015 ACT-0.5skip (0.2) (0.3) (0.0001)
(a) Interpret the intercept in this model.
(b) Interpret BACT from this model.
(c) What is the predicted college GPA for someone who scored a 25 on the ACT, had a 3.2 high school GPA and missed 4 lectures. Show your work.
(d) Is the estimate of skipping class statistically significant? How do you know? Is the estimate of skipping class economically significant? How do you know? (Hint: Suppose there are 45 lectures in a typical semester long class).
Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

a) For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

b) This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

c) If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

Step-by-step explanation:

For this case we have the following multiple regression model calculated:

colGPA =2.52+0.38*HSGPA+0.015*ACT-0.5*skip

Part a

(a) Interpret the intercept in this model.

For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

(b) Interpret \hat \beta_{ACT} from this model.

This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

(c) What is the predicted college GPA for someone who scored a 25 on the ACT, had a 3.2 high school GPA and missed 4 lectures. Show your work.

For this case we can use the regression model and we got:

colGPA =2.52 +0.38*3.2 +0.015*25 - 0.5*4 = 26.751

(d) Is the estimate of skipping class statistically significant? How do you know? Is the estimate of skipping class economically significant? How do you know? (Hint: Suppose there are 45 lectures in a typical semester long class).

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

You might be interested in
PLEASE HELP !!! Will give brainest !!!!!​
Margarita [4]

Answer:

9.6

2.4.

Step-by-step explanation:

It is easy. If you do with calculator it's easy.

8 0
2 years ago
Read 2 more answers
As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your
olga nikolaevna [1]

Answer:

821.95

Step-by-step explanation:

5 0
2 years ago
How wide is a rectangle with a length of 38 cm and 8 dm perimeter?
Lesechka [4]
Perimeter is all four sides added together, therefore.... 
 
38+38= 76

8dm= 80cm
80cm*2=160 cm

76+160= 236<span />
8 0
3 years ago
Read 2 more answers
PLEASE HELP BEST ANSWER ILL GIVE BRAINLIEST!!
MrRa [10]
It’s b) an =-125(-^2/5)^n
4 0
3 years ago
Simplify (question is in the picture)
Sholpan [36]
Your answer is 26.9 so u could round it up to 27
3 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is 4 meters longer than the width. if the area is 21 square​ meters, find the​ rectangle's dimensions.
    9·1 answer
  • What does X equal? 14x+24=18x-32
    6·2 answers
  • What is the circumference of one of the semicircles in this figure?
    11·2 answers
  • While sorting some change into piggy banks, belle put 2 coins in the first piggy bank, 8 coins in the second piggy bank, 32 coin
    9·2 answers
  • Evaluate the number of permutations of 16 things taken 3 at a time.
    8·1 answer
  • Amelie is shopping for children's books and puzzle books. She wants to purchase at least 2 more children's books than puzzle boo
    5·1 answer
  • What is the dashed green part of the figure below?
    9·1 answer
  • Find the value of x for which m || n
    12·2 answers
  • Abdul Hayee had and annual income of $ 21 500 in 2018.
    14·1 answer
  • Use the Change of Base Formula to evaluate the expression. Then convert it to a logarithm in base 8. Round to the nearest thousa
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!