Question

x |
y |

0 |
6 |

1 |
5 |

2 |
3 |

3 |
1 |

4 |
0 |

A) From the above table, calculate the predicted value of y for x0=5.

B) Calculate the standard error of the forecast error.

C) Calculate a 95% confidence interval of y given x0=5

Answer #1

Given are five observations for two variables, x and
y.
x i
1
2
3
4
5
y i
4
7
6
12
14
Round your answers to two decimal places.
a. Using the following equation:
Estimate the standard deviation of ŷ* when x =
4.
b. Using the following expression:
Develop a 95% confidence interval for the expected value of
y when x = 4.
to
c. Using the following equation:
Estimate the standard deviation of an individual value...

Given are five observations for two variables, x and y. x i 1 2
3 4 5 y i 3 8 6 12 13 Round your answers to two decimal places. a.
Using the following equation: Estimate the standard deviation of ŷ*
when x = 3. b. Using the following expression: Develop a 95%
confidence interval for the expected value of y when x = 3. to c.
Using the following equation: Estimate the standard deviation of an
individual value...

C
D
3
2
6
7
8
5
9
4
1
0
3
4
Using the predict function in R, find each of the following
predicted values of D, for the given value of C regardless of
whether or not it is appropriate to do so. In real life you should
not calculate for predictions when it is not appropriate, but this
is just for practice.
Find when C = 6
Find when C = 4
Find when C =...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
7
6
11
14
The estimated regression equation is = 1.2 + 2.4
x.
Compute the mean square error using the following equation (to
3 decimals).
Compute the standard error of the estimate using the following
equation (to 3 decimals).
Compute the estimated standard deviation b
1 using the following equation (to 3 decimals).
Use the t test to test the following hypotheses...

The following sample observations were randomly selected.
x:
5
3
6
3
4
4
6
8
y:
13
15
7
12
13
11
9
5
Determine the 0.95 confidence interval for the mean predicted
when x = 7. (Round your answers to 4 decimal
places.)
Determine the 0.95 prediction interval for an individual
predicted when x = 7. (Round your answers to 4
decimal places.)

4. Given x: -3 / 0 / 3 P(X =x): .5 / .2 / .3 Find the variance
given that the expected value is - .6
A. 4.1 B. 2.85 C. 8.142 D. 2.02 E. 6.84
5. A probability distribution has a mean of 10 and standard
deviation of 1.5. Use Chevbychev’s Inequality to estimate the
probability that an outcome will be between 7 and 13.
A. 4 B. 2 C. 5 D. 4

Given are five observations for two variables, x and y. xi 1 2 3
4 5 yi 4 7 6 12 15 The estimated regression equation is ? = 0.7 +
2.7x. Compute the mean square error using the following equation
(to 3 decimals). Compute the standard error of the estimate using
the following equation (to 3 decimals). Compute the estimated
standard deviation b1 using the following equation (to 3 decimals).
Use the t test to test the following hypotheses...

DRIVERS (X ) CARS (Y )
5 4
5 3
2 2
2 2
3 2
1 1
2 2
(a) Construct a scatterplot to verify a lack of pronounced
curvilinearity. (already did this part)
(b) Determine the least squares equation for these data.
(Remember, you will first have to calculate r, SSy and SSx)
(c) Determine the standard error of estimate, sy|x, given that n
= 7.
(d) Predict the number of cars for each of two new families...

solve by separation variable
3, xydx-(1+x^2) dy=0
4, xy'+y=y^2
5,yy'=xe^2+y^2
6, xsiny.y'=cosy
7, y'=x^2 y/1+x^3 xsiny.y'+cosy

Consider the following set of ordered pairs.
x 6 0 3 4 4 1
y 4 1 4 5 6 7
a.) state the hypotheses
b.) what is the test statistic?
c.) what is the p value?
d.) state the conclusion

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