Answered: (d) Fill in the blanks in the following…

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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(d) Fill in the blanks in the following table.
Source of Variation
DF
Mean Square
F Value
Sum of Squares
SSR = 16059
1
MSR
=
16058.9
?
Regression
Residual
15366
12
??
SSE = ?
MSE = =
?
(e) (i) Write down the null hypothesis, that there is no effect on mean sales from
increasing the amount of shelf space, versus a suitable alternative hypothesis.
(ii) Compare the above value of F with the table value Fl(0.01).
(iii) Comment on your findings.

Transcribed Image Text:A baker is interested to find the relationship between the width of the shelf space for her brand of cookies (x, in feet) and monthly sales (y) of the product in a supermarket. Hence, she fits a model relating monthly sales y to the amount of shelf space x her cookies receive that month. That is, she is fitting the model in the following way y=B+₂x+e where ~ N(0,0¹). x (shelf space) y (weekly sales) weekly sales VS shelf space 3 2 6 575 5 3 450 8 630 4 435 2 498 6 534 3 530 2 457 7 2 3 5 7 Using R, we obtained the following output. > mody <- 1m (y - x) > summary (mody) Call: lm (formula y - x) Residuals: Min 10 Median 3Q Max -67.022 -31.346 -0.631 33.654 54.734 Coefficients: (Intercept) 429.048 26.519 16.179 1.69e-08 *** x 18.244 5.643 3.233 0.00898 ** Signif. codes: 0*** 0.001 **0.01 0.05 0.11 Residual standard error: 39.2 on 10 degrees of freedom Multiple R-squared: 0.511, Adjusted R-squared: 0.4621 F-statistic: 10.45 on 1 and 10 DF, p-value: 0.008979 > anova (mody) Analysis of Variance Table Response: y X 1 Df Sum Sq Mean Sq F value Pr (>F) 16059 16058.9 10.451 0.008979 ** Residuals 10 15366 1536.6 Signif. codes: 0 '*** 0.001 '**' 0.01 0.05. 0.11 8 4 Estimate Std. Error t value Pr(>|t|) .

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