Question

While conducting a one-way ANOVA comparing 6 treatments with 10 observations per treatment,  the computed value for SS(Treatment)= 1, and SS(Error)=24. Calculate the value of F.

Round off the answer to 2 decimal digits

A study was conducted to determine the association between the maximum distance at which a highway sign can be read ( in feet) and the age of the driver ( in years). Fourty drivers of various ages were studied. The summary statistics for distance and age are shown below in table :

	Mean	Std Deviation
Distance (y)	177.3	6.6
Age(x)	30.04	3.9

Given that the correlation coefficient between distance and age in this sample is r(x,y) = 0.5, calculate the slope of the least-squares regression.

Round off the answer to 2 decimal digits.

The observed frequencies of sales of different colours of cars are shown in the following table:

Category colour	Black	Red	Green	White	Blue
Observed Frequencies	20	30	25	25	47

  

Calculate the chi-square test statistic to test the claim of equal probabilities.

The degree of freedom of goodness of fit-test with 10 categories is equal to……..

Listed below the regression equation of the heights (in inches) and weights (in lb) of 6 randomly selected males(Here y is the weight and x is the height of male)

             

Find the predicted weight of a male who is 70.0 inch tall?

A fitted linear regression model is    . The residual at the point (0, 5) is

In contingency tables. When conduction a hypothesis test of independence between variables with two rows and two columns (2x2), if the value of chi square test statistic=58.393, p-value =0.000 and the level of significance =0.01 then reject the null hypotheses of independence between rows and columns.

True

False

1. In goodness of fit test, for each category, the expected frequeny must be less than 5.

True

False

1. When conducting a hypothesis test with chi-square analysis, the critical region in a chi-square distribution is always in the left tail.

True

False

Analysis of variance (ANOVA) is a method for testing the hypothesis that three or more population means are equal

True

False

1. In a one way ANOVA, the value of test statistic F=0.104 and the variance within samples equal 1.23 then the variance between samples is 0.229.

True

False

To test the claim that there is a linear correlation between the two variables x and y with n=5 and r =0.5 then the test statistic t value equals:

		1
		0.75
		0.25
		2

The sample data of energy consumptions by households in the Northeast, Midwest and South are given below. Find the variance between the samples? n=5 for each.

	Northeast	Midwest	South
Mean( )	48.2	35.4	69.8
Variance(S2)	153.2	128.8	183.2

		9.97
		51.16
		1511.46
		302.28

The value of the linear correlation coefficient between x and y is 0.4. What is the value of coefficient of determination?

		0.2
		0.6
		-0.4
		0.16

Answer 1

due to HomeworkLib policy i am answering starting some question , please repost remaining questions

# slope (b) = r (sy/sx)

=0.5(6.6/3.9)

0.846

NEXT QUESTION,  

# here expected frequency of selection one colour= 1/5 = 20%=0.20

The following table is obtained: Categories Observed Expected (fo-fe)?/fe Black 147*0.20=29.4 Red 147*0.20=29.4 (20-29.4)/29.4 = 3.005 (30-29.4)/29.4 = 0.012 (25-29.4)2/29.4 = 0.659 (25-29.4)/29.4 = 0.659 Green 147*0.20=29.4 White 147*0.20=29.4 Blue 147*0.20=29.4 (47-29.4)2/29.4 = 10.530 Sum = 147 14.871 (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: Ho :pi = 0.20, P2 = 0.20, p3 = 0.20, P4 = 0.20, p5 = 0.20 H: Some of the population proportions differ from the values stated in the null hypothesis This corresponds to a Chi-Square test for Goodness of Fit (2) Rejection Region Based on the information provided, the significance level is a = 0.01, the number of degrees of freedom is df = 5-1= 4, so then the rejection region for this test is R= {x? : x? > 13.277). (3) Test Statistics The Chi-Squared statistic is computed as follows: pes (Oi-B) = 3.005 +0.012 +0.659 +0.659 + 10.536 = 14.871 i=1 (4) Decision about the null hypothesis Since it is observed that x = 14.871 > x2 = 13.277, it is then concluded that the null hypothesis is rejected. (5) Conclusion It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that some of the population proportions differ from those stated in the null hypothesis, at the a = 0.01 significance level.

# df=n-1 = 9

# LAST QUESTION

coefficient of determination= r^{​​​​​​2}​​​= 0.16

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