Test the claim Ho: Ps = 0 versus Ha: Ps #0 that there is a significant correlation between purchased seed expenses and fertilizer and lime expenses in the farming business. The critical value is 0.738 Seed Expenses Rank Fertilizer/lime Rank d. d? Expenses 490 480 1530 2060 490 480 266 402 741 642 380 470 879 858 360 560
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- Test the null hypothesis that the slope coefficient for ‘GROWTH’ is less than or equal to 0.07 against the alternative that it is greater than 0.07 (i.e. <=0.07 OR >0.07). The critical t value is 1.645 for a one-tailed test at the 5% significance level.X” denote the number of children ever born to a woman, and let “Y” denote years ofeducation for the woman. A simple model relating fertility to years of education is X = β0 + β1Y + u where u is the unobserved error. (i) What kind of factors are contained in u? Are these likely to be correlated with level of education?Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county. Cases_of_Lyme_Disease Drowning_Deaths Month3 0 J2 1 F2 2 M4 1 A5 3 M15 9 J22 17 J13 5 A6 3…
- Researchers studied the effect of a houseplant fertilizer on carrot sprout growth. They randomly selected some carrot seeds to serve as controls, while others were planted in aluminum planters to which fertilizer sticks were added. Other conditions were held constant between the two groups. The following table shows data on the heights of plants (in cm) 2 weeks after germination. Use a t test to investigate whether the fertilizer has an effect on average carrot sprout growth. Use a = 0.05.Second-Hand Smoke: Data Set 12 “Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke. Construct the confidence interval appropriate for the hypothesis test in part a. What do you conclude about the effects of second-hand smoke?A student used multiple regression analysis to study how family spending (y) is influenced by income(x1), family size (x2), and additionsto savings(x3). The variables y, x1, and x3 are measured in thousandsof dollars. The following results were obtained. anova df ss regression 3 45.9634 residual 11 2.6218 total coefficient standard error intercept 0.0136 x1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 a. Write out the estimated regression equation for the relationship between the variables. b. Compute coefficient of determination. What can you say about the strength of thisrelationship? c. Carry out a test to determine whether y is significantly related to the independent variables.Use a 5% level of significance. d. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
- A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additionsto savings(x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained. ANOVA df SS Regression 3 45.9634 Residual 11 2.6218 Total Coefficients Standard Error Intercept 0.0136 x1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 a. Write out the estimated regression equation for the relationship between the variables. b. Compute coefficient of determination. What can you say about the strength of this relationship? c. Carry out a test to determine whether y is significantly related to the independent variables. Use…The first step of the Durbin-Watson test for the presence of autocorrelation is to estimate the model and determine Select one: a. the residuals lagged one period. b. the current period residuals and the residuals lagged one period. c. the current period residuals. d. the current period residuals, the residuals lagged one period, and the residuals lagged two periods.A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings(x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained. ANOVA df SS Regression 3 45.9634 Residual 11 2.6218 Coefficients Standard Error Intercept 0.0136 x 1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 Required: c. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance. d. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
- A study of Spring Peeper breeding yielded the results in the table below. Spring Peepers were bred in different temperature controlled environments. The concentration of dissolved oxygen was measured in each environment. Temperature of water (⁰C) Dissolved oxygen in freshwater (mg/L) Number of eggs hatched into tadpoles 8 10.0 80 8 12.0 100 8 13.5 120 8 16.0 150 15 8.0 600 15 9.5 1090 15 12.0 1700 15 14.0 2190 22 6.5 870 22 8.5 1450 22 10.5 1970 22 12.0 2450 29 5.5 110 29 7.0 210 29 9.0 400 29 11.0 500 Graph the data in the table linked in the description above. (Hint: You must identify the dependent variable and two independent variables.) You may complete your graph electronically or by hand (then take a photo of your graph). Upload your photo or electronic file. (COMPLETE IN ONE GRAPH).A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained. ANOVA df SS Regression 3 45.9634 Residual 11 2.6218 Total Coefficients Standard Error Intercept 0.0136 x1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 Write out the estimated regression equation for the relationship between the variables. Compute coefficient of determination. Can you interpret the strength of the relationship? Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained. ANOVA df SS Regression 3 45.9634 Residual 11 2.6218 Total Coefficients Standard Error intercept 0.0136 x1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 Write out the estimated regression equation for the relationship between the variables. Compute coefficient of determination. What can you say about the strength of this relationship? Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.