(a)A study was made by retail merchant to determine the relation between weekly advertisingcosts (x) and sales (y). The data in Table 3 were recorded.Table 3: Advertising Cost and Sales (in RM)Advertising Cost (RM)Sales (RM)403852040025395203653047550440404902042050560405252548050510i. Find the equation of least squares regression line, ŷ = a + bx.ii. Find the linear correlation coefficient between advertising costs and sales. Interpret thisvalue.iii. What is the value of coefficient of determination? Interpret this value.

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Answered: i. Find the equation of least squares…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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The equation of a regression line, unlike the correlation, depends on the units we use to measure the explanatory and response variables. Here is the data on percent body fat and preferred amount of salt. Preferred amountof salt x 0.2 0.3 0.4 0.5 0.6 0.8 1.1 Percent body fat y 20 31 22 29 39 22 30 In calculating the preferred amount of salt, the weight of the salt was in milligrams. (a) Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in milligrams. (Round your answers to one decimal place.) ŷ = ? + ? x (b) A mad scientist decides to measure weight in tenths of milligrams. The same data in these units are as follows. Preferred amountof salt x 2 3 4 5 6 8 11 Percent body fat y 20 31 22 29 39 22 30 Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in tenths of milligrams. (Round your intercept to one decimal place and your slope…
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i. Find the equation of least squares regression line, ŷ = a + bx. ii. Find the linear correlation coefficient between advertising costs and sales. Interpret this value. iii. What is the value of coefficient of determination? Interpret this value.