consider the accompanying data on X=research and development expenditure (thousand od dollar) and Y =growth rate % per year for eight different industries.

X 2027 5033 902 3571 1157 327 378 191

Y 1.90 3.96 2.44 0.88 0.37 -0.90 0.49 1.01

a. calculate the test statistic and p value for this test. round test statistic to one decimal place and your P value to three decimal places.

b. use a 90% confidence interval to estimate the average change in growth rate in % per year associated with a $1000 increase in expenditure. round answers to six decimal places.