The data given below are the amount ofexport (x in 00 million taka) of fish andamount of export (y in 00 million of taka )in different years.Xу71017 221. Calculate13 12 1416 1524 25 28 37 40correlation coefficient of xand y and comment.2. Test the significance of correlation at5% level of significance and comment

Correlation is a measure used in statistical analysis. It explains the association between the…

Answered: The data given below are the amount of…

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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(e)
A magazine tested LCD televisions. The table below shows the overall quality score and cost in hundreds of dollars. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of x = 0.05. Based on these results, can you expect to get higher quality by purchasing a more expensive LCD television? Quality 76 74 71 70 69 68 65 62 62 60 59 Cost 27 24 12 11 21 27 30 38 24 21 11 Click the icon to view the critical values of Spearman's rank correlation coefficient. Determine the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: rs = 0 OB. Ho: rs #0 H₁: rs =0 H₁: rs #0 O C. Ho: Ps #0 H₁: Ps=0 Determine the correlation coefficient. 's (Round to three decimal places as needed.) Determine the critical value(s) of the correlation coefficient. D. Ho: Ps=0 H₁: Ps #0 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct answer below. O A. Fail to reject the…
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.
Determine if there is a significant correlation between the sets of data at a 10% significance level. X 63 32 28 23 39 37 43 21 y 89 64 61 57 70 68 73 56 Negative Critical Value, tcrit [three decimal accuracy] Positive Critical Value, tcrit [three decimal accuracy] Test Statistic, ttest %3D [three decimal accuracy] Test Conclusion: Reject Ho. There is enough evidence to suggest a significant (positive or negative) linear correlation between the data sets. Fail to Reject Ho. There is not enough evidence to suggest a significant (positive or negative) linear correlation between the data sets.
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
You have been asked to find if there is a correlation between the amount of calories per serving in a bowl of cereal versus the amount of sugar (in grams) in the cereal. The following data has been given Which variable is the predictor and which variable is the response Sugar Calories 18 200 23 210 12 170 12 190 37 220 19 175 23 201 22 210 32 210 11 190 11 197 29 205
Calculate the coefficient of correlation between price and the supply of a commodity for the data given below. 11 12 13 14 15 16 17 18 19 20 21 22 Price Supply (kgs) 25 24 24 24 21 18 15 20 21 30 29 29
The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. 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. Data table Critical values for the pearson correlation coefficient (a) Display the data O A. Age, x Vocabulary size, y Critical Values for the 1 6 3000- 2400- 1800- 1200- Pearson Correlation Coefficient 210 3 590 4 1300 The correlation is significant when the absolute value of is greater than the value in the table. 600- 2200 6 4 6 0 2 Age (year 2600 a = 0.05 0.950 a = 0.01 0.990 4 6 8 years) 3 680 4 2100 0.878 0.959 (b) Calculate the sa 280 6 0.811 0.917 7 0.754 0.875 4 1100 0.834 0.798 8 0.707 (Round to three de 6. 2300 0.666 10 0.632 0.765 (c) Describe the ty 11 0.602 0.735 12 0.576 0.708 There is 13 0.553 0.684 Done 0.661 0.532 0.514 0.497 Print 14 15 0.641 Interpret the correla 16 0.623 17 0.482 0.606 O A. As age…
A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the amount of time…
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
grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 12 26 5 28 11 24 20 21 16 Money 37 84 34 84 53 92 72 92 75 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: P == 0 H1:H1: P ≠≠ 0 The p-value is: (Round to four decimal places) r2 = (Round to two decimal places)

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