A random sample of 5 families had the following income (X) and food expenditure(Y) (in $ per week)Y1511141215Find Mean ofXFind Mean ofYCalculate the coefficient of determinationFind the Karl Pearson's Correlation Coefficient

We have given that a random sample of 5 families had the income (X) and food expenditure (Y) in $…

A random sample of 5 families had the following income (X) and food expenditure (Y) (in $ per week). |11 14 12 4 17. 12 15 Find Mean ofX Find Mean ofY Calculate the coefficient of determination Find the Karl Pearson's Correlation Coefficient

A random sample of 5 families had the following income (X) and food expenditure (Y) (in $ per week). |11 14 12 4 17. 12 15 Find Mean ofX Find Mean ofY Calculate the coefficient of determination Find the Karl Pearson's Correlation Coefficient

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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Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant negative linear correlation between advertising cost and profit . Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 17 4 15 20 6. 28 7 17 8 29 Ho: p = 0 На: р < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Less than (or equal to) a O Greater than a The p-value leads to a decision to Ассept Ho Reject Ho O Do Not Reject Ho The conclusion is O There is a significant negative linear correlation between advertising expense and profit. There is a significant positive linear correlation between advertising expense and profit. O There is a significant linear correlation between advertising expense and profit. O There is insufficient evidence to make a conclusion about the linear correlation between advertising expense and profit.
The data below was taken from the fat (g) and sodium (mg) found in different types of food found at fast food restaurants. 19 31 34 35 39 39 43 _y 920 1310 860 1180 940 1260 1500 a) Find the p-value to determine if there is a linear correlation between fat (g) and sodium (mg). Record the p-value below. Round to four decimal places. p-value = b) Is there a linear correlation between fat (g) and sodium (mg)? c) If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. d) If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. e) Using the data shown above, predict the the sodium found in fast food when the fat is 32 g. Round your final answer to two decimal places. f) If there is a linear correlation, what percentage of variation in sodium (mg) can be explained by fat (g)? If there is not a linear correlation, leave…
A group of university researchers wanted to determine the relationship that exists between the number of hours spent by a student in social media in a day (X) and their grade weighted average (Y). Twelve randomly selected students produced the following findings: Number of GWA Hours 4.0 95 8.0 85 87 89 91 85 89 86 84 96 82 85 7.0 6.5 5.5 9.0 4.0 10.0 7.5 2.0 12.0 9.0
The accompanying table shows the earnings per share (in dollars) and the dividends per share (in dollars) for 6 companies in a recent year. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. (a) Display the data in a scatter plot. Choose the correct.graph below. OA. OB. В. Oc. OD. 3- 9- Q Q 2- 6- 6- 3- 3- 04 3. Eamings per share (S) Eamings per share ($) 0. Eamings per share (S) Eamings per share (S) (b) Calculate the sample correlation coefficient r. - X Data Table (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. Earnings per share, x Dividends per share, y O 1.36 1 There is V linear correlation. 4.3 0.59 3.56 8.27 1.74 2.47 Interpret the correlation. Choose the correct answer below. 1.19 0.67 1.6 2.82 O A. Increases in companies' eamings per share cause their dividends per share…
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Right arm 102 101 94 79 79 Left arm 175 169 182 146 144 If the sample data were to result in the scatterplot shown here, what is the value of the linear correlation coefficient r?
Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 21 4 16 5 29 17 7 28 8 21 Ho: p = 0 Ha: p +0 Find the Linear Correlation Coefficient r= Find the p-value p-value = The p-value is Less than (or equal to) a OGreater than a The p-value leads to a decision to Do Not Reject Ho OReject Ho OAccept Ho
56 the value of ris highly significant. 4. Calculate the coefficient of correlation for the following data by taking actual values of X and Y. Price (in) 17 18 19 20 21 22 23 24 25 26 Supply (in Kgs) 38 37 38 33 32 33 34 29 26 23 58 25
The data obtained in a study on the number of absences in virtual class and the final grades of seven randomly selected students from a mathematics class. The data are shown below. To determine the significance of the correlation coefficient at 0.05 level of significance, what is the calculated or computed value (CV)? Final grade y Number of absences x in a virtual class 6. 82 86 15 43 9. 74 58 5 90 78 а. -1.59 b. -2.32 с. 2.32 d. 1.59
Data collected from a sample of 8 students relating study time (x in hours per week) and leisure time (y in hours per week) yielded the information shown below. What is the value of the sample correlation coefficient? Enter your answer accurate to TWO (2) decimal places. X= 59.37 Y = 4.25 SS= 1843.87 SS, = -49.75 SS, = 7.5
18. A set of n = 52 pairs of scores (X and Y values) in a research study has a Pearson correlation of r = -0.7. What percentage of the variance for the Y scores is predicted by its relationship with X?