The exercise involving data in this and subsequent sections were designed to be solved using Excel. Consider the following estimated regression equation, based on 10 observations. y^ = 29.1270 + .5906x1 + .4980x2 The values of SST and SSR are 6724.125 and 6216.375, respectively. Find SSE (to 2 decimals). Compute R2 (to 3 decimals). Compute Ra2 (to 3 decimals). How good is the fit provided by the estimated regression equation?

SSE = 507.75

R² = 0.924

Ra² = 0.812

Step-by-step explanation:

The estimated regression equation is given by

y = 29.1270 + 0.5906x₁ + 0.4980x₂

Find SSE

The total sum of squares is given by

SST = SSR + SSE

Where SSR is the sum of squares due to regression and SSE is sum of squares due to error

SSE = SST - SSR

SSE = 6724.125 -  6216.375

SSE = 507.75

Compute R²

The Coefficient of determination is given by

R² = SSR/SST

R² = 6216.375/6724.125

R² = 0.924

Compute Ra²

The adjusted coefficient of determination is given by

Ra² = 1 - ((1 - R²)(N - 1)/(N - P - 1))

Where N is the total number of samples and P is the number of predictors

Ra² = 1 - ((1 - 0.924²)(10 - 1)/(10 - 2 - 1))

Ra² = 0.812

How good is the fit provided by the estimated regression equation?

The coefficient of determination can provide a good insight about the fitness of estimated regression equation.

A higher value of R² indicates a good fit on the other hand a lower value of Ra² also indicates a good fit. Since we have got a high value of R² and low value of Ra², we can conclude that that it is a good fit.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: