The following 7 questions are related. a statistics practitioner in a large university is investigating the factors that affect salary of professors. he wondered if evaluations by students are related to salaries. to this end, he collected 100 observations on:

y = annual salary (in dollars)
x = mean score on teaching evaluation

to accomplish his goal, he assumes the following relationship:

y = β(0) + β(1)x + ε

then, using excel’s data analysis, he obtained the following result.

r2=0.23

coefficient

standard error

intercept

25675.5

11393

x

5321

2119

what is the p-value?

select one:

a. 0.02

b. 0.01

c. 0.17

d. 0.34

question 26

not yet answered

points out of 1.00

flag question

question text

at α=0.05,

select one:

a. we reject the null hypothesis in favor of the alternative

b. we do not reject the null hypothesis

question 27

the estimated regression model is given by y hat= b0+b1x = 25675.5 + 5321* x. what is the interpretation of b1?

select one:

a. when mean score on teaching evaluation increases by 1, average annual salary increases by 25675.5 dollars.

b. when mean score on teaching evaluation increases by 1, average annual salary increases by 5321 dollars.

c. when annual salary increases by a dollar, mean score on teaching evaluation increases by 5321.

d. when annual salary increases by a dollar, mean score on teaching evaluation increases by 25675.5.

question 28

what is the interpretation of? r2=0.23?

select one:

a. 23% of total variability in annual salaries (about the average) is due to changes in the mean score on teaching evaluation.

b. 23% of total variability in mean score on teaching evaluation (about the average) is due to changes in annual salary.

question 29

question text

suppose that the university uses only mean score of teaching evaluation to determine salary of professors. dr. stevens has worked as a part-time lecturer for several years and recently was offered a professor position. as a part-timer, his mean score teaching evaluation was 5.5. what is the predicted salary of dr stevens using the regression model developed above?

select one:

a. $5321

b. $54941

c. $29265.5

d. $25675.5