Question: A multiple linear regression model based on a sample of 15 homes is developed to predict appraised property value based on land area of the
A multiple linear regression model based on a sample of 15 homes is developed to predict appraised property value based on land area of the property and age, in years The SSR is 57,144 and the SSE is 146,440. Complete parts (a) through (d) below. a. Determine whether there is a significant relationship between appraised value and the two independent variables (land area and age) at the 0.05 level of significance. What are the correct hypotheses to test? Ho: (1 ) H,: (2) Calculate the test statistic. FSTAT (Round to two decimal places as needed.) Determine the p-value. The p-value is (Round to four decimal places as needed.) State the conclusion. Since the p-value is (3) than the level of significance, (4) the null hypothesis. There is (5) evidence to conclude there is a linear relationship. b. Interpret the meaning of the p-value. A. The p-value is the probability of getting an overall test statistic equal to or greater than the sample result, assuming there is no linear relationship between the dependent variable and the independent variables. B. The p-value is the probability that there is a linear relationship between the two independent variables O C. The p-value is the probability of getting an overall test statistic equal to or less than the sample result, assuming there is no linear relationship between the dependent variable and the independent D. YHeap Calue is the probability that there is a linear relationship between the dependent variable and at least one of the independent variables. c. Compute the coefficient of multiple determination, r, and interpret its meaning. 2 = (Round to four decimal places as needed.) Interpret the meaning of r The coefficient of multiple determination indicates that % of the variation in (6) can be explained by the variation in (7 ) (Round to two decimal places as needed.) d. Compute the adjusted r Fadi = (Round to four decimal places as needed.) (1) O At least one # 0, j= 0,1 0 1 = 2=0 (2) O At least one # 0, j= 0, 1 0 1= 2=0 (3) less 1= 2= 3=0 At least one # 0, j = 1,2,3 At least one # 0, j= 1, 2 O 3= 0 greater 0 0= 1= 2=0 0 0 = 1 = 2=0 At least one # 0, j = 1,2 At least one # 0, j= 1, 2, 3 (4) O reject (5) O sufficient (6) land area (7) O age. O do not reject insufficient land area and age land area appraised value O appraised value. age land area and age. ID: 14.2.17