Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. n = 10 n=10 Σ x₁ = 334 & Σ y₁=615 & Sxx=2814.4 & Syy=14454.5 & Sxy=6243 & SSE =606.06 i=1 i=1 a) Determine the regression equation. ₁ = & Bo= b) Determine the estimated sales if 40 contacts are made. c) Can we conclude that number of contacts affect the sales positively? Use the .05 significance level. and the critical value Since the test statistic we (reject Ho or don't reject Ho) [

Suppose we want to test whether or not the average SAT score at the University of Seychelles is significantly larger than the average SAT score at Vermont. Taking a random sample, we manage to get the following seven scores from Vermont students: Vermont: 1340 1500 1430 1440 1380 1470 1290 and the following nine scores from Seychelles students: Seychelles: 1540 1480 1390 1450 1440 1350 1520 1400 1600 Assuming that the standard deviation in SAT scores for students at Seychelles and Vermont is the same and equal to 77 points, test at the α=:05 significance level whether or not the average SAT score atthe University of Seychelles is larger than the average SAT score at Vermont.

b.

Suppose that 50 measurements were taken and the mean was calculated to be 4.55. Assume next that one of the data items was 19.4This was assumed to be an outlier as was discarded. What would be the mean of the remaining 49 numbers? I

The city of Hampton is surveying households to see if the number of cats per household has changed over the past decade. The last known average of cats per household was 1.08. What statistical procedure should you use to analyze these data? O one sample z test Oone sample t test O correlated groups t test O independent groups t test

2) Now read the following data into R. Use R for all statistical procedures. Use R studio for the test.Sample Sample A            B0.7969 1.4731 1.2669 3.2137 1.5856 2.2486 0.4959 1.1156 0.5022 10.6207 0.5524 1.983510.3060 31.2243 0.6244 3.7984 1.9789 1.4710 1.6788 9.0351(a) Make q-q plots of both samples. (b) Perform a t-test (Welch's test). (c) Perform a MWU test. (d) Which test gave you the better p-value now? Why? (e) What is a “better” p-value? Why? (f) This is two sided - why?

A. For which data set is the sample correlation coefficient r closest to −1? B. For which data set is the sample correlation coefficient r closest to 0? C. For which data set is the sample correlation coefficient r equal to 1?