The results from a regression analysis of data collected on SAT score and current GPA for a random sample of 100 students at a large university are summarized in the partial computer output below. Term Coef SE Coef Constant SAT r=0.431 1.406 0.143 0.001340 0.000114 R² = 0.1862 Assume all conditions for inference were met. Based on the output shown, is there a statistically significant linear relationship between SAT score and current GPA for all students at this university? (A) No, because the estimated slope is very close to 0. (B) No, because the correlation is not close to -1 or 1. (C) No, because R² is quite small. (D) Yes, because the ratio of 1.406 to 0.143 is very large. (E) Yes, because the ratio of 0.001340 to 0.000114 is very large.

A researcher developed a regression model to predict the cost of a meal based on the summated rating​ (sum of ratings for​ food, de​cor,and​ service) and the cost per meal for 12 restaurants. The results of the study show that b1=1.4379 and Sb1=0.1397.   a. At the 0.05 level of​ significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a​ meal? b. Construct a​ 95% confidence interval estimate of the population​ slope, β1. a. Determine the hypotheses for the test. Choose the correct answer below.     A. H0​: β1=0 H1​: β1≠0   B. H0​: β0≤0 H1​: β0>0   C. H0​: β1≤0 H1​: β1>0   D. H0​: β0≥0 H1​: β0<0   E. H0​: β1≥0 H1​: β1<0   F. H0​: β0=0 H1​: β0≠0 Compute the test statistic.   The test statistic is ?   ​(Round to two decimal places as​ needed.) Determine the critical​ value(s).   The critical​ value(s) is(are) ? ​ (Use a comma to separate answers as needed.…

A multiple regression analysis between yearly income(y in $1,000s), college grade point average(X1) , age of the individuals (X2), and the gender of the individual (X3); zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.                              Coefficient          Standard Error Constant           4.0928                 1.4400 X1                      10.0230                1.6512 X2                        0.1020                0.1225 X3                       -4.4811                1.4400     Analysis of Variance   Source of              Degrees of          Sum of           Mean Variance               Freedom             Squares          Square              F Regression                                         360.59 Error                                                      23.91   Write the regression equation for the above. Interpret the meaning of the coefficient of X3. Compute the coefficient…

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses:  A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z   B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z      C)   H0: At least two of the population means are equal.Ha: At least two of the population means are different.   D) H0: ?x = ?y = ?zHa: Not all the population means are equal.   E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z   #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =   #3) State your conclusion. A) Reject H0. There is…

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses:  A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z   B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z       C) H0: At least two of the population means are equal.Ha: At least two of the population means are different.   D) H0: ?x = ?y = ?zHa: Not all the population means are equal.   E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z   #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =   #3) State your conclusion. A) Reject H0. There is…

Determine the kurtosis if the data given is a sample.

The test statistic of z = -3.32 is obtained when testing the claim that p < 0.19. Using the significance level a= 0.10 find the critical value’s

An urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:

Let X1, ..., Xn be a sample from an exponential population with parameter λ.(a) Find the maximum likelihood estimator for λ. (b) Is the estimator unbiased?(c) Is the estimator consistent?

A suburban hotel derives its revenue from its hotel and restaurant operations. Theowners are interested in the relationship between the number of rooms occupied on anightly basis and the revenue per day in the restaurant. Below is a sample of 25 days(Monday through Thursday) from last year showing the restaurant income and numberof rooms occupied.