A new fad diet called Trim-to-the-MAX is running some tests that they can use in advertisements.They sample 25 of their users and record the number of days each has been on the diet along with how much weight they have lost in pounds.The data are below.

Days on Diet Weight Lost

7 5

12 7

16 12

19 15

25 20

34 25

39 24

43 29

44 33

49 35

Regression Statistics

Multiple R- 0.9851

R Square- 0.9705

Adjusted R Square- 0.9668

Standard Error- 1.9173

Observations- 10

ANOVA

df SS MS F Significance F

Regression 1 967.0912 967.0912 263.0757 2.09917E-07

Residual 8 29.4088 3.6761

Total 9 996.5

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%

Intercept 0.4912 1.3746 0.3574 0.7301 -2.6785 3.6610

Days on Diet 0.6947 0.0428 16.2196 0.0000 0.5960 0.7935

A strong linear correlation was found between the two variables. Find the standard error of estimate. Round answer to 4 decimal places.