The following values of a response Y were obtained for three settings of a categorical predictor...

The following values of a response Y were obtained for three settings of a categorical predictor A.

A = 1 0.090 0.800 33.070 −1.890

A = 2 5.120 1.580 1.760 1.740

A = 3 5.080 −3.510 4.420 1.190

Suppose we assume the normal regression model for these data with one categorical predictor.

a) If you have been able to fix any problems encountered with the model, carry out a one-way ANOVA to test for any differences among the conditional means of Y given A.

b) If warranted, construct 0.95-confidence intervals for the differences between the means and summarize your findings

Expert Solution

orchestra answered 1 year ago

Question 3 Suppose that the estimated simple linear regression of a response Y on a predictor...

Question 3 Suppose that the estimated simple linear regression of a response Y on a predictor X based on n = 6 observations produces the following residuals: resid <- c(-0.09, 0.18, -0.27, 0.16, -0.06, 0.09) Note: For this question, all of the computations should be performed “by-hand”. (a) (1 point) What is the estimate of σ 2? (b) (2 points) Further, you know that the estimated regression parameters are βˆ 0 = −0.54 and βˆ 1 = 0.08. Additionally, the...

The following sample of 9 values were obtained in a study of the relationship between the...

The following sample of 9 values were obtained in a study of the relationship between the weight and chest size of infants at birth: Weight (kg) 2.75 2.15 4.41 5.52 3.21 4.32 2.31 4.30 3.71 Chest size (cm) 29.5 26.3 32.2 36.5 27.2 27.7 28.3 30.3 28.7 Obtain a scatter plot of the data and comment on the correlation between the two variables. Compute the correlation coefficient (r) and test whether it differs from 0 (use level of significance of...

In a recent survey, the following data were obtained in response to the question “When making...

In a recent survey, the following data were obtained in response to the question “When making a purchase, do you prefer to pay with cash or a credit card?” The responses are listed in the table. Gender Cash Credit Card Total Males 21 39 60 Females 15 25 40 Total 36 64 100 What is the probability that a randomly selected person is a female and prefers to pay with cash?

(7) The following values were obtained for the nitrate concentration (mg/L) in a sample of river...

(7) The following values were obtained for the nitrate concentration (mg/L) in a sample of river water: 0.403, 0.410, 0.401, and 0.380. The last measurement is suspect. Based on this data set only, should it be rejected? Justify your answer. (8) Three further measurements were added to those given in question (7) so that the complete results became: 0.403, 0.410, 0.401, 0.380, 0.400, 0.413, and 0.411. Should “0.380” still be retained/rejected? Justify your answer. (9) Based on questions (7) and...

The following data were obtained for the concentration vs. time for a certain chemical reaction. Values...

The following data were obtained for the concentration vs. time for a certain chemical reaction. Values were measured at 1.0 s intervals, beginning at 0.00 and ending at 20.0 s. Concentrations in mM are: 10.00, 6.91, 4.98, 4.32, 3.55, 3.21, 2.61 2.50, 2.22, 1.91, 1.80, 1.65, 1.52, 1.36 1.42, 1.23, 1.20, 1.13, 1.09, 1.00, 0.92 a) Plot concentration, c, vs. time, t, ln c vs. t, and 1/c vs. t. b) Decide whether the data best fit zero-order, first-order or...

1189) The following values of y (cm) were measured for some unknown function. y = 5...

1189) The following values of y (cm) were measured for some unknown function. y = 5 3 3 5 9 15 23 every 1 cm. Find the area bounded by the function and the x axis (cm^2) using four methods: Use forward, backward, trapezoidal, and Simpson integration. ans:4

1189) The following values of y (cm) were measured for some unknown function. y = 7...

1189) The following values of y (cm) were measured for some unknown function. y = 7 0 -3 -2 3 12 25 every 1 cm. Find the area bounded by the function and the x axis (cm^2) using four methods: Use forward, backward, trapezoidal, and Simpson integration. ans:4

The following data were obtained in a study of the relationship between diastolic blood pressure (Y)...

The following data were obtained in a study of the relationship between diastolic blood pressure (Y) and age (X) for boys 5 to 13 years old. X 5 8 11 7 13 12 12 6 Y 63 67 74 64 75 69 90 60 Fit a simple linear regression model to the data and plot the residuals against the ﬁtted values. Omit case 7 and reﬁt the model. Plot the residuals versus the ﬁtted values and compare to what you...

From a surface measurement made by surface profilometer, the following point values were obtained. (The scale...

From a surface measurement made by surface profilometer, the following point values were obtained. (The scale factor is 0.6 micrometer). There are 10 points. 516,534,518,533,518,530,520,526,521 and 526. Try to find Ra,Rq,Rt values and Ratio Ra/Rq.

In one measurement the following values were obtained : mass of the substance: M=1.3kg, Power used...

In one measurement the following values were obtained : mass of the substance: M=1.3kg, Power used : P=8.1W Slope of the Temp vs Time: S=0.027 oC/sec. Knowing that the error on each measured value was 5% the error on specific heat capacity is (in J/(kg oC) (values may be non-physical )

Question