X Y 3 3 6 9 5 8 4 3 7 10 5 9   Compute the Pearson correlation to measure the degree of relationship between the two test scores.

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…

Using technology, what is the correlation coefficient? The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table. O -0.997 O -0.503 Weight (x) 8. 12 18 24 30 32 35 37 40 O 0.503 Height (y) 22 23 26 30 32 33 5 36 38 O 0.997

A study of bone density on 55 random women at a hospital produced the following results. Age 37 41 49 53 61 Bone Density 360 350 330 325 315   Calculate the correlation coefficient, r. Round your answer to three decimal places.

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

Based on the data shown below, calculate the correlation coefficient (to three decimal places) y 1 11.56 10.62 2 3 11.68 4 13.64 5 14.3 14.26 7 15.12 8 14.78 9 18.04

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places) x y 3 7.48 4 6.84 5 4.8 6 8.26 7 7.92 8 7.38 9 6.74 10 6.7

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