correlation between XX and YY? x y 5 14.9 6 25.12 7 23.04 8 24.16 9 22.58 10 25.5 11 30.02 Yes, significant correlation No
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Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. At the 0.05 significance level, does the data below show significant (linear)
x | y |
---|---|
5 | 14.9 |
6 | 25.12 |
7 | 23.04 |
8 | 24.16 |
9 | 22.58 |
10 | 25.5 |
11 | 30.02 |
- Yes, significant correlation
- No
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- A pediatrician wants to determine the relation that may exist between a child's height and head circumference She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the 27.5 data shown in the table. Complete parts (a) through (e) below. Click here to see the Table of Critical Values for Correlation Coefficient. Height (in.) Head Circumference (in.) O 17.4 25.75 26.75 25 17.1 17.1 16.9 27.5 17.5 26.75 17.2 17.1 25.75 26.75 17.3 (a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. Choose the corect answer below O The explanatory variable is head circumference and the response vanable is height O The explanatory variable is height and the response variable is head circumference (b) Draw a scatter diagram. Choose the correct graph below. O D. OA. B. Click to select your answer(s). VI 9:31 acer -> esc & backspace @ 2$ % 7 8 1 r…Note that this uses minitab. Make a scatterplot that will enable you to predict BBAC from number of beers consumed. What is the correlation coefficient?You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 64 32 55 30 72 36 34 30 31 18 16 29 21 22 32 18 46 24 46 31 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Do Not Reject Ho Reject Ho Accept Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is a significant negative linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths. There is…
- The ages of the runners in a race and their finishing positions are given in the following table. Assuming x is the finish position and y is the person's age, is there a significant correlation between age and finishing position? Answer Choices Not significant Not one of these Significant at both 5% and 1% Significant at 5% but not 1% Significant at 1%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.Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. At the 0.05 significance level, does the data below show significant (linear) correlation between X and Y? x y 4 29.04 5 26.4 6 29.06 7 44.22 8 35.98 9 49.64 10 46.3 11 46.46 12 50.42 13 61.78 Yes, significant correlation No
- 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…ps-5
- 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 0.05 and round all values to 4 decimal places. Advertising Cost Profit 3 19 4 16 24 6 29 7 25 27 10 30 Ho: p = 0 На: р * 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a The p-value leads to a decision to O Do Not Reject Ho O Accept Ho O Reject Ho The conclusion is O There is a significant negative linear correlation between advertising expense and profit. O There is a significant linear correlation between advertising expense and profit. O There is a significant positive linear correlation between advertising expense and profit. O There is insufficient evidence to make a conclusion about the linear correlation between advertising expense and…The data below are the final scores of 10 randomly selected statistics students and the number of hours they studied for the final. What is the best-predicted value for y given x = 6? Assume that the variables x and y have a significant correlation. hours x: 3,5,2,8,2,4,4,5,6,3 scores y: 65,80,60,88,66,78,85,90,90,71 A.84 B.86 C.85 D.87Listed 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