A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The data are stored in the accompanying table. The least-squares regression equation for these data is Y; = - 10,716.747 + 2.364X; and the standard error of the estimate is Syx = 15,839.846. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below. E Click the icon to view the data on program per-year tuition and mean starting salary. a. At the 0.05 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition? Determine the hypotheses for the test. Họ: Po * 42140.91385 H;: B1 42140.91385 (Type integers or decimals. Do not round.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
icon
Related questions
Question
100%

Please see the attached images for problem data. Appears that I got the problem wrong so  can use some great help!

 

Thanks

 

Data:

 

Program Per-Year Tuition ($) Mean Starting Salary Upon Graduation ($)
63724 153070
66630 155000
68013 146993
68300 145146
66412 139879
66543 150987
67671 150702
69927 148214
64602 133363
63552 146360
67772 146066
60752 148017
62369 141289
57816 136211
55621 122130
56385 118657
56937 128143
50884 130983
53195 131361
51351 120554
45123 114333
48225 111894
49798 109446
46568 106959
39254 81908
47213 80788
47633 99916
51018 79430
37216 88340
32877 76172
42643 73728
40997 52291
48807 66277
34080 103181
24201 56567
42467 79381
39070 52931
A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a
predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The data are stored in the accompanying table. The least-squares
regression equation for these data is Y; = - 10,716.747 + 2.364x, and the standard error of the estimate is Syy = 15,839.846. Assume that the straight-line model is appropriate and
there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below.
E Click the icon to view the data on program per-year tuition and mean starting salary.
a. At the 0.05 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition?
Determine the hypotheses for the test.
Ho: Po
* 42140.91385
H,:
B1
= ||42140.91385
(Type integers or decimals. Do not round.)
Transcribed Image Text:A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The data are stored in the accompanying table. The least-squares regression equation for these data is Y; = - 10,716.747 + 2.364x, and the standard error of the estimate is Syy = 15,839.846. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below. E Click the icon to view the data on program per-year tuition and mean starting salary. a. At the 0.05 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition? Determine the hypotheses for the test. Ho: Po * 42140.91385 H,: B1 = ||42140.91385 (Type integers or decimals. Do not round.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Paths and Circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax