Researcher is interested in the relationship between sodium intake (mmol/d) and systolic blood pressure (SBP- mmHg). In a pilot study, he collected data on 12 subjects which were

recorded in the table below:

Subject

1

2

3

4

5

6

7

8

9

10

11

12

Sodium

intake

6.8 7.0

6.9 7.2 7.3 7.0 7.0 7.5 7.3 7.1 6.5

6.4

SBP

154 167 162 175 190 158 166 195 189 186 148 140

(i) Draw the scatter diagram for the data.

(ii) Compute a statistic to show the relationship between the sodium intake and systolic blood

pressure.

(iii) Comment of your result in (i) above

(iv) Calculate the coefficient of determination and interpret it.​

Find the area of a parallelogram with the given vertices. p(-2, -5), q(9, -5), r(1, 5), s(12, 5)

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Find the exact value of each of the following. in each case, show your work and explain the steps you take to find the value. (a) sin 17π/6 (b) tan 13π/4 (c) sec 11π/3