he ages and percent of body fat of randomly selected adults are recorded below.Age (in years)23 27 39 41 45 49 53 54 58 61 Body fat (in percent)9.5 17.8 31.4  25.9 27.4 25.2 42.0 29.1 33.0 34.5 a) Find the correlation coefficient r between the ages and the percent of body fat of adults. b) Find critical values for r. c) Determine if there is significant linear correlation in the population using a 0.05 significance level.d) Clearly state the conclusion

(e)

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…