A campus researcher asked a random sample of 8 students about how many hours they work per week on average and their grade in their last math course. She then made a table for hours worked per week ? and their last math class score ?. a. Compute Sxx, Sxy, and Syy.b. Compute SST, SSR, and SSE.c. Compute the coefficient of determination, r^2. Round to four decimal places as needed.d. Determine the percentage of variation in the observed values of the response variable explained by the regression. e. State how useful the regression equation appears to be for making predictions.(circle)NOT VERY USEFUL VERY USEFULf. Find the regression equation. Round to four decimal places as needed The table provided lists a series of data points with two variables $ x $ and $ y $. The corresponding data values are:- For $ x $: 11, 13, 12, 22, 8, 16, 12, 21- For $ y $: 97, 76, 80, 78, 87, 83, 81, 77Below the table, several summations are calculated:- $\Sigma x = 115$ represents the sum of all $ x $ values.- $\Sigma y = 659$ represents the sum of all $ y $ values.- $\Sigma (xy) = 9344$ represents the sum of the products of corresponding $ x $ and $ y $ values.- $\Sigma x^2 = 1823$ represents the sum of the squares of each $ x $ value.- $\Sigma y^2 = 54,617$ represents the sum of the squares of each $ y $ value.This data can be used for various statistical analyses, such as calculating correlation coefficients or fitting a regression line to understand the relationship between the variables $ x $ and $ y $.

Y = a+ b(x) -- Regression equaltion

Answered: 11 13 12 22 8. 16 12 21 97 76 80 78 87…

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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A campus researcher asked a random sample of 8 students about how many hours they work per week on average and their grade in their last math course. She then made a table for hours worked per week ? and their last math class score ?.

a. Compute Sxx, Sxy, and Syy.

b. Compute SST, SSR, and SSE.

c. Compute the coefficient of determination, r^2. Round to four decimal places as needed.

d. Determine the percentage of variation in the observed values of the response variable explained by the regression.

e. State how useful the regression equation appears to be for making predictions.(circle)
NOT VERY USEFUL VERY USEFUL

f. Find the regression equation. Round to four decimal places as needed

The table provided lists a series of data points with two variables $ x $ and $ y $. The corresponding data values are:

- For $ x $: 11, 13, 12, 22, 8, 16, 12, 21
- For $ y $: 97, 76, 80, 78, 87, 83, 81, 77

Below the table, several summations are calculated:

- $\Sigma x = 115$ represents the sum of all $ x $ values.
- $\Sigma y = 659$ represents the sum of all $ y $ values.
- $\Sigma (xy) = 9344$ represents the sum of the products of corresponding $ x $ and $ y $ values.
- $\Sigma x^2 = 1823$ represents the sum of the squares of each $ x $ value.
- $\Sigma y^2 = 54,617$ represents the sum of the squares of each $ y $ value.

This data can be used for various statistical analyses, such as calculating correlation coefficients or fitting a regression line to understand the relationship between the variables $ x $ and $ y $.

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