Determine if there is a significant correlation between the sets of data at a 10% significance level. x| 56 34 47 57 50 58 49 59 56 y 63 23 64 27 58 38 33 58 25 Negative Critical Value, tcrit-

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.

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