%). Assume that you are interested in whether or not expenditures per pupil are related to the average performance of pupils on a standardized basic skills examination. expenditures per pupil average performance 70 110 150 190 220 180 170 200 90 150 100 130 120 160 150 180 110 150 170 210 190 220 SUMMARY OUTPUT Regression Statistics Multiple R 0,84 R Square 0,71 Adjusted R Square 0,68 Standard Error 19,28 Observations 11 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 83,08 19,43 4,28 0,00 39,12 127,04 expenditures per pupil 0,63 0,13 4,74 0,00 0,33 0,93 What is the percent of variation in the deposits made accounted for by the linear regression of the deposit made on the number of customers? Find coefficient of correlation and interpret it. Provide an interpretation for the slope of the estimated regression equation.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

%). Assume that you are interested in whether or not expenditures per pupil are related to the average performance of pupils on a standardized basic skills examination.

expenditures per pupil	average performance
70	110
150	190
220	180
170	200
90	150
100	130
120	160
150	180
110	150
170	210
190	220

SUMMARY OUTPUT

Regression Statistics
Multiple R	0,84
R Square	0,71
Adjusted R Square	0,68
Standard Error	19,28
Observations	11

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	83,08	19,43	4,28	0,00	39,12	127,04
expenditures per pupil	0,63	0,13	4,74	0,00	0,33	0,93

What is the percent of variation in the deposits made accounted for by the linear regression of the deposit made on the number of customers?
Find coefficient of correlation and interpret it.
Provide an interpretation for the slope of the estimated regression equation.
Is the slope b₁statistically significant? Use a = 0.01. Why or why not?
Does the intercept make sense for these data? Why or why not?