HW12.4-12.6 Score: 0724 0 Question 18 To examine the linear correlation between adult age and weight, data was collected from 8 adults. See the table below. O.-"24 answered Does this result suggest that the correlation is statistically significant? Use or = 0.05. Important Note: Round your value for T to three decimals before computing the STS. DO NOT use the built- in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the rounded STS. 1. Select the correct statement: '3' Even if the correlation is found to be statistically significant, that does not necessarily mean that changes in 3 cause changes in y '33.} If the correlation is found to be statistically significant, that means that changes in ac cause changes iny Age Weight (Years) (pounds) 26 173 27 193 32 181 34 187 35 165 54 223 57 132 58 189 Progres The hypotheses are: O Ho:r 0 O Ho:r = 0; Ha:r # 0 O Ho:p 0 O Ho:r 2 0; Hair o: C' Reject Ho since P oz '33:? Reject Ho since P :> Or '13:? Do not reject Ho since P 31 o: The conclusion is: '33:? There is sufficient evidence to conclude that there is a statistically significant Linear correlation '3' There is sufficient evidence to conclude that there is not a statistically significant linear correlation '3' There is insufficient evidence to conclude that there is a statistically significant linear correlation '3' There is insufficient evidence to conclude that there is not a statistically significant linear correlation . Question 19 v For the data in the table, find the regression equation and then use it to answer the questions below. Here, :12 gives the number of years of experience for nurses. and yis their annual salary [in $10005}. Round the slope and y-intercept to two decimals, then do not round your answer. Years of Salary Experience ($1000's) 1 40 2 41 3 42 12 47 14 49 15 52 17 55 21 56 24 57 25 60 a. What is the predicted salary (in $1000's] for a nurse with 33 years of work experience? b. Is your answer to part [a] an extrapolation? '3 Yes: the value of :r. is outside the range of data, so the prediction may not be meaningful '33:? No: the value of a: is within the range of the data, so the prediction is meaningful