The least squares estimate of the slope is Round to 1 decimal place. The least squares estimate of the intercept is . Round to decimal place. If the Hammett constant x is set to 0.17, what is the predicted maximum absorption? Round to 1 decimal place.

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Chemists examined the relationship between the maximum absorption rate y (in
nanomoles) and the Hammell subsliuent constant x for metachyoophane
compounds. The data are given below.
Hammett
Maximum
Observation
Constant
Ahsorption
0.01
200
12
0.75
346
13
0.06
303
14
-0.26
314
15
0.17
301
0.42
332
-0.18
303
0.52
343
19
1.02
368
10
0.38
326
0.63
339
Summary quantities are Ey = 3574, E = 1188426, Ex, = 3.52, E x} = 2.7238,
and x, V- 1226.27. Assume that the two variables are related according to the
simple linear regression model.
1. The least squares estimate of the slope is
.Round to 1
decimal place.
2. The least squares estimate of the intercept is
. Round to 1
decimal place.
3. If the Hammett constant x is set to 0.17, what is the predicted maximum
absorption?
Round to 1 decimal place.
4. The observed value of maximum absorption at x = 0.17 is y = 301. What is the
value of the coresponding residual?
Round to 1 decimal
place.
5. The totell sum of squares of y is
and the error sum of squares
is
- Round to 2 decimal places.
6. Calculate an unbiased estimate of the error variance.
Round
lo 2 decimal places.
7. Calculate the coefficient of determination for the model.
Round to 2 decimal places.
Transcribed Image Text:Chemists examined the relationship between the maximum absorption rate y (in nanomoles) and the Hammell subsliuent constant x for metachyoophane compounds. The data are given below. Hammett Maximum Observation Constant Ahsorption 0.01 200 12 0.75 346 13 0.06 303 14 -0.26 314 15 0.17 301 0.42 332 -0.18 303 0.52 343 19 1.02 368 10 0.38 326 0.63 339 Summary quantities are Ey = 3574, E = 1188426, Ex, = 3.52, E x} = 2.7238, and x, V- 1226.27. Assume that the two variables are related according to the simple linear regression model. 1. The least squares estimate of the slope is .Round to 1 decimal place. 2. The least squares estimate of the intercept is . Round to 1 decimal place. 3. If the Hammett constant x is set to 0.17, what is the predicted maximum absorption? Round to 1 decimal place. 4. The observed value of maximum absorption at x = 0.17 is y = 301. What is the value of the coresponding residual? Round to 1 decimal place. 5. The totell sum of squares of y is and the error sum of squares is - Round to 2 decimal places. 6. Calculate an unbiased estimate of the error variance. Round lo 2 decimal places. 7. Calculate the coefficient of determination for the model. Round to 2 decimal places.
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