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Mathematics, 25.12.2019 05:31 0436500
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
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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
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